Deck 4: Regression Analysis: Exploring Associations Between Variables
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Deck 4: Regression Analysis: Exploring Associations Between Variables
1
Choose the scatterplot that matches the given correlation coefficient.


B
2
Which of the following statements regarding the correlation coefficient is not true?
A) The correlation coefficient measures the strength of the linear relationship between two numerical variables.
B) A value of 0.00 indicates that two variables are perfectly linearly correlated.
C) The correlation coefficient has values that range from -1.0 to 1.0 inclusive.
D) All of these are true statements.
A) The correlation coefficient measures the strength of the linear relationship between two numerical variables.
B) A value of 0.00 indicates that two variables are perfectly linearly correlated.
C) The correlation coefficient has values that range from -1.0 to 1.0 inclusive.
D) All of these are true statements.
A value of 0.00 indicates that two variables are perfectly linearly correlated.
3
Use the following information to answer the question. The following linear regression model can be used to predict ticketsales at a popular water park.
Ticket sales per hour=-631.25+11.25(current temperature in °F)
-What is the predicted number of tickets sold per hour if the temperature is 86°F? Round to the nearest whole ticket.
A) About 252 tickets
B) About 276 tickets
C) About 336 tickets
D) About 301 tickets
Ticket sales per hour=-631.25+11.25(current temperature in °F)
-What is the predicted number of tickets sold per hour if the temperature is 86°F? Round to the nearest whole ticket.
A) About 252 tickets
B) About 276 tickets
C) About 336 tickets
D) About 301 tickets
About 336 tickets
4
It is determined that a positive linear association exists between amount of a new smokingcessation drug taken (in milliliters) and weight gain in women (in pounds). The scatterplot belowshows the association. The prediction equation is also given. A pharmacy technician uses the modelto predict the potential weight gain for a man who takes the recommended dosage. Choose the beststatement to summarize why this is not an appropriate use for the model.
A) This is an inappropriate use of the model because taking the smoking cessation drug does not cause weight gain. Correlation does not mean causation.
B) This is an inappropriate use of the model because a man would be an outlier in this context.
C) This is an inappropriate use of the model because the model was used to make predictions beyond the scope of the data. The Pharmecy Technician is extrapolating.
A) This is an inappropriate use of the model because taking the smoking cessation drug does not cause weight gain. Correlation does not mean causation.
B) This is an inappropriate use of the model because a man would be an outlier in this context.
C) This is an inappropriate use of the model because the model was used to make predictions beyond the scope of the data. The Pharmecy Technician is extrapolating.
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5
Choose the scatterplot that matches the given correlation coefficient.
-
A)

B)

C)

-
A)

B)

C)

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6
The following calculator screenshots show the scatterplot and the correlation coefficient between the number of days absent and the final grade for a sample of college students in a general education statistics course at a large community college.
The relationship between "days absent" and "final grade" can be described as
A) A strong negative linear relationship
B) A strong positive linear relationship
C) A weak negative relationship
D) A moderate positive linear relationship

A) A strong negative linear relationship
B) A strong positive linear relationship
C) A weak negative relationship
D) A moderate positive linear relationship
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7
The table shows the number of minutes ridden on a stationary bike and the approximate number of calories burned. Plot the points on the grid provided then choose the most likely co relationCoefficient from the answer choices below.

A)
B)
C)
D)

A)
B)
C)
D)
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8
The data in the table represent the amount of raw material (in tons) put into an injection moldingmachine each day (x), and the amount of scrap plastic (in tons) that is collected from the machineevery fourweeks (y).Also shown below are the outputs from two different statistical technologies(TI-83/84 Calculator and Excel). A scatterplot of the data confirms that there is a linear association.Report the equation for predicting scrap from raw material using words such as scrap, notxandy.State the slope and intercept of the prediction equation. Round all calculations to the nearesthundredth
A) scrap (raw material); slope and the intercept is .
B) scrap (raw material); slope and the intercept is .
C) scrap (raw material); slope and the intercept is .
D) scrap (raw material); slope and the intercept is .
A) scrap (raw material); slope and the intercept is .
B) scrap (raw material); slope and the intercept is .
C) scrap (raw material); slope and the intercept is .
D) scrap (raw material); slope and the intercept is .
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9
Doctors believe that smoking cigarettes inflames the bronchial tubes and so makes it harder to Doctors believe that smoking cigarettes inflames the bronchial tubes and so makes it harder tobreathe. To test this they measured the lung capacity (in liters) and the number of cigarettessmoked in a typical day for a sample of adults. Is the scatterplot below consistent with theresearcher's hypothesis?
A) Yes, it is consistent.
B) There is no evidence in support or contradiction of the hypothesis.
C) No, it contradicts this hypothesis.

