تكلم مع الذكاء الاصطناعي
Deck 13: Simple Linear Regression
ملء الشاشة (f)
سؤال
SCENARIO 13-2 
Referring to Scenario 13-2, what percentage of the total variation in candy bar sales is explained
By prices?
A) 100%
B) 88.54%
C) 78.39%
D) 48.19%
Referring to Scenario 13-2, what percentage of the total variation in candy bar sales is explained
By prices?
A) 100%
B) 88.54%
C) 78.39%
D) 48.19%
سؤال
SCENARIO 13-2
Referring to Scenario 13-2, what is the estimated mean change in the sales of the candy bar if
Price goes up by $1.00?
A) 161.386
B) 0.784
C) - 3.810
D) - 48.193
Referring to Scenario 13-2, what is the estimated mean change in the sales of the candy bar if
Price goes up by $1.00?
A) 161.386
B) 0.784
C) - 3.810
D) - 48.193
سؤال
SCENARIO 13-2
Referring to Scenario 13-2, what is the estimated slope for the candy bar price and sales data?
A) 161.386
B) 0.784
C) - 3.810
D) - 48.193
Referring to Scenario 13-2, what is the estimated slope for the candy bar price and sales data?
A) 161.386
B) 0.784
C) - 3.810
D) - 48.193
سؤال
SCENARIO 13-2
Referring to Scenario 13-2, if the price of the candy bar is set at $2, the predicted sales will be
A) 30
B) 65
C) 90
D) 100
Referring to Scenario 13-2, if the price of the candy bar is set at $2, the predicted sales will be
A) 30
B) 65
C) 90
D) 100
سؤال
سؤال
SCENARIO 13-1 
Referring to Scenario 13-1, interpret the estimate of
, the Y-intercept of the line.
A) All companies will be charged at least $2,700 by the bank.
B) There is no practical interpretation since a sales revenue of $0 is a nonsensical value.
C) About 95% of the observed service charges fall within $2,700 of the least squares line.
D) For every $1 million increase in sales revenue, we expect a service charge to decrease $2,700.
Referring to Scenario 13-1, interpret the estimate of
, the Y-intercept of the line.A) All companies will be charged at least $2,700 by the bank.
B) There is no practical interpretation since a sales revenue of $0 is a nonsensical value.
C) About 95% of the observed service charges fall within $2,700 of the least squares line.
D) For every $1 million increase in sales revenue, we expect a service charge to decrease $2,700.
سؤال
SCENARIO 13-2
سؤال
SCENARIO 13-2
Referring to Scenario 13-2, what is the standard error of the estimate, SYX, for the data?
A) 0.784
B) 0.885
C) 12.650
D) 16.299
Referring to Scenario 13-2, what is the standard error of the estimate, SYX, for the data?
A) 0.784
B) 0.885
C) 12.650
D) 16.299
سؤال
SCENARIO 13-2
سؤال
SCENARIO 13-2
Referring to Scenario 13-2, what is the standard error of the regression slope estimate, Sb1 ?
A) 0.784
B) 0.885
C) 12.650
D) 16.299
Referring to Scenario 13-2, what is the standard error of the regression slope estimate, Sb1 ?
A) 0.784
B) 0.885
C) 12.650
D) 16.299
سؤال
سؤال
سؤال
SCENARIO 13-1
Referring to Scenario 13-1, interpret the estimate of
, the standard deviation of the random
Error term (standard error of the estimate)in the model.
A) About 95% of the observed service charges fall within $65 of the least squares line.
B) About 95% of the observed service charges equal their corresponding predicted values.
C) About 95% of the observed service charges fall within $130 of the least squares line.
D) For every $1 million increase in sales revenue, we expect a service charge to increase $65.
Referring to Scenario 13-1, interpret the estimate of
, the standard deviation of the randomError term (standard error of the estimate)in the model.
A) About 95% of the observed service charges fall within $65 of the least squares line.
B) About 95% of the observed service charges equal their corresponding predicted values.
C) About 95% of the observed service charges fall within $130 of the least squares line.
D) For every $1 million increase in sales revenue, we expect a service charge to increase $65.
سؤال
SCENARIO 13-2
Referring to Scenario 13-2, what is the coefficient of correlation for these data?
A) - 0.8854
B) - 0.7839
C) 0.7839
D) 0.8854
Referring to Scenario 13-2, what is the coefficient of correlation for these data?
A) - 0.8854
B) - 0.7839
C) 0.7839
D) 0.8854
سؤال
SCENARIO 13-2
Referring to Scenario 13-2, if the price of the candy bar is set at $2, the estimated mean sales will
Be
A) 30
B) 65
C) 90
D) 100
Referring to Scenario 13-2, if the price of the candy bar is set at $2, the estimated mean sales will
Be
A) 30
B) 65
C) 90
D) 100
سؤال
SCENARIO 13-2
سؤال
سؤال
SCENARIO 13-2
Referring to Scenario 13-2, what is the percentage of the total variation in candy bar sales
Explained by the regression model?
A) 100%
B) 88.54%
C) 78.39%
D) 48.19%
Referring to Scenario 13-2, what is the percentage of the total variation in candy bar sales
Explained by the regression model?
A) 100%
B) 88.54%
C) 78.39%
D) 48.19%
سؤال
سؤال
سؤال
SCENARIO 13-4 
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the population slope was equal to 0.For a test with a level of significance of 0.01, the null
hypothesis should be rejected if the value of the test statistic is ________.
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the population slope was equal to 0.For a test with a level of significance of 0.01, the null
hypothesis should be rejected if the value of the test statistic is ________.
سؤال
SCENARIO 13-6
The following Excel tables are obtained when "Score received on an exam (measured in percentage
points)" (Y)is regressed on "percentage attendance" (X)for 22 students in a Statistics for Business
and Economics course.
Referring to Scenario 13-6, which of the following statements is true?
A) 14.26% of the total variability in score received can be explained by percentage attendance.
B) 14.2% of the total variability in percentage attendance can be explained by score received.
C) 2% of the total variability in score received can be explained by percentage attendance.
D) 2% of the total variability in percentage attendance can be explained by score received.
The following Excel tables are obtained when "Score received on an exam (measured in percentage
points)" (Y)is regressed on "percentage attendance" (X)for 22 students in a Statistics for Business
and Economics course.
Referring to Scenario 13-6, which of the following statements is true?
A) 14.26% of the total variability in score received can be explained by percentage attendance.
B) 14.2% of the total variability in percentage attendance can be explained by score received.
C) 2% of the total variability in score received can be explained by percentage attendance.
D) 2% of the total variability in percentage attendance can be explained by score received.
سؤال
سؤال
SCENARIO 13-3
The director of cooperative education at a state college wants to examine the effect of cooperative
education job experience on marketability in the work place.She takes a random sample of 4
students.For these 4, she finds out how many times each had a cooperative education job and how
many job offers they received upon graduation.These data are presented in the table below.
Referring to Scenario 13-3, the director of cooperative education wanted to test the hypothesis
that the population slope was equal to 3.0.The value of the test statistic is ________.
The director of cooperative education at a state college wants to examine the effect of cooperative
education job experience on marketability in the work place.She takes a random sample of 4
students.For these 4, she finds out how many times each had a cooperative education job and how
many job offers they received upon graduation.These data are presented in the table below.
Referring to Scenario 13-3, the director of cooperative education wanted to test the hypothesis
that the population slope was equal to 3.0.The value of the test statistic is ________.
سؤال
سؤال
SCENARIO 13-3
The director of cooperative education at a state college wants to examine the effect of cooperative
education job experience on marketability in the work place.She takes a random sample of 4
students.For these 4, she finds out how many times each had a cooperative education job and how
many job offers they received upon graduation.These data are presented in the table below.
