# Regression Analysis Residuals Represent

**1. In regression analysis, the residuals represent the: **

A. *difference between the actual y values and their predicted values *

B. difference between the actual x values and their predicted values

C. square root of the coefficient of determination

D. change in y per unit change in x

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**Answer:** *difference between the actual y values and their predicted values *

**2.In the simple linear regression model, the slope represents the: **

A. value of x when y = 0

B. *change in y per unit change in x *

C. change in x per unit change in y

D. value of y when x = 0

**Answer:** *change in y per unit change in x *

**3.The coefficient of determination R2 measures the amount of: **

A. variation in y that is unexplained by variation in x

B. variation in x that is unexplained by variation in y

C. *variation in y that is explained by variation in x *

D. variation in x that is explained by variation in y

**Answer:***variation in y that is explained by variation in x *

**4.If we are interested in determining whether two variables are linearly related, it is necessary to: **

A. perform the t-test of the coefficient of correlation ?

B. perform the t-test of the slope ?1

C.* either A or B since they are identical *

D. calculate the regression standard error s

**Answer:** * either A or B since they are identical *

**5.Which of the following statistics and procedures can be used to determine whether a linear model should be employed? **

A. The standard error of estimate

B. The t-test of the slope

C.The coefficient of determination

D. *All of the above answers are correct*

**Answer:** *All of the above answers are correct*

**6.The regression standard error s is given by: **

A. SSE/(n-2) *B. √SSE/(n-2) *C. (√SSE/(n-2)) (whole thing is under √)

D. SSE/√n-2

**Answer:** *B. √SSE/(n-2) *

**7.The symbol for the sample coefficient of correlation is: **

A. *r*

B. ?

C. ?2

D. r2

**Answer:** *r*

**8. Given the least squares regression line y=?2.48+1.63x, and a coefficient of determination of 0.81, the coefficient of correlation is: **

A. -0.85

B.

*0.90*

C. 0.85

D. -0.90

**Answer:** *0.90 *

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