A) Yes, it is consistent.
B) There is no evidence in support or contradiction of the hypothesis.
C) No, it contradicts this hypothesis.
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10
Use the following information to answer the question. The following linear regression model can be used to predict ticketsales at a popular water park.
Ticket sales per hour current temperature in )
-In this context, does the intercept have a reasonable interpretation?
A) Not enough information available
B) No, at a temperature of , ticket sales would be and it is not reasonable (or possible) to have negative ticket sales.
C) Yes, it is reasonable for people to go to a water park when it is , so park managers might want to know how many tickets they would sell on average on a day.
Ticket sales per hour current temperature in )
-In this context, does the intercept have a reasonable interpretation?
A) Not enough information available
B) No, at a temperature of , ticket sales would be and it is not reasonable (or possible) to have negative ticket sales.
C) Yes, it is reasonable for people to go to a water park when it is , so park managers might want to know how many tickets they would sell on average on a day.
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11
Use the following information to answer the question. The following linear regression model can be used to predict ticket sales at a popular water park.
-Choose the statement that best states the meaning of the slope in this context.
A) The slope tells us that a one degree increase in temperature is associated with an average increase in ticket sales of 11.25 tickets.
B) The slope tells us that if ticket sales are decreasing there must have been a drop in temperature.
C) The slope tells us that high temperatures are causing more people to buy tickets to the water park.
D) None of these
-Choose the statement that best states the meaning of the slope in this context.
A) The slope tells us that a one degree increase in temperature is associated with an average increase in ticket sales of 11.25 tickets.
B) The slope tells us that if ticket sales are decreasing there must have been a drop in temperature.
C) The slope tells us that high temperatures are causing more people to buy tickets to the water park.
D) None of these
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12
Suppose it has been established that "annual income" and "Years of college" are linearly related, and that the relationship can be modeled using the following equation:
Annual Income (Years of College . In this model, "Annual Income" is the variable, and "Years of College" is the variable, The two variables have a linear relationship.
A) Independent; Dependent; Positive
B) Independent; Dependent; Negative
C) Dependent; Independent; Negative
D) Dependent; Independent; Positive
Annual Income (Years of College . In this model, "Annual Income" is the variable, and "Years of College" is the variable, The two variables have a linear relationship.
A) Independent; Dependent; Positive
B) Independent; Dependent; Negative
C) Dependent; Independent; Negative
D) Dependent; Independent; Positive
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13
Choose the scatterplot that matches the given correlation coefficient.


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14
The following calculator screenshots show the scatterplot and the correlation coefficient between car weight and car length for a sample of 2009 model year cars.
The relationship between "car length" and "car weight" can be described as
A) A weak negative relationship
B) A strong positive linear relationship
C) A moderate positive linear relationship
D) A strong negative linear relationship

A) A weak negative relationship
B) A strong positive linear relationship
C) A moderate positive linear relationship
D) A strong negative linear relationship
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15
It is determined that a positive linear association exists between age (for children between the agesof 3 and 9 years) and attention span (measured in minutes). The scatterplot below shows theassociation. The prediction equation is also given. A college instructor uses the model to predict theattention span of the students in her class who have an average age of 29. Choose the best statementto summarize why this is not an appropriate use for the model.
attention span (age)