Referring to Scenario 13-3, the director of cooperative education wanted to test the hypothesis
that the population slope was equal to 0.For a test with a level of significance of 0.05, the null
hypothesis should be rejected if the value of the test statistic is ________.
The director of cooperative education at a state college wants to examine the effect of cooperative
education job experience on marketability in the work place.She takes a random sample of 4
students.For these 4, she finds out how many times each had a cooperative education job and how
many job offers they received upon graduation.These data are presented in the table below.
Referring to Scenario 13-3, the director of cooperative education wanted to test the hypothesis
that the population slope was equal to 0.For a test with a level of significance of 0.05, the null
hypothesis should be rejected if the value of the test statistic is ________.
سؤال
SCENARIO 13-4
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the number of new clients brought in had a positive impact on the amount of sales generated.The
p-value of the test is ________.
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the number of new clients brought in had a positive impact on the amount of sales generated.The
p-value of the test is ________.
سؤال
SCENARIO 13-5
The managing partner of an advertising agency believes that his company's sales are related to the
industry sales.He uses Microsoft Excel to analyze the last 4 years of quarterly data with
the following results:
Durbin-Watson Statistic 1.59
Referring to Scenario 13-5, the partner wants to test for autocorrelation using the Durbin-Watson
Statistic.Using a level of significance of 0.05, the decision he should make is:
A) there is evidence of autocorrelation.
B) the test is unable to make a definite conclusion.
C) there is no evidence of autocorrelation.
D) there is not enough information to perform the test.
The managing partner of an advertising agency believes that his company's sales are related to the
industry sales.He uses Microsoft Excel to analyze the last 4 years of quarterly data with
the following results:
Durbin-Watson Statistic 1.59Referring to Scenario 13-5, the partner wants to test for autocorrelation using the Durbin-Watson
Statistic.Using a level of significance of 0.05, the decision he should make is:
A) there is evidence of autocorrelation.
B) the test is unable to make a definite conclusion.
C) there is no evidence of autocorrelation.
D) there is not enough information to perform the test.
سؤال
SCENARIO 13-4
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the population slope was equal to 0.At a level of significance of 0.01, the decision that should be
made implies that _____ (there is a or there is no)linear dependent relationship between the
independent and dependent variables.
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the population slope was equal to 0.At a level of significance of 0.01, the decision that should be
made implies that _____ (there is a or there is no)linear dependent relationship between the
independent and dependent variables.
سؤال
SCENARIO 13-5
The managing partner of an advertising agency believes that his company's sales are related to the
industry sales.He uses Microsoft Excel to analyze the last 4 years of quarterly data with
the following results: Durbin-Watson Statistic 1.59
If the Durbin-Watson statistic has a value close to 0, which assumption is violated?
A) Normality of the errors.
B) Independence of errors.
C) Homoscedasticity.
D) None of the above.
The managing partner of an advertising agency believes that his company's sales are related to the
industry sales.He uses Microsoft Excel to analyze the last 4 years of quarterly data with
the following results:
Durbin-Watson Statistic 1.59If the Durbin-Watson statistic has a value close to 0, which assumption is violated?
A) Normality of the errors.
B) Independence of errors.
C) Homoscedasticity.
D) None of the above.
سؤال
SCENARIO 13-4
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the number of new clients brought in had a positive impact on the amount of sales generated.At a
level of significance of 0.01, the decision that should be made implies that the number of new
clients brought in _____ (had or did not have)a positive impact on the amount of sales
generated.
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the number of new clients brought in had a positive impact on the amount of sales generated.At a
level of significance of 0.01, the decision that should be made implies that the number of new
clients brought in _____ (had or did not have)a positive impact on the amount of sales
generated.
سؤال
SCENARIO 13-4
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the number of new clients brought in had a positive impact on the amount of sales generated.For
a test with a level of significance of 0.01, the null hypothesis should be rejected if the value of the
test statistic is ________.
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the number of new clients brought in had a positive impact on the amount of sales generated.For
a test with a level of significance of 0.01, the null hypothesis should be rejected if the value of the
test statistic is ________.
سؤال
SCENARIO 13-4
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the population slope was equal to 0.At a level of significance of 0.01, the null hypothesis should
be _______ (rejected or not rejected).
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the population slope was equal to 0.At a level of significance of 0.01, the null hypothesis should
be _______ (rejected or not rejected).
سؤال
SCENARIO 13-5
The managing partner of an advertising agency believes that his company's sales are related to the
industry sales.He uses Microsoft Excel to analyze the last 4 years of quarterly data with
the following results: Durbin-Watson Statistic 1.59
If the Durbin-Watson statistic has a value close to 4, which assumption is violated?
A) Normality of the errors.
B) Independence of errors.
C) Homoscedasticity.
D) None of the above.
The managing partner of an advertising agency believes that his company's sales are related to the
industry sales.He uses Microsoft Excel to analyze the last 4 years of quarterly data with
the following results:
Durbin-Watson Statistic 1.59If the Durbin-Watson statistic has a value close to 4, which assumption is violated?
A) Normality of the errors.
B) Independence of errors.
C) Homoscedasticity.
D) None of the above.
سؤال
SCENARIO 13-4
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the number of new clients brought in had a positive impact on the amount of sales generated.At a
level of significance of 0.01, the null hypothesis should be _______ (rejected or not rejected).
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the number of new clients brought in had a positive impact on the amount of sales generated.At a
level of significance of 0.01, the null hypothesis should be _______ (rejected or not rejected).
سؤال
SCENARIO 13-5
The managing partner of an advertising agency believes that his company's sales are related to the
industry sales.He uses Microsoft Excel to analyze the last 4 years of quarterly data with
the following results: Durbin-Watson Statistic 1.59
The standard error of the estimate is a measure of
A) total variation of the Y variable.
B) the variation around the sample regression line.
C) explained variation.
D) the variation of the X variable.
The managing partner of an advertising agency believes that his company's sales are related to the
industry sales.He uses Microsoft Excel to analyze the last 4 years of quarterly data with
the following results:
Durbin-Watson Statistic 1.59The standard error of the estimate is a measure of
A) total variation of the Y variable.
B) the variation around the sample regression line.
C) explained variation.
D) the variation of the X variable.
سؤال
SCENARIO 13-5
The managing partner of an advertising agency believes that his company's sales are related to the
industry sales.He uses Microsoft Excel to analyze the last 4 years of quarterly data with
the following results: Durbin-Watson Statistic 1.59
The managing partner of an advertising agency believes that his company's sales are related to the
industry sales.He uses Microsoft Excel to analyze the last 4 years of quarterly data with
the following results:
Durbin-Watson Statistic 1.59 سؤال
SCENARIO 13-4
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the population slope was equal to 0.The p-value of the test is ________.
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the population slope was equal to 0.The p-value of the test is ________.
سؤال
SCENARIO 13-3
The director of cooperative education at a state college wants to examine the effect of cooperative
education job experience on marketability in the work place.She takes a random sample of 4
students.For these 4, she finds out how many times each had a cooperative education job and how
many job offers they received upon graduation.These data are presented in the table below.
Referring to Scenario 13-3, the director of cooperative education wanted to test the hypothesis
that the population slope was equal to 3.0.For a test with a level of significance of 0.05, the null
hypothesis should be rejected if the value of the test statistic is ________.
The director of cooperative education at a state college wants to examine the effect of cooperative
education job experience on marketability in the work place.She takes a random sample of 4
students.For these 4, she finds out how many times each had a cooperative education job and how
many job offers they received upon graduation.These data are presented in the table below.
Referring to Scenario 13-3, the director of cooperative education wanted to test the hypothesis
that the population slope was equal to 3.0.For a test with a level of significance of 0.05, the null
hypothesis should be rejected if the value of the test statistic is ________.
