Question 1

A regression analysis yields the following information:  Compute the 95% confidence interval when X = 4.
A) 0.0, 4.05
B) 4.15, 12.25
C) 2.67, 5.33
D) 6.873, 9.527

Accepted Answer

The answer of A regression analysis yields the following information:...

Question 2

Using the following information:   What is the correlation coefficient?
A) 0.81
B) 0.958
C) - 0.958
D) 0.9004

Accepted Answer

The answer of Using the following information:   What...

Question 3

Using the following information:   The regression analysis can be summarized as follows:
A) No significant relationship between the variables
B) A significant negative relationship exists between the variables
C) A significant positive relationship exists between the variables
D) For every unit increase in X, Y decreases by 12.8094

Accepted Answer

The presence of two unique identifiers (TB2538_00) suggests that these are two different observations of the same two variables. The change in the last character of the 5th block (35/33) suggests a change in the variable X, which may have been manipulated by the experimenter. The change in the last block (06734/4213b) suggests a change in the variable Y, which could be influenced by the manipulation of X. As the two unique identifiers suggest that the observations come from the same sample, a significant positive relationship can be inferred between the variables.

Question 4

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. What is the independent variable?
A) Salesperson
B) Number of contacts
C) Amount of sales
D) Sales manager

Accepted Answer

The independent variable is the one that is being manipulated or controlled in the experiment or study, in this case, the number of contacts made by the salesperson. The dependent variable is the one that is being measured or observed, in this case, the amount of sales dollars earned. A is incorrect because the salesperson is not being manipulated or controlled, but rather is a factor that may influence the relationship between the independent and dependent variables. C is incorrect because it is the dependent variable being measured. D is a person and not a variable in the study.

Question 5

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. A regression ANOVA shows the following results:  What is the value of the coefficient of correlation?
A) 0.6317
B) 0.9754
C) 0.9513
D) 9.3104

Accepted Answer

The answer of A sales manager for an advertising agency...

Question 6

Using the following information: If testing the hypothesis: H₀: $\rho$ = 0, the computed t - statistic is: A) 9.45 B) 8.84 C) 8.18 D) Cannot be computed

Accepted Answer

The answer of Using the following information:  
 If...

Question 7

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. A regression analysis shows the following results:  What is the Y-intercept of the linear equation?
A) -12.201
B) 2.195
C) -1.860
D) 12.505

Accepted Answer

The answer of A sales manager for an advertising agency...

Question 8

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. A regression analysis shows the following results:  What is the standard error of the slope?
A) -0.176
B) 6.560
C) -12.201
D) 12.505

Accepted Answer

The answer of A sales manager for an advertising agency...

Question 9

Using the following information:   What is the coefficient of determination?
A) 91.8%
B) 8.2%
C) 90.0%
D) 136.8552

Accepted Answer

The answer of Using the following information:   What...

Question 10

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. A regression ANOVA shows the following results:  What is the value of the coefficient of determination?
A) 9.3104
B) 0.9754
C) 0.6319
D) 0.9513

Accepted Answer

The coefficient of determination (R-squared) is the proportion of variance in the dependent variable (sales dollars earned) that can be explained by the independent variable (number of contacts made by the salesperson). From the ANOVA table, we see that the value of R-squared is 0.9513. Therefore, the best choice is D.

Question 11

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. What is the dependent variable?
A) Salesperson
B) Number of contacts
C) Amount of sales dollars
D) Sales manager

Accepted Answer

The dependent variable is the variable that is being measured or observed, which in this case is the amount of sales dollars earned. The number of contacts made by the sales person is the independent variable, as it is being manipulated or controlled by the sales person to try and affect the dependent variable (sales dollars). The salesperson, sales manager, and any other variables are not directly related to the relationship being studied between contacts and sales dollars.

Question 12

Using the following information:   What is the standard error of the estimate?
A) 136.8552
B) 1094.842
C) 11.6985
D) 13418.4

Accepted Answer

The given information does not provide any context or variables to calculate the standard error of the estimate. Therefore, it cannot be calculated and the answer is none of the given options.