A) This is an inappropriate use of the model because the model was used to make predictions beyond the scope of the data. The college instructor is extrapolating.
B) This is an inappropriate use of the model because age does not cause attention span to
Increase. Correlation does not mean causation.
C) This is an inappropriate use of the model because a 29-year-old person would be an outlier
In this context.
attention span (age)

A) This is an inappropriate use of the model because the model was used to make predictions beyond the scope of the data. The college instructor is extrapolating.
B) This is an inappropriate use of the model because age does not cause attention span to
Increase. Correlation does not mean causation.
C) This is an inappropriate use of the model because a 29-year-old person would be an outlier
In this context.
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16
A veterinarian is going to investigate whether homes with more pets tend to have more fleas. In this scenario, the explanatory variable is-------------------- and the response variable is--------------------
A) Number of pets; number of fleas spotted in a period of time
B) Slope; intercept
C) Number of fleas spotted in a period of time; number of pets
D) None of these
A) Number of pets; number of fleas spotted in a period of time
B) Slope; intercept
C) Number of fleas spotted in a period of time; number of pets
D) None of these
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17
What key things should you look for when examining the potential linear association between two variables?
A) A noticeable overall linear shape on the scatterplot.
B) The vertical spread of the points on the scatterplot which indicate the strength of an association.
C) A noticeable positive or negative trend on the scatterplot.
D) All of these.
A) A noticeable overall linear shape on the scatterplot.
B) The vertical spread of the points on the scatterplot which indicate the strength of an association.
C) A noticeable positive or negative trend on the scatterplot.
D) All of these.
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18
Choose the scatterplot that matches the given correlation coefficient.


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19
A horticulturist conducted an experiment on 110 thirty-six inch plant boxes to see if the amount ofplant food given to the plant boxes was associated with the number of tomatoes harvested from theplants. The average amount of plant food given was 27.8 milliliters with a standard deviation of 2.1milliliters. The average number of tomatoes harvested was 7.5 with a standard deviation of 1.5. Thecorrelation coefficient was 0.7691. Use the information to calculate the slope of the linear model thatpredicts the number of tomatoes harvested from the amount of plant food given. Show your workand round to the nearest hundredth.
A) 1.08
B) 0.55
C) -7.50
D) The slope cannot be determined without the actual data.
A) 1.08
B) 0.55
C) -7.50
D) The slope cannot be determined without the actual data.
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20
The scatterplot below shows the number of tackles received and the number of concussions received for a team of football players for the most recent season. Choose the statement that best describes the trend. 
A) There is no association between the number of tackles a team receives and the number of concussions.
B) Teams that receive a greater number of tackles tend to have a higher number of concussions.
C) Teams that receive a greater number of tackles tend to receive a lower number of concussions.

A) There is no association between the number of tackles a team receives and the number of concussions.
B) Teams that receive a greater number of tackles tend to have a higher number of concussions.
C) Teams that receive a greater number of tackles tend to receive a lower number of concussions.
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21
The table shows the number of minutes ridden on a stationary bike and the approximate number of calories burned. Plot the points on the grid provided then choose the most likely correlation coefficient from the answer choices below.

A) -0.30
B) 0.99
C) 0.30
D) -0.99

A) -0.30
B) 0.99
C) 0.30
D) -0.99
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22
Use the following information to answer the question. The following linear regression model can be used to predict ticketsales at a popular water park.
-What is the predicted number of tickets sold per hour if the temperature is 79°F? Round to the nearest whole ticket.
A) About 257 tickets
B) About 310 tickets
C) About 250 tickets
D) About 258 tickets
-What is the predicted number of tickets sold per hour if the temperature is 79°F? Round to the nearest whole ticket.
A) About 257 tickets
B) About 310 tickets
C) About 250 tickets
D) About 258 tickets
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23
Choose the scatterplot that matches the given correlation coefficient.