سؤال
SCENARIO 13-3
The director of cooperative education at a state college wants to examine the effect of cooperative
education job experience on marketability in the work place.She takes a random sample of 4
students.For these 4, she finds out how many times each had a cooperative education job and how
many job offers they received upon graduation.These data are presented in the table below.
Referring to Scenario 13-3, set up a scatter plot.
The director of cooperative education at a state college wants to examine the effect of cooperative
education job experience on marketability in the work place.She takes a random sample of 4
students.For these 4, she finds out how many times each had a cooperative education job and how
many job offers they received upon graduation.These data are presented in the table below.
Referring to Scenario 13-3, set up a scatter plot.
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سؤال
Assuming a linear relationship between X and Y, if the coefficient of correlation (r)equals
- 0)30,
- 0)30,
سؤال
سؤال
سؤال
SCENARIO 13-6
The following Excel tables are obtained when "Score received on an exam (measured in percentage
points)" (Y)is regressed on "percentage attendance" (X)for 22 students in a Statistics for Business
and Economics course.
Referring to Scenario 13-6, which of the following statements is true?
A) If attendance increases by 0.341%, the estimated mean score received will increase by 1 percentage point.
B) If attendance increases by 1%, the estimated mean score received will increase by 39.39 percentage points.
C) If attendance increases by 1%, the estimated mean score received will increase by 0.341 percentage points.
D) If the score received increases by 39.39%, the estimated mean attendance will go up by 1%.
The following Excel tables are obtained when "Score received on an exam (measured in percentage
points)" (Y)is regressed on "percentage attendance" (X)for 22 students in a Statistics for Business
and Economics course.
Referring to Scenario 13-6, which of the following statements is true?
A) If attendance increases by 0.341%, the estimated mean score received will increase by 1 percentage point.
B) If attendance increases by 1%, the estimated mean score received will increase by 39.39 percentage points.
C) If attendance increases by 1%, the estimated mean score received will increase by 0.341 percentage points.
D) If the score received increases by 39.39%, the estimated mean attendance will go up by 1%.
سؤال
سؤال
Based on the residual plot below, you will conclude that there might be a violation of which of
The following assumptions.
A) Linearity of the relationship
B) Normality of errors
C) Homoscedasticity
D) Independence of errors
The following assumptions.
A) Linearity of the relationship
B) Normality of errors
C) Homoscedasticity
D) Independence of errors
سؤال
سؤال
سؤال
SCENARIO 13-7 
Referring to Scenario 13-7, to test whether the prison stocks portfolio is negatively related to
The S&P 500 index, the measured value of the test statistic is
A) -7.019
B) -0.503
C) 0.072
D) 0.357
Referring to Scenario 13-7, to test whether the prison stocks portfolio is negatively related to
The S&P 500 index, the measured value of the test statistic is
A) -7.019
B) -0.503
C) 0.072
D) 0.357
سؤال
SCENARIO 13-7
Referring to Scenario 13-7, which of the following will be a correct conclusion?
A) You cannot reject the null hypothesis and, therefore, conclude that there is sufficient evidence to show that the prisons stock portfolio and S&P 500 index are negatively
Related.
B) You can reject the null hypothesis and, therefore, conclude that there is sufficient evidence to show that the prisons stock portfolio and S&P 500 index are negatively
Related.
C) You cannot reject the null hypothesis and, therefore, conclude that there is insufficient evidence to show that the prisons stock portfolio and S&P 500 index are negatively
Related.
D) You can reject the null hypothesis and conclude that there is insufficient evidence to show that the prisons stock portfolio and S&P 500 index are negatively related.
Referring to Scenario 13-7, which of the following will be a correct conclusion?
A) You cannot reject the null hypothesis and, therefore, conclude that there is sufficient evidence to show that the prisons stock portfolio and S&P 500 index are negatively
Related.
B) You can reject the null hypothesis and, therefore, conclude that there is sufficient evidence to show that the prisons stock portfolio and S&P 500 index are negatively
Related.
C) You cannot reject the null hypothesis and, therefore, conclude that there is insufficient evidence to show that the prisons stock portfolio and S&P 500 index are negatively
Related.
D) You can reject the null hypothesis and conclude that there is insufficient evidence to show that the prisons stock portfolio and S&P 500 index are negatively related.
سؤال
سؤال
سؤال
SCENARIO 13-11
A computer software developer would like to use the number of downloads (in thousands)for the trial
version of his new shareware to predict the amount of revenue (in thousands of dollars)he can make
on the full version of the new shareware.Following is the output from a simple linear regression
along with the residual plot and normal probability plot obtained from a data set of 30 different
sharewares that he has developed:
Simple Linear Regression 13-43
Referring to Scenario 13-11, predict the revenue when the number of downloads is 30
thousands.
A computer software developer would like to use the number of downloads (in thousands)for the trial
version of his new shareware to predict the amount of revenue (in thousands of dollars)he can make
on the full version of the new shareware.Following is the output from a simple linear regression
along with the residual plot and normal probability plot obtained from a data set of 30 different
sharewares that he has developed:
Simple Linear Regression 13-43
Referring to Scenario 13-11, predict the revenue when the number of downloads is 30
thousands.
سؤال
SCENARIO 13-9 
Referring to Scenario 13-9, the estimated change in mean salary (in thousands of dollars)as a
Result of spending an extra hour per day studying is
A)-1.8940
B)0.7845
C)0.9795
D)335.0473
Referring to Scenario 13-9, the estimated change in mean salary (in thousands of dollars)as a
Result of spending an extra hour per day studying is
A)-1.8940
B)0.7845
C)0.9795
D)335.0473
سؤال
If you wanted to find out if alcohol consumption (measured in fluid oz.)and grade point
Average on a 4-point scale are linearly related, you would perform a
Average on a 4-point scale are linearly related, you would perform a
سؤال
SCENARIO 13-11
A computer software developer would like to use the number of downloads (in thousands)for the trial
version of his new shareware to predict the amount of revenue (in thousands of dollars)he can make
on the full version of the new shareware.Following is the output from a simple linear regression
along with the residual plot and normal probability plot obtained from a data set of 30 different
sharewares that he has developed:
Simple Linear Regression 13-43
Referring to Scenario 13-11, which of the following is the correct interpretation for the slope
Coefficient?
A) For each decrease of 1 thousand downloads, the expected revenue is estimated to increase by $ 3.7297 thousands.
B) For each increase of 1 thousand downloads, the expected revenue is estimated to increase by $ 3.7297 thousands.
C) For each decrease of 1 thousand dollars in expected revenue, the expected number of downloads is estimated to increase by 3.7297 thousands.
D) For each increase of 1 thousand dollars in expected revenue, the expected number of downloads is estimated to increase by 3.7297 thousands.
A computer software developer would like to use the number of downloads (in thousands)for the trial
version of his new shareware to predict the amount of revenue (in thousands of dollars)he can make
on the full version of the new shareware.Following is the output from a simple linear regression
along with the residual plot and normal probability plot obtained from a data set of 30 different
sharewares that he has developed:
Simple Linear Regression 13-43
Referring to Scenario 13-11, which of the following is the correct interpretation for the slope
Coefficient?
A) For each decrease of 1 thousand downloads, the expected revenue is estimated to increase by $ 3.7297 thousands.
B) For each increase of 1 thousand downloads, the expected revenue is estimated to increase by $ 3.7297 thousands.
C) For each decrease of 1 thousand dollars in expected revenue, the expected number of downloads is estimated to increase by 3.7297 thousands.
D) For each increase of 1 thousand dollars in expected revenue, the expected number of downloads is estimated to increase by 3.7297 thousands.
