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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