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24
A horticulturist conducted an experiment on 140 thirty-six inch plant boxes to see if the amount ofplant food given to the plant boxes was associated with the number of habanera peppers harvestedfrom the plants. The average amount of plant food given was 17.8 milliliters with a standarddeviation of 0.7 milliliters. The average number of habanera peppers harvested was 6.5 with astandard deviation of 1.5. The correlation coefficient was 0.8123. Use the information to calculatethe slope of the linear model that predicts the number of habanera peppers harvested from theamount of plant food given. Show your work and round to the nearest hundredth.
A)
B) The slope cannot be determined without the actual data.
C)
D)
A)
B) The slope cannot be determined without the actual data.
C)
D)
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25
The data in the table represent the amount of pressure (psi) exerted by a stamping machine (x), and the amount of scrap brass shavings (in pounds) that are collected from the machine each hour (y).
Also shown below are the outputs from two different statistical technologies (TI-83/84 Calculator and Excel). A scatterplot of the data confirms that there is a linear association. Report the equation for predicting scrap brass shavings using words such as scrap, not x and y. State the slope and
Intercept of the prediction equation. Round all calculations to the nearest thousandth.
T-Test
A) scrap (pressure); slope and the intercept is .
B) scrap (pressure); slope and the intercept is .
C) scrap (pressure); slope and the intercept is .
D) scrap (pressure); slope and the intercept is .
Also shown below are the outputs from two different statistical technologies (TI-83/84 Calculator and Excel). A scatterplot of the data confirms that there is a linear association. Report the equation for predicting scrap brass shavings using words such as scrap, not x and y. State the slope and
Intercept of the prediction equation. Round all calculations to the nearest thousandth.
T-Test
A) scrap (pressure); slope and the intercept is .
B) scrap (pressure); slope and the intercept is .
C) scrap (pressure); slope and the intercept is .
D) scrap (pressure); slope and the intercept is .
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26
Use the data provided in the table below to answer the question. The table shows city size and annual grocery expendituresfor eight families. City size is in thousands and expenditures is in hundreds of dollars.
-State the explanatory variable and the response variable.
-State the explanatory variable and the response variable.
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27
Suppose it has been established that "home value" and "Years of college" are linearly related, and that the relationship can be modeled using the following equation:
Home value (Years of College). In this model, "years of college" is the variable, and "home value" is thehave a variable. The two variables have a
A) Independent; Dependent; Positive
B) Dependent; Independent; Positive
C) Independent; Dependent; Negative
D) Dependent; Independent; Negative
Home value (Years of College). In this model, "years of college" is the variable, and "home value" is thehave a variable. The two variables have a
A) Independent; Dependent; Positive
B) Dependent; Independent; Positive
C) Independent; Dependent; Negative
D) Dependent; Independent; Negative
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28
The following model was created to show the association between the number of massagesreceived per month and self-predicted stress level: Stress level=10-0.02(number of massages permonth). The coefficient of determination for the model is 0.066 or 6.6%. Choose the true statementregarding this model.
A)The model shows that there is a negative association between stress level and number ofmonthly massages, but the relatively small coefficient of determination suggests that verylittle of the variation is explained by the model, so the model is probably not very good atpredicting stress level.
B)The model shows that on average a person getting no massages will always have a stresslevel of 10.
C)The model shows that getting even one massage a month will decrease your stress level.
D)None of these.
A)The model shows that there is a negative association between stress level and number ofmonthly massages, but the relatively small coefficient of determination suggests that verylittle of the variation is explained by the model, so the model is probably not very good atpredicting stress level.
B)The model shows that on average a person getting no massages will always have a stresslevel of 10.
C)The model shows that getting even one massage a month will decrease your stress level.
D)None of these.
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29
Use the following information to answer the question. The following linear regression model can be used to predict ticket
sales at a popular water park. Ticket sales per hour current temperature in )
-In the NBA, the correlation between "steals per game" and "blocked shots per game" is found to be 0.8045. Choose the statement that is true about the coefficient of determination.
A) The coefficient of determination states that about 64.72% of the variation in blocked shots per game is explained by steals per game.
B) The coefficient of determination, r2, is equal to approximately 0.6472.
C) When given as a percent, the coefficient of determination is always between 0 and 100%.
D) All of these are true statements.
sales at a popular water park. Ticket sales per hour current temperature in )
-In the NBA, the correlation between "steals per game" and "blocked shots per game" is found to be 0.8045. Choose the statement that is true about the coefficient of determination.
A) The coefficient of determination states that about 64.72% of the variation in blocked shots per game is explained by steals per game.
B) The coefficient of determination, r2, is equal to approximately 0.6472.
C) When given as a percent, the coefficient of determination is always between 0 and 100%.
D) All of these are true statements.
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30
The scatterplot below shows the hat size and IQ of some adults. Is the trend positive, negative, or near zero? 
A) Positive
B) Near Zero
C) Negative

A) Positive
B) Near Zero
C) Negative
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31
Use the following information to answer the question. The following linear regression model can be used to predict ticketsales at a popular water park.
Ticket sales per hour=-631.25+11.25(current temperature in °F)
-Choose the statement that best states the meaning of the slope in this context.
A)The slope tells us that if ticket sales are decreasing there must have been a drop intemperature.
B)The slope tells us that high temperatures are causing more people to buy tickets to the waterpark.
C)The slope tells us that a one degree increase in temperature is associated with an averageincrease in ticket sales of 11.25 tickets.
D)None of these
Ticket sales per hour=-631.25+11.25(current temperature in °F)
-Choose the statement that best states the meaning of the slope in this context.
A)The slope tells us that if ticket sales are decreasing there must have been a drop intemperature.
B)The slope tells us that high temperatures are causing more people to buy tickets to the waterpark.
C)The slope tells us that a one degree increase in temperature is associated with an averageincrease in ticket sales of 11.25 tickets.
D)None of these
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32
Choose the best statement to summarize the association shown between hat size and IQ in the scatterplot below. 
A) The scatterplot does not show a trend that would indicate an association between hat size and IQ scores.
B) As hat size increases, IQ scores tend to increase.
C) Hat size causes IQ to increase.
D) As hat size increases, IQ scores tend to decrease.

A) The scatterplot does not show a trend that would indicate an association between hat size and IQ scores.
B) As hat size increases, IQ scores tend to increase.
C) Hat size causes IQ to increase.
D) As hat size increases, IQ scores tend to decrease.
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33
The scatterplot below shows the hat size and IQ of some adults. Is the trend positive, negative, or near zero? 
A) Negative
B) Positive
C) Near Zero

A) Negative
B) Positive
C) Near Zero
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34
The scatterplot below shows the number of tackles received and the number of concussionsreceived for a team of football players for the most recent season. Choose the statement that bestdescribes the trend.

A) Teams that receive a greater number of tackles tend to have a higher number of concussions.
B) There is no association between the number of tackles a team receives and the number of concussions.
C) Teams that receive a greater number of tackles tend to receive a lower number of concussions.

A) Teams that receive a greater number of tackles tend to have a higher number of concussions.
B) There is no association between the number of tackles a team receives and the number of concussions.
C) Teams that receive a greater number of tackles tend to receive a lower number of concussions.
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35
Which of the following statements regarding the correlation coefficient is not true?
A) The correlation coefficient has values that range from -1.0 to 1.0 inclusive.
B) A correlation coefficient value of 0.00 indicates that two variables have no linear correlation at all.
C) The correlation coefficient measures the strength of the linear relationship between two numerical variables.
D) All of these are true statements.
A) The correlation coefficient has values that range from -1.0 to 1.0 inclusive.
B) A correlation coefficient value of 0.00 indicates that two variables have no linear correlation at all.
C) The correlation coefficient measures the strength of the linear relationship between two numerical variables.
D) All of these are true statements.
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36
Choose the scatterplot that matches the given correlation coefficient.
-
A)

B)

C)

-
A)

B)

C)

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37
A concert ticket agent is going to investigate whether an increase in money spent on radioadvertisements for a particular venue tends to lead to more concert ticket sales. In this scenario, theresponse variable-------------------- isand the explanatory variable is--------------------
A) Slope; intercept
B) Amount of radio advertisement money spent; concert ticket sales
C) Concert ticket sales; amount of radio advertisement money spent
D) None of these
A) Slope; intercept
B) Amount of radio advertisement money spent; concert ticket sales
C) Concert ticket sales; amount of radio advertisement money spent
D) None of these
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38
Use the data provided in the table below to answer the question. The table shows city size and annual grocery expendituresfor eight families. City size is in thousands and expenditures is in hundreds of dollars.
-Suppose each of these families is given a grocery credit of $100, therefore reducingexpenditures in the table by one unit (since this variable was recorded in hundreds ofdollars). Estimate the new correlation with city size. What happens to the correlation whena constant is added (in this case-100 dollars is added to each number)?
Explain yourreasoning.
-Suppose each of these families is given a grocery credit of $100, therefore reducingexpenditures in the table by one unit (since this variable was recorded in hundreds ofdollars). Estimate the new correlation with city size. What happens to the correlation whena constant is added (in this case-100 dollars is added to each number)?
Explain yourreasoning.
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39
In the NHL, the correlation between "Goals scored per game" and "minutes on the ice" for a team of players is found to be 0.8178. Choose the statement that is true about the coefficient of determination.
A) When given as a percent, the coefficient of determination is always between 0 and 100%.
B) The coefficient of determination states that about 66.88% of the variation in goals scored per game is explained by minutes on the ice.
C) The coefficient of determination, , is equal to approximately 0.6688.
D) All of these are true statements.
A) When given as a percent, the coefficient of determination is always between 0 and 100%.
B) The coefficient of determination states that about 66.88% of the variation in goals scored per game is explained by minutes on the ice.
C) The coefficient of determination, , is equal to approximately 0.6688.
D) All of these are true statements.
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40
Doctors hypothesize that smoking cigarettes inflames the bronchial tubes and so makes it harder tobreathe. To test this they measured the lung capacity (in liters) and the number of cigarettessmoked in a typical day for a sample of adults. Is the scatterplot below consistent with theresearcher's hypothesis?

A) No, it contradicts this hypothesis.
B) There is no evidence in support or contradiction of the hypothesis.
C) Yes, it is consistent.

A) No, it contradicts this hypothesis.
B) There is no evidence in support or contradiction of the hypothesis.
C) Yes, it is consistent.
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41
The following regression equation was found to model commute distance (in miles) andnumber of minor accidents per year for a group of adults.
Minor accidents per year=1.204+0.024(commute distance)
Identify the independent variable and the dependent variable.
Minor accidents per year=1.204+0.024(commute distance)
Identify the independent variable and the dependent variable.
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42
Use the following information to answer the question. A scatterplot of data from a large sample of adult women shows thatheight in inches and weight in pounds have a linear association. Shown below are the outputs from two different statisticaltechnologies (TI-83/84 Calculator and Excel).
-Height and weight charts for women show that a woman who is 71 inches tall has a targetweight between 135 and 176 pounds. Would the regression model you found for the largesample of (in question 15) place a woman who was 71 inches tall within this range?

-Height and weight charts for women show that a woman who is 71 inches tall has a targetweight between 135 and 176 pounds. Would the regression model you found for the largesample of (in question 15) place a woman who was 71 inches tall within this range?
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43
Suppose that environmentalists monitor algae levels in a river and determine that there is alinear association between local rainfall and algae levels. The determine that the best fittinglinear model to predict algae cell counts per milliliter from rainfall in inches is:
Algae cell count=229.32+79.81(Rainfall in inches) withr2=0.604 How will a rainfall that is 3 inches above average affect the algae cell count?
Algae cell count=229.32+79.81(Rainfall in inches) withr2=0.604 How will a rainfall that is 3 inches above average affect the algae cell count?
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44

-Based on the scatterplot, estimate the correlation coefficient between city size andexpenditures for these eight families. Explain your reasons for choosing your estimate.
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45
Use the regression equation to predict how many children a married couple will have ifthey live in city with a population of 40,000 people.
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46
The scatterplot below shows the number of alcoholic drinks consumed and memory testresults for some college students. Is there an association?
If so, describe the pattern. Be sureto comment on trend, shape, and the strength of the association.
If so, describe the pattern. Be sureto comment on trend, shape, and the strength of the association.

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47
A horticulturist conducted an experiment on 120 thirty-six inch flower boxes to see if theamount of plant food given to the flower boxes was associated with the number of bloomson the plants. The average amount of plant food given was 31.6 milliliters with a standarddeviation of 2.2 milliliters. The average number of blooms was 10.5 with a standarddeviation of 1.5. The correlation coefficient was 0.8891. Use the information to calculate theslope of the linear model that predicts the number of blooms from the amount of plantfood given. Show your work and round to the nearest hundredth. Write a sentenceexplaining the meaning of the slope in this context.
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48
Based on the scatterplots below, what is the better predictor for head circumference--height or shoulder width?
Explain how you made your decision.
Explain how you made your decision.

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49
The figures below show the relationship between salary and personal lunch expenses onweek days for a group of business men. Comment on the difference in graphs and in thecoefficient of determination between the graph that includes a data point of someone whoreported earnings of $21,000 per year and weekly personal lunch expenses of $100 perweek (second graph) and the graph that did not include this data point (first graph). 

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50
Suppose that runner height (in inches) and finish time in a 5k (in seconds) have a linearassociation as evidenced by a scatterplot showing a roughly linear pattern, explain thepurpose of finding the equation for the regression line that will relate runner height andfinish time. What are the limitations of the regression line?
Explain the meaning of theslope and intercept of such a model?
Explain the meaning of theslope and intercept of such a model?
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51
The following regression equation was found to model commute distance (in miles) andnumber of minor accidents per year for a group of adults. Minor accidents per year=1.204+0.024(commute distance) What is the intercept?
What is the interpretation of the intercept in this context?
Does itmake sense to interpret the intercept in this context?
What is the interpretation of the intercept in this context?
Does itmake sense to interpret the intercept in this context?
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52
Explain in your own words what extrapolation is and give an example. Why shouldextrapolation be avoided when doing regression analysis?
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53
Suppose that in the Midwest, it is shown that there is trend between home insuranceclaims in dollars and the number of cattle owned by the home owner. The trend shows thathigher claims were paid out to homeowners that owned more cattle. Does this trend provethat owning more cattle causes higher insurance claims?
Be sure to explain your reasoning,don't just answer yes or no. What is a potential hidden variable in this context?
Be sure to explain your reasoning,don't just answer yes or no. What is a potential hidden variable in this context?
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54
Use the data provided in the table below to answer the question. The table shows city size and annual grocery expendituresfor eight families. City size is in thousands and expenditures is in hundreds of dollars.
-State the slope and intercept of the regression line and explain each in context. Be sure toexplain whether the intercept has a practical meaning in this context.
-State the slope and intercept of the regression line and explain each in context. Be sure toexplain whether the intercept has a practical meaning in this context.
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55
Use the following information to answer the question. A scatterplot of data from a large sample of adult women shows that height in inches and weight in pounds have a linear association. Shown below are the outputs from two different statistical technologies (TI-83/84 Calculator and Excel).

-Report the equation for predicting weight in pounds from height in inches using wordssuch as weight, notxandy.

-Report the equation for predicting weight in pounds from height in inches using wordssuch as weight, notxandy.
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56
If the correlation between whole milk content per serving and calories per serving forseveral brands of ice cream is 0.71, report the coefficient of determination (rounded to thenearest tenth of a percent) and explain what it means using a complete sentence. Assumethat whole milk content is the predictor and calories per serving is the response, andassume that the association between whole milk content and calories is linear.
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57

-Using the data from the table, sketch a scatterplot (by hand or with the aid of technology)of the data. Describe any association that you see. Would it be appropriate to fit a linearmodel to this data?
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58
The scatterplot below shows the ice cream sales and daily high temperatures for a threeweek period of time during the summer. Does there appear to be an association betweenthese two variables?
If so, describe the pattern. Be sure to comment on trend, shape, and thestrength of the association.
If so, describe the pattern. Be sure to comment on trend, shape, and thestrength of the association.

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