سؤال
SCENARIO 13-8 
سؤال
SCENARIO 13-9
Referring to Scenario 13-9, the value of the measured t-test statistic to test whether mean
SALARY depends linearly on HOURS is
A) -4.7134
B) -1.8940
C) 0.9795
D) 13.3561
Referring to Scenario 13-9, the value of the measured t-test statistic to test whether mean
SALARY depends linearly on HOURS is
A) -4.7134
B) -1.8940
C) 0.9795
D) 13.3561
سؤال
SCENARIO 13-8
Referring to Scenario 13-8, the interpretation of the coefficient of determination in this
Regression is
A) 57.74% of the total variation of ACT scores can be explained by GPA.
B) ACT scores account for 57.74% of the total fluctuation in GPA.
C) GPA accounts for 57.74% of the variability of ACT scores.
D) None of the above.
Referring to Scenario 13-8, the interpretation of the coefficient of determination in this
Regression is
A) 57.74% of the total variation of ACT scores can be explained by GPA.
B) ACT scores account for 57.74% of the total fluctuation in GPA.
C) GPA accounts for 57.74% of the variability of ACT scores.
D) None of the above.
سؤال
SCENARIO 13-8
Referring to Scenario 13-8, the value of the measured test statistic to test whether there is any
Linear relationship between GPA and ACT is
A) 0.0356
B) 0.1021
C) 0.7598
D) 2.8633
Referring to Scenario 13-8, the value of the measured test statistic to test whether there is any
Linear relationship between GPA and ACT is
A) 0.0356
B) 0.1021
C) 0.7598
D) 2.8633
سؤال
SCENARIO 13-8
Referring to Scenario 13-8, what is the predicted value of GPA when ACT = 20?
A)2.61
B)2.66
C)2.80
D)3.12
Referring to Scenario 13-8, what is the predicted value of GPA when ACT = 20?
A)2.61
B)2.66
C)2.80
D)3.12
سؤال
SCENARIO 13-11
A computer software developer would like to use the number of downloads (in thousands)for the trial
version of his new shareware to predict the amount of revenue (in thousands of dollars)he can make
on the full version of the new shareware.Following is the output from a simple linear regression
along with the residual plot and normal probability plot obtained from a data set of 30 different
sharewares that he has developed:
Simple Linear Regression 13-43
Referring to Scenario 13-11, which of the following is the correct interpretation for the
Coefficient of determination?
A) 74.67% of the variation in revenue can be explained by the variation in the number of downloads.
B) 75.54% of the variation in revenue can be explained by the variation in the number of downloads.
C) 74.67% of the variation in the number of downloads can be explained by the variation in revenue.
D) 75.54% of the variation in the number of downloads can be explained by the variation in revenue.
A computer software developer would like to use the number of downloads (in thousands)for the trial
version of his new shareware to predict the amount of revenue (in thousands of dollars)he can make
on the full version of the new shareware.Following is the output from a simple linear regression
along with the residual plot and normal probability plot obtained from a data set of 30 different
sharewares that he has developed:
Simple Linear Regression 13-43
Referring to Scenario 13-11, which of the following is the correct interpretation for the
Coefficient of determination?
A) 74.67% of the variation in revenue can be explained by the variation in the number of downloads.
B) 75.54% of the variation in revenue can be explained by the variation in the number of downloads.
C) 74.67% of the variation in the number of downloads can be explained by the variation in revenue.
D) 75.54% of the variation in the number of downloads can be explained by the variation in revenue.
سؤال
SCENARIO 13-8
Referring to Scenario 13-8, what are the decision and conclusion on testing whether there is any
Linear relationship at 1% level of significance between GPA and ACT scores?
A) Do not reject the null hypothesis; hence there is insufficient evidence to show that ACT scores and GPA are linearly related.
B) Reject the null hypothesis; hence there is insufficient evidence to show that ACT scores and GPA are linearly related.
C) Do not reject the null hypothesis; hence there is sufficient evidence to show that ACT scores and GPA are linearly related.
D) Reject the null hypothesis; hence there is sufficient evidence to show that ACT scores and GPA are linearly related.
Referring to Scenario 13-8, what are the decision and conclusion on testing whether there is any
Linear relationship at 1% level of significance between GPA and ACT scores?
A) Do not reject the null hypothesis; hence there is insufficient evidence to show that ACT scores and GPA are linearly related.
B) Reject the null hypothesis; hence there is insufficient evidence to show that ACT scores and GPA are linearly related.
C) Do not reject the null hypothesis; hence there is sufficient evidence to show that ACT scores and GPA are linearly related.
D) Reject the null hypothesis; hence there is sufficient evidence to show that ACT scores and GPA are linearly related.
سؤال
سؤال
SCENARIO 13-11
A computer software developer would like to use the number of downloads (in thousands)for the trial
version of his new shareware to predict the amount of revenue (in thousands of dollars)he can make
on the full version of the new shareware.Following is the output from a simple linear regression
along with the residual plot and normal probability plot obtained from a data set of 30 different
sharewares that he has developed:
Simple Linear Regression 13-43
Referring to Scenario 13-11, what is the standard error of estimate?
A computer software developer would like to use the number of downloads (in thousands)for the trial
version of his new shareware to predict the amount of revenue (in thousands of dollars)he can make
on the full version of the new shareware.Following is the output from a simple linear regression
along with the residual plot and normal probability plot obtained from a data set of 30 different
sharewares that he has developed:
Simple Linear Regression 13-43
Referring to Scenario 13-11, what is the standard error of estimate?
سؤال
SCENARIO 13-7
Referring to Scenario 13-7, to test whether the prison stocks portfolio is negatively related to
The S&P 500 index, the appropriate null and alternative hypotheses are, respectively,
Referring to Scenario 13-7, to test whether the prison stocks portfolio is negatively related to
The S&P 500 index, the appropriate null and alternative hypotheses are, respectively,
سؤال
سؤال
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Deck 13: Simple Linear Regression
1
SCENARIO 13-2
Referring to Scenario 13-2, what percentage of the total variation in candy bar sales is explained
By prices?
A) 100%
B) 88.54%
C) 78.39%
D) 48.19%
Referring to Scenario 13-2, what percentage of the total variation in candy bar sales is explained
By prices?
A) 100%
B) 88.54%
C) 78.39%
D) 48.19%
C
2
SCENARIO 13-2
Referring to Scenario 13-2, what is the estimated mean change in the sales of the candy bar if
Price goes up by $1.00?
A) 161.386
B) 0.784
C) - 3.810
D) - 48.193
Referring to Scenario 13-2, what is the estimated mean change in the sales of the candy bar if
Price goes up by $1.00?
A) 161.386
B) 0.784
C) - 3.810
D) - 48.193
D
3
SCENARIO 13-2
Referring to Scenario 13-2, what is the estimated slope for the candy bar price and sales data?
A) 161.386
B) 0.784
C) - 3.810
D) - 48.193
Referring to Scenario 13-2, what is the estimated slope for the candy bar price and sales data?
A) 161.386
B) 0.784
C) - 3.810
D) - 48.193
D
4
SCENARIO 13-2
Referring to Scenario 13-2, if the price of the candy bar is set at $2, the predicted sales will be
A) 30
B) 65
C) 90
D) 100
Referring to Scenario 13-2, if the price of the candy bar is set at $2, the predicted sales will be
A) 30
B) 65
C) 90
D) 100
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6
SCENARIO 13-1
Referring to Scenario 13-1, interpret the estimate of , the Y-intercept of the line.
A) All companies will be charged at least $2,700 by the bank.
B) There is no practical interpretation since a sales revenue of $0 is a nonsensical value.
C) About 95% of the observed service charges fall within $2,700 of the least squares line.
D) For every $1 million increase in sales revenue, we expect a service charge to decrease $2,700.
Referring to Scenario 13-1, interpret the estimate of
, the Y-intercept of the line.A) All companies will be charged at least $2,700 by the bank.
B) There is no practical interpretation since a sales revenue of $0 is a nonsensical value.
C) About 95% of the observed service charges fall within $2,700 of the least squares line.