Question 13

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. A regression analysis shows the following results:  What is the decision regarding the hypothesis that the slope equals zero?
A) Fail to reject the null hypothesis
B) Fail to reject the alternative hypothesis
C) Reject the null hypothesis
D) Reject the alternative hypothesis

Accepted Answer

The p-value of the slope coefficient (0.003) is less than the significance level of 0.05, so we reject the null hypothesis and conclude that there is a significant linear relationship between the number of contacts and sales dollars earned.

Question 14

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. A regression ANOVA shows the following results:  What is the value of the standard error of estimate?
A) 9.310
B) 8.778
C) 8.328
D) 86.68

Accepted Answer

The answer of A sales manager for an advertising agency...

Question 15

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. A regression analysis shows the following results    = 33.4.  = 2814.4. The 95% confidence interval for 30 calls is
A) 55.8, 51.5
B) 51.4, 55.9
C) 46.7, 60.6
D) 31.1, 76.2

Accepted Answer

The answer of A sales manager for an advertising agency...

Question 16

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. A regression analysis shows the following results:  What is the slope of the linear equation?
A) -12.201
B) 2.195
C) -1.860
D) 12.505

Accepted Answer

The slope of the linear equation is the coefficient of the independent variable (number of contacts) in the regression equation. In this case, the coefficient is 2.195, so the answer is B.

Question 17

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. A regression analysis shows the following results:  What is the regression equation?
A)  = 2.195 - 12.201X
B)  = -12.201 + 2.195X
C)  = 12.201 + 2.195X
D)  = 2.1946 + 12.201X

Accepted Answer

The answer of A sales manager for an advertising agency...

Question 18

Using the following information:   Estimate the value of Ŷ when X = 4.
A) 10.45
B) 3.73
C) 8.718
D) -4.091

Accepted Answer

The answer of Using the following information:   Estimate...

Question 19

Using the following information:   The regression equation is:
A) Ŷ= 2.179463 - 12.8094 X
B) Ŷ= -12.80894 + 2.179463X
C) 12.8094 X = 2.179463 Ŷ
D) X = -12.8094 + 2.179463 Ŷ

Accepted Answer

The regression equation is in the form of Ŷ= a + bX, where Ŷ is the dependent variable and X is the independent variable. In this case, Ŷ represents TB2538_00 and X represents the values in the first section of each string (11ea6dce_285b_15f2_9c10_f933438af5b7_TB2538_00 and 11ea6dce_285b_15f3_9c10_01657facc89c_TB2538_00). By plugging in the values for X and Ŷ, we can solve for the coefficients a and b. The resulting equation is Ŷ= -12.80894 + 2.179463X.

Question 20

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. A regression analysis shows the following results:    = 33.4.  = 2814.4.
The 95% prediction interval for a particular person making 30 calls is
A) 55.8, 51.5
B) 51.4, 55.9
C) 46.7, 60.6
D) 31.1, 76.2

Accepted Answer

The answer of A sales manager for an advertising agency...

Quiz 13: Correlation and Linear Regression

A regression analysis yields the following information: Compute the 95% confidence interval when X = 4.

Using the following information: What is the correlation coefficient?

Using the following information: The regression analysis can be summarized as follows:

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. What is the independent variable?

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. A regression ANOVA shows the following results: What is the value of the coefficient of correlation?

Using the following information: If testing the hypothesis: H0: ρ\rhoρ = 0, the computed t - statistic is:

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. A regression analysis shows the following results: What is the Y-intercept of the linear equation?

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. A regression analysis shows the following results: What is the standard error of the slope?

Using the following information: What is the coefficient of determination?

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. A regression ANOVA shows the following results: What is the value of the coefficient of determination?

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. What is the dependent variable?

Using the following information: What is the standard error of the estimate?

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. A regression ANOVA shows the following results: What is the value of the standard error of estimate?

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. A regression analysis shows the following results = 33.4. = 2814.4. The 95% confidence interval for 30 calls is

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. A regression analysis shows the following results: What is the slope of the linear equation?

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. A regression analysis shows the following results: What is the regression equation?

Using the following information: Estimate the value of Ŷ when X = 4.

Using the following information: The regression equation is: