In regression analysis, the residuals represent the – Assignment Help

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

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

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

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 ρ 
B. perform the t-test of the slope β1 
C. either A or B since they are identical 
D. calculate the regression standard error s

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

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

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

B. ρ 
C. ρ2 
D. r2

8. Given the least squares regression line yˆ=−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

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