D) For every $1 million increase in sales revenue, we expect a service charge to decrease $2,700.
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7
SCENARIO 13-2
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8
SCENARIO 13-2
Referring to Scenario 13-2, what is the standard error of the estimate, SYX, for the data?
A) 0.784
B) 0.885
C) 12.650
D) 16.299
Referring to Scenario 13-2, what is the standard error of the estimate, SYX, for the data?
A) 0.784
B) 0.885
C) 12.650
D) 16.299
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9
SCENARIO 13-2
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10
SCENARIO 13-2
Referring to Scenario 13-2, what is the standard error of the regression slope estimate, Sb1 ?
A) 0.784
B) 0.885
C) 12.650
D) 16.299
Referring to Scenario 13-2, what is the standard error of the regression slope estimate, Sb1 ?
A) 0.784
B) 0.885
C) 12.650
D) 16.299
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13
SCENARIO 13-1
Referring to Scenario 13-1, interpret the estimate of , the standard deviation of the random
Error term (standard error of the estimate)in the model.
A) About 95% of the observed service charges fall within $65 of the least squares line.
B) About 95% of the observed service charges equal their corresponding predicted values.
C) About 95% of the observed service charges fall within $130 of the least squares line.
D) For every $1 million increase in sales revenue, we expect a service charge to increase $65.
Referring to Scenario 13-1, interpret the estimate of
, the standard deviation of the randomError term (standard error of the estimate)in the model.
A) About 95% of the observed service charges fall within $65 of the least squares line.
B) About 95% of the observed service charges equal their corresponding predicted values.
C) About 95% of the observed service charges fall within $130 of the least squares line.
D) For every $1 million increase in sales revenue, we expect a service charge to increase $65.
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14
SCENARIO 13-2
Referring to Scenario 13-2, what is the coefficient of correlation for these data?
A) - 0.8854
B) - 0.7839
C) 0.7839
D) 0.8854
Referring to Scenario 13-2, what is the coefficient of correlation for these data?
A) - 0.8854
B) - 0.7839
C) 0.7839
D) 0.8854
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15
SCENARIO 13-2
Referring to Scenario 13-2, if the price of the candy bar is set at $2, the estimated mean sales will
Be
A) 30
B) 65
C) 90
D) 100
Referring to Scenario 13-2, if the price of the candy bar is set at $2, the estimated mean sales will
Be
A) 30
B) 65
C) 90
D) 100
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16
SCENARIO 13-2
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17
The Y-intercept (b0)represents the
A) estimated average Y when X = 0.
B) change in estimated average Y per unit change in X.
C) predicted value of Y.
D) variation around the sample regression line.
A) estimated average Y when X = 0.
B) change in estimated average Y per unit change in X.
C) predicted value of Y.
D) variation around the sample regression line.
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18
SCENARIO 13-2
Referring to Scenario 13-2, what is the percentage of the total variation in candy bar sales
Explained by the regression model?
A) 100%
B) 88.54%
C) 78.39%
D) 48.19%
Referring to Scenario 13-2, what is the percentage of the total variation in candy bar sales
Explained by the regression model?
A) 100%
B) 88.54%
C) 78.39%
D) 48.19%
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19
The least squares method minimizes which of the following?
A) SSR
B) SSE
C) SST
D) All of the above
A) SSR
B) SSE
C) SST
D) All of the above
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20
The Y-intercept (b0)represents the
A) predicted value of Y when X = 0.
B) change in estimated Y per unit change in X.
C) predicted value of Y.
D) variation around the sample regression line.
A) predicted value of Y when X = 0.
B) change in estimated Y per unit change in X.
C) predicted value of Y.
D) variation around the sample regression line.
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21
SCENARIO 13-4
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the population slope was equal to 0.For a test with a level of significance of 0.01, the null
hypothesis should be rejected if the value of the test statistic is ________.
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the population slope was equal to 0.For a test with a level of significance of 0.01, the null
hypothesis should be rejected if the value of the test statistic is ________.
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22
SCENARIO 13-6
The following Excel tables are obtained when "Score received on an exam (measured in percentage
points)" (Y)is regressed on "percentage attendance" (X)for 22 students in a Statistics for Business
and Economics course.
Referring to Scenario 13-6, which of the following statements is true?
A) 14.26% of the total variability in score received can be explained by percentage attendance.
B) 14.2% of the total variability in percentage attendance can be explained by score received.
C) 2% of the total variability in score received can be explained by percentage attendance.
D) 2% of the total variability in percentage attendance can be explained by score received.
The following Excel tables are obtained when "Score received on an exam (measured in percentage
points)" (Y)is regressed on "percentage attendance" (X)for 22 students in a Statistics for Business
and Economics course.
Referring to Scenario 13-6, which of the following statements is true?
A) 14.26% of the total variability in score received can be explained by percentage attendance.
B) 14.2% of the total variability in percentage attendance can be explained by score received.
C) 2% of the total variability in score received can be explained by percentage attendance.
D) 2% of the total variability in percentage attendance can be explained by score received.
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23
The residual represents the discrepancy between the observed dependent variable and its
_______ value.
_______ value.
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24
SCENARIO 13-3
The director of cooperative education at a state college wants to examine the effect of cooperative
education job experience on marketability in the work place.She takes a random sample of 4
students.For these 4, she finds out how many times each had a cooperative education job and how
many job offers they received upon graduation.These data are presented in the table below.
Referring to Scenario 13-3, the director of cooperative education wanted to test the hypothesis
that the population slope was equal to 3.0.The value of the test statistic is ________.
The director of cooperative education at a state college wants to examine the effect of cooperative
education job experience on marketability in the work place.She takes a random sample of 4
students.For these 4, she finds out how many times each had a cooperative education job and how
many job offers they received upon graduation.These data are presented in the table below.
Referring to Scenario 13-3, the director of cooperative education wanted to test the hypothesis
that the population slope was equal to 3.0.The value of the test statistic is ________.
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25
True of False: The Chancellor of a university has commissioned a team to collect data on
students' GPAs and the amount of time they spend bar hopping every week (measured in
minutes).He wants to know if imposing much tougher regulations on all campus bars to make it
more difficult for students to spend time in any campus bar will have a significant impact on
general students' GPAs.His team should use a t test on the slope of the population regression.
students' GPAs and the amount of time they spend bar hopping every week (measured in
minutes).He wants to know if imposing much tougher regulations on all campus bars to make it
more difficult for students to spend time in any campus bar will have a significant impact on
general students' GPAs.His team should use a t test on the slope of the population regression.
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SCENARIO 13-3
The director of cooperative education at a state college wants to examine the effect of cooperative
education job experience on marketability in the work place.She takes a random sample of 4
students.For these 4, she finds out how many times each had a cooperative education job and how
many job offers they received upon graduation.These data are presented in the table below.
Referring to Scenario 13-3, the director of cooperative education wanted to test the hypothesis
that the population slope was equal to 0.For a test with a level of significance of 0.05, the null
hypothesis should be rejected if the value of the test statistic is ________.
The director of cooperative education at a state college wants to examine the effect of cooperative
education job experience on marketability in the work place.She takes a random sample of 4
students.For these 4, she finds out how many times each had a cooperative education job and how
many job offers they received upon graduation.These data are presented in the table below.
Referring to Scenario 13-3, the director of cooperative education wanted to test the hypothesis
that the population slope was equal to 0.For a test with a level of significance of 0.05, the null
hypothesis should be rejected if the value of the test statistic is ________.
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SCENARIO 13-4
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the number of new clients brought in had a positive impact on the amount of sales generated.The
p-value of the test is ________.
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the number of new clients brought in had a positive impact on the amount of sales generated.The
p-value of the test is ________.
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SCENARIO 13-5
The managing partner of an advertising agency believes that his company's sales are related to the
industry sales.He uses Microsoft Excel to analyze the last 4 years of quarterly data with
the following results: Durbin-Watson Statistic 1.59
Referring to Scenario 13-5, the partner wants to test for autocorrelation using the Durbin-Watson
Statistic.Using a level of significance of 0.05, the decision he should make is:
A) there is evidence of autocorrelation.
B) the test is unable to make a definite conclusion.
C) there is no evidence of autocorrelation.
D) there is not enough information to perform the test.
The managing partner of an advertising agency believes that his company's sales are related to the
industry sales.He uses Microsoft Excel to analyze the last 4 years of quarterly data with
the following results:
Durbin-Watson Statistic 1.59Referring to Scenario 13-5, the partner wants to test for autocorrelation using the Durbin-Watson
Statistic.Using a level of significance of 0.05, the decision he should make is:
A) there is evidence of autocorrelation.
B) the test is unable to make a definite conclusion.
C) there is no evidence of autocorrelation.
D) there is not enough information to perform the test.
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SCENARIO 13-4
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the population slope was equal to 0.At a level of significance of 0.01, the decision that should be
made implies that _____ (there is a or there is no)linear dependent relationship between the
independent and dependent variables.
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the population slope was equal to 0.At a level of significance of 0.01, the decision that should be
made implies that _____ (there is a or there is no)linear dependent relationship between the
independent and dependent variables.
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SCENARIO 13-5
The managing partner of an advertising agency believes that his company's sales are related to the
industry sales.He uses Microsoft Excel to analyze the last 4 years of quarterly data with
the following results: Durbin-Watson Statistic 1.59
If the Durbin-Watson statistic has a value close to 0, which assumption is violated?
A) Normality of the errors.
B) Independence of errors.
C) Homoscedasticity.
D) None of the above.
The managing partner of an advertising agency believes that his company's sales are related to the
industry sales.He uses Microsoft Excel to analyze the last 4 years of quarterly data with
the following results:
Durbin-Watson Statistic 1.59If the Durbin-Watson statistic has a value close to 0, which assumption is violated?
A) Normality of the errors.
B) Independence of errors.
C) Homoscedasticity.
D) None of the above.
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SCENARIO 13-4
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the number of new clients brought in had a positive impact on the amount of sales generated.At a
level of significance of 0.01, the decision that should be made implies that the number of new
clients brought in _____ (had or did not have)a positive impact on the amount of sales
generated.
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the number of new clients brought in had a positive impact on the amount of sales generated.At a
level of significance of 0.01, the decision that should be made implies that the number of new
clients brought in _____ (had or did not have)a positive impact on the amount of sales
generated.
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SCENARIO 13-4
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the number of new clients brought in had a positive impact on the amount of sales generated.For
a test with a level of significance of 0.01, the null hypothesis should be rejected if the value of the
test statistic is ________.
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the number of new clients brought in had a positive impact on the amount of sales generated.For
a test with a level of significance of 0.01, the null hypothesis should be rejected if the value of the
test statistic is ________.
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SCENARIO 13-4
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the population slope was equal to 0.At a level of significance of 0.01, the null hypothesis should
be _______ (rejected or not rejected).
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the population slope was equal to 0.At a level of significance of 0.01, the null hypothesis should
be _______ (rejected or not rejected).
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SCENARIO 13-5
The managing partner of an advertising agency believes that his company's sales are related to the
industry sales.He uses Microsoft Excel to analyze the last 4 years of quarterly data with
the following results: Durbin-Watson Statistic 1.59
If the Durbin-Watson statistic has a value close to 4, which assumption is violated?
A) Normality of the errors.
B) Independence of errors.
C) Homoscedasticity.
D) None of the above.
The managing partner of an advertising agency believes that his company's sales are related to the
industry sales.He uses Microsoft Excel to analyze the last 4 years of quarterly data with
the following results:
Durbin-Watson Statistic 1.59If the Durbin-Watson statistic has a value close to 4, which assumption is violated?
A) Normality of the errors.
B) Independence of errors.
C) Homoscedasticity.
D) None of the above.
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SCENARIO 13-4
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the number of new clients brought in had a positive impact on the amount of sales generated.At a
level of significance of 0.01, the null hypothesis should be _______ (rejected or not rejected).
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the number of new clients brought in had a positive impact on the amount of sales generated.At a
level of significance of 0.01, the null hypothesis should be _______ (rejected or not rejected).
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SCENARIO 13-5
The managing partner of an advertising agency believes that his company's sales are related to the
industry sales.He uses Microsoft Excel to analyze the last 4 years of quarterly data with
the following results: Durbin-Watson Statistic 1.59
The standard error of the estimate is a measure of
A) total variation of the Y variable.
B) the variation around the sample regression line.
C) explained variation.
D) the variation of the X variable.
The managing partner of an advertising agency believes that his company's sales are related to the
industry sales.He uses Microsoft Excel to analyze the last 4 years of quarterly data with
the following results:
Durbin-Watson Statistic 1.59The standard error of the estimate is a measure of
A) total variation of the Y variable.
B) the variation around the sample regression line.
C) explained variation.
D) the variation of the X variable.
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SCENARIO 13-5
The managing partner of an advertising agency believes that his company's sales are related to the
industry sales.He uses Microsoft Excel to analyze the last 4 years of quarterly data with
the following results: Durbin-Watson Statistic 1.59
The managing partner of an advertising agency believes that his company's sales are related to the
industry sales.He uses Microsoft Excel to analyze the last 4 years of quarterly data with
the following results:
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SCENARIO 13-4
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the population slope was equal to 0.The p-value of the test is ________.
Simple Linear Regression 13-13
Referring to Scenario 13-4, the managers of the brokerage firm wanted to test the hypothesis that
the population slope was equal to 0.The p-value of the test is ________.
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SCENARIO 13-3
The director of cooperative education at a state college wants to examine the effect of cooperative
education job experience on marketability in the work place.She takes a random sample of 4
students.For these 4, she finds out how many times each had a cooperative education job and how
many job offers they received upon graduation.These data are presented in the table below.
Referring to Scenario 13-3, the director of cooperative education wanted to test the hypothesis
that the population slope was equal to 3.0.For a test with a level of significance of 0.05, the null
hypothesis should be rejected if the value of the test statistic is ________.
The director of cooperative education at a state college wants to examine the effect of cooperative
education job experience on marketability in the work place.She takes a random sample of 4
students.For these 4, she finds out how many times each had a cooperative education job and how
many job offers they received upon graduation.These data are presented in the table below.
Referring to Scenario 13-3, the director of cooperative education wanted to test the hypothesis
that the population slope was equal to 3.0.For a test with a level of significance of 0.05, the null
hypothesis should be rejected if the value of the test statistic is ________.
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40
SCENARIO 13-3
The director of cooperative education at a state college wants to examine the effect of cooperative
education job experience on marketability in the work place.She takes a random sample of 4
students.For these 4, she finds out how many times each had a cooperative education job and how
many job offers they received upon graduation.These data are presented in the table below.
Referring to Scenario 13-3, set up a scatter plot.
The director of cooperative education at a state college wants to examine the effect of cooperative
education job experience on marketability in the work place.She takes a random sample of 4
students.For these 4, she finds out how many times each had a cooperative education job and how
many job offers they received upon graduation.These data are presented in the table below.
Referring to Scenario 13-3, set up a scatter plot.
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True or False: The Regression Sum of Squares (SSR)can never be greater than the Total Sum of
Squares (SST).
Squares (SST).
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42
In a simple linear regression problem, r and b1
A) may have opposite signs.
B) must have the same sign.
C) must have opposite signs.
D) are equal.
A) may have opposite signs.
B) must have the same sign.
C) must have opposite signs.
D) are equal.
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45
If the plot of the residuals is fan shaped, which assumption is violated?
A) Normality.
B) Homoscedasticity.
C) Independence of errors.
D) No assumptions are violated, the graph should resemble a fan.
A) Normality.
B) Homoscedasticity.
C) Independence of errors.
D) No assumptions are violated, the graph should resemble a fan.
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46
The residuals represent
A) the difference between the actual Y values and the mean of Y.
B) the difference between the actual Y values and the predicted Y values.
C) the square root of the slope.
D) the predicted value of Y for the average X value.
A) the difference between the actual Y values and the mean of Y.
B) the difference between the actual Y values and the predicted Y values.
C) the square root of the slope.
D) the predicted value of Y for the average X value.
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47
The strength of the linear relationship between two numerical variables may be measured by
The
A) scatter plot.
B) coefficient of correlation.
C) slope.
D) Y-intercept.
The
A) scatter plot.
B) coefficient of correlation.
C) slope.
D) Y-intercept.
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48
True or False: Data that exhibit an autocorrelation effect violate the regression assumption of
independence.
independence.
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49
True or False: The value of r is always positive.
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50
If the correlation coefficient (r)= 1.00, then
A) all the data points must fall exactly on a straight line with a slope that equals 1.00.
B) all the data points must fall exactly on a straight line with a negative slope.
C) all the data points must fall exactly on a straight line with a positive slope.
D) all the data points must fall exactly on a horizontal straight line with a zero slope.
A) all the data points must fall exactly on a straight line with a slope that equals 1.00.
B) all the data points must fall exactly on a straight line with a negative slope.
C) all the data points must fall exactly on a straight line with a positive slope.
D) all the data points must fall exactly on a horizontal straight line with a zero slope.
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51
True or False: Regression analysis is used for prediction, while correlation analysis is used to
measure the strength of the association between two numerical variables.
measure the strength of the association between two numerical variables.
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52
If the residuals in a regression analysis of time-ordered data are not correlated, the value of the
Durbin-Watson D statistic should be near __________.
Durbin-Watson D statistic should be near __________.
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53
Assuming a linear relationship between X and Y, if the coefficient of correlation (r)equals
- 0)30,
- 0)30,
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54
In performing a regression analysis involving two numerical variables, you are assuming
A) the variances of X and Y are equal.
B) the variation around the line of regression is the same for each X value.
C) that X and Y are independent.
D) All of the above.
A) the variances of X and Y are equal.
B) the variation around the line of regression is the same for each X value.
C) that X and Y are independent.
D) All of the above.
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55
True or False: The coefficient of determination represents the ratio of SSR to SST.
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56
SCENARIO 13-6
The following Excel tables are obtained when "Score received on an exam (measured in percentage
points)" (Y)is regressed on "percentage attendance" (X)for 22 students in a Statistics for Business
and Economics course.
Referring to Scenario 13-6, which of the following statements is true?
A) If attendance increases by 0.341%, the estimated mean score received will increase by 1 percentage point.
B) If attendance increases by 1%, the estimated mean score received will increase by 39.39 percentage points.
C) If attendance increases by 1%, the estimated mean score received will increase by 0.341 percentage points.
D) If the score received increases by 39.39%, the estimated mean attendance will go up by 1%.
The following Excel tables are obtained when "Score received on an exam (measured in percentage
points)" (Y)is regressed on "percentage attendance" (X)for 22 students in a Statistics for Business
and Economics course.
Referring to Scenario 13-6, which of the following statements is true?
A) If attendance increases by 0.341%, the estimated mean score received will increase by 1 percentage point.
B) If attendance increases by 1%, the estimated mean score received will increase by 39.39 percentage points.
C) If attendance increases by 1%, the estimated mean score received will increase by 0.341 percentage points.
D) If the score received increases by 39.39%, the estimated mean attendance will go up by 1%.
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58
Based on the residual plot below, you will conclude that there might be a violation of which of
The following assumptions.
A) Linearity of the relationship
B) Normality of errors
C) Homoscedasticity
D) Independence of errors
The following assumptions.
A) Linearity of the relationship
B) Normality of errors
C) Homoscedasticity
D) Independence of errors
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59
True or False: The Durbin-Watson D statistic is used to check the assumption of normality.
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60
Which of the following assumptions concerning the probability distribution of the random error
Term is stated incorrectly?
A) The distribution is normal.
B) The mean of the distribution is 0.
C) The variance of the distribution increases as X increases.
D) The errors are independent.
Term is stated incorrectly?
A) The distribution is normal.
B) The mean of the distribution is 0.
C) The variance of the distribution increases as X increases.
D) The errors are independent.
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61
SCENARIO 13-7
Referring to Scenario 13-7, to test whether the prison stocks portfolio is negatively related to
The S&P 500 index, the measured value of the test statistic is
A) -7.019
B) -0.503
C) 0.072
D) 0.357
Referring to Scenario 13-7, to test whether the prison stocks portfolio is negatively related to
The S&P 500 index, the measured value of the test statistic is
A) -7.019
B) -0.503
C) 0.072
D) 0.357
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62
SCENARIO 13-7
Referring to Scenario 13-7, which of the following will be a correct conclusion?
A) You cannot reject the null hypothesis and, therefore, conclude that there is sufficient evidence to show that the prisons stock portfolio and S&P 500 index are negatively
Related.
B) You can reject the null hypothesis and, therefore, conclude that there is sufficient evidence to show that the prisons stock portfolio and S&P 500 index are negatively
Related.
C) You cannot reject the null hypothesis and, therefore, conclude that there is insufficient evidence to show that the prisons stock portfolio and S&P 500 index are negatively
Related.
D) You can reject the null hypothesis and conclude that there is insufficient evidence to show that the prisons stock portfolio and S&P 500 index are negatively related.
Referring to Scenario 13-7, which of the following will be a correct conclusion?
A) You cannot reject the null hypothesis and, therefore, conclude that there is sufficient evidence to show that the prisons stock portfolio and S&P 500 index are negatively
Related.
B) You can reject the null hypothesis and, therefore, conclude that there is sufficient evidence to show that the prisons stock portfolio and S&P 500 index are negatively
Related.
C) You cannot reject the null hypothesis and, therefore, conclude that there is insufficient evidence to show that the prisons stock portfolio and S&P 500 index are negatively
Related.
D) You can reject the null hypothesis and conclude that there is insufficient evidence to show that the prisons stock portfolio and S&P 500 index are negatively related.
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64
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65
SCENARIO 13-11
A computer software developer would like to use the number of downloads (in thousands)for the trial
version of his new shareware to predict the amount of revenue (in thousands of dollars)he can make
on the full version of the new shareware.Following is the output from a simple linear regression
along with the residual plot and normal probability plot obtained from a data set of 30 different
sharewares that he has developed:
Simple Linear Regression 13-43
Referring to Scenario 13-11, predict the revenue when the number of downloads is 30
thousands.
A computer software developer would like to use the number of downloads (in thousands)for the trial
version of his new shareware to predict the amount of revenue (in thousands of dollars)he can make
on the full version of the new shareware.Following is the output from a simple linear regression
along with the residual plot and normal probability plot obtained from a data set of 30 different
sharewares that he has developed:
Simple Linear Regression 13-43
Referring to Scenario 13-11, predict the revenue when the number of downloads is 30
thousands.
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66
SCENARIO 13-9
Referring to Scenario 13-9, the estimated change in mean salary (in thousands of dollars)as a
Result of spending an extra hour per day studying is
A)-1.8940
B)0.7845
C)0.9795
D)335.0473
Referring to Scenario 13-9, the estimated change in mean salary (in thousands of dollars)as a
Result of spending an extra hour per day studying is
A)-1.8940
B)0.7845
C)0.9795
D)335.0473
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67
If you wanted to find out if alcohol consumption (measured in fluid oz.)and grade point
Average on a 4-point scale are linearly related, you would perform a
Average on a 4-point scale are linearly related, you would perform a
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68
SCENARIO 13-11
A computer software developer would like to use the number of downloads (in thousands)for the trial
version of his new shareware to predict the amount of revenue (in thousands of dollars)he can make
on the full version of the new shareware.Following is the output from a simple linear regression
along with the residual plot and normal probability plot obtained from a data set of 30 different
sharewares that he has developed:
Simple Linear Regression 13-43
Referring to Scenario 13-11, which of the following is the correct interpretation for the slope
Coefficient?
A) For each decrease of 1 thousand downloads, the expected revenue is estimated to increase by $ 3.7297 thousands.
B) For each increase of 1 thousand downloads, the expected revenue is estimated to increase by $ 3.7297 thousands.
C) For each decrease of 1 thousand dollars in expected revenue, the expected number of downloads is estimated to increase by 3.7297 thousands.
D) For each increase of 1 thousand dollars in expected revenue, the expected number of downloads is estimated to increase by 3.7297 thousands.
A computer software developer would like to use the number of downloads (in thousands)for the trial
version of his new shareware to predict the amount of revenue (in thousands of dollars)he can make
on the full version of the new shareware.Following is the output from a simple linear regression
along with the residual plot and normal probability plot obtained from a data set of 30 different
sharewares that he has developed:
Simple Linear Regression 13-43
Referring to Scenario 13-11, which of the following is the correct interpretation for the slope
Coefficient?
A) For each decrease of 1 thousand downloads, the expected revenue is estimated to increase by $ 3.7297 thousands.
B) For each increase of 1 thousand downloads, the expected revenue is estimated to increase by $ 3.7297 thousands.
C) For each decrease of 1 thousand dollars in expected revenue, the expected number of downloads is estimated to increase by 3.7297 thousands.
D) For each increase of 1 thousand dollars in expected revenue, the expected number of downloads is estimated to increase by 3.7297 thousands.
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SCENARIO 13-8
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70
SCENARIO 13-9
Referring to Scenario 13-9, the value of the measured t-test statistic to test whether mean
SALARY depends linearly on HOURS is
A) -4.7134
B) -1.8940
C) 0.9795
D) 13.3561
Referring to Scenario 13-9, the value of the measured t-test statistic to test whether mean
SALARY depends linearly on HOURS is
A) -4.7134
B) -1.8940
C) 0.9795
D) 13.3561
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71
SCENARIO 13-8
Referring to Scenario 13-8, the interpretation of the coefficient of determination in this
Regression is
A) 57.74% of the total variation of ACT scores can be explained by GPA.
B) ACT scores account for 57.74% of the total fluctuation in GPA.
C) GPA accounts for 57.74% of the variability of ACT scores.
D) None of the above.
Referring to Scenario 13-8, the interpretation of the coefficient of determination in this
Regression is
A) 57.74% of the total variation of ACT scores can be explained by GPA.
B) ACT scores account for 57.74% of the total fluctuation in GPA.
C) GPA accounts for 57.74% of the variability of ACT scores.
D) None of the above.
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SCENARIO 13-8
Referring to Scenario 13-8, the value of the measured test statistic to test whether there is any
Linear relationship between GPA and ACT is
A) 0.0356
B) 0.1021
C) 0.7598
D) 2.8633
Referring to Scenario 13-8, the value of the measured test statistic to test whether there is any
Linear relationship between GPA and ACT is
A) 0.0356
B) 0.1021
C) 0.7598
D) 2.8633
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SCENARIO 13-8
Referring to Scenario 13-8, what is the predicted value of GPA when ACT = 20?
A)2.61
B)2.66
C)2.80
D)3.12
Referring to Scenario 13-8, what is the predicted value of GPA when ACT = 20?
A)2.61
B)2.66
C)2.80
D)3.12
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74
SCENARIO 13-11
A computer software developer would like to use the number of downloads (in thousands)for the trial
version of his new shareware to predict the amount of revenue (in thousands of dollars)he can make
on the full version of the new shareware.Following is the output from a simple linear regression
along with the residual plot and normal probability plot obtained from a data set of 30 different
sharewares that he has developed:
Simple Linear Regression 13-43
Referring to Scenario 13-11, which of the following is the correct interpretation for the
Coefficient of determination?
A) 74.67% of the variation in revenue can be explained by the variation in the number of downloads.
B) 75.54% of the variation in revenue can be explained by the variation in the number of downloads.
C) 74.67% of the variation in the number of downloads can be explained by the variation in revenue.
D) 75.54% of the variation in the number of downloads can be explained by the variation in revenue.
A computer software developer would like to use the number of downloads (in thousands)for the trial
version of his new shareware to predict the amount of revenue (in thousands of dollars)he can make
on the full version of the new shareware.Following is the output from a simple linear regression
along with the residual plot and normal probability plot obtained from a data set of 30 different
sharewares that he has developed:
Simple Linear Regression 13-43
Referring to Scenario 13-11, which of the following is the correct interpretation for the
Coefficient of determination?
A) 74.67% of the variation in revenue can be explained by the variation in the number of downloads.
B) 75.54% of the variation in revenue can be explained by the variation in the number of downloads.
C) 74.67% of the variation in the number of downloads can be explained by the variation in revenue.
D) 75.54% of the variation in the number of downloads can be explained by the variation in revenue.
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SCENARIO 13-8
Referring to Scenario 13-8, what are the decision and conclusion on testing whether there is any
Linear relationship at 1% level of significance between GPA and ACT scores?
A) Do not reject the null hypothesis; hence there is insufficient evidence to show that ACT scores and GPA are linearly related.
B) Reject the null hypothesis; hence there is insufficient evidence to show that ACT scores and GPA are linearly related.
C) Do not reject the null hypothesis; hence there is sufficient evidence to show that ACT scores and GPA are linearly related.
D) Reject the null hypothesis; hence there is sufficient evidence to show that ACT scores and GPA are linearly related.
Referring to Scenario 13-8, what are the decision and conclusion on testing whether there is any
Linear relationship at 1% level of significance between GPA and ACT scores?
A) Do not reject the null hypothesis; hence there is insufficient evidence to show that ACT scores and GPA are linearly related.
B) Reject the null hypothesis; hence there is insufficient evidence to show that ACT scores and GPA are linearly related.
C) Do not reject the null hypothesis; hence there is sufficient evidence to show that ACT scores and GPA are linearly related.
D) Reject the null hypothesis; hence there is sufficient evidence to show that ACT scores and GPA are linearly related.
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True or False: When r = - 1, it indicates a perfect relationship between X and Y.
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SCENARIO 13-11
A computer software developer would like to use the number of downloads (in thousands)for the trial
version of his new shareware to predict the amount of revenue (in thousands of dollars)he can make
on the full version of the new shareware.Following is the output from a simple linear regression
along with the residual plot and normal probability plot obtained from a data set of 30 different
sharewares that he has developed:
Simple Linear Regression 13-43
Referring to Scenario 13-11, what is the standard error of estimate?
A computer software developer would like to use the number of downloads (in thousands)for the trial
version of his new shareware to predict the amount of revenue (in thousands of dollars)he can make
on the full version of the new shareware.Following is the output from a simple linear regression
along with the residual plot and normal probability plot obtained from a data set of 30 different
sharewares that he has developed:
Simple Linear Regression 13-43
Referring to Scenario 13-11, what is the standard error of estimate?
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SCENARIO 13-7
Referring to Scenario 13-7, to test whether the prison stocks portfolio is negatively related to
The S&P 500 index, the appropriate null and alternative hypotheses are, respectively,
Referring to Scenario 13-7, to test whether the prison stocks portfolio is negatively related to
The S&P 500 index, the appropriate null and alternative hypotheses are, respectively,
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فتح الحزمة
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فتح الحزمة
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