Top 50+ Solved Corelation and Regression MCQ Questions Answer
Q. If the correlation coefficient is a positive value, then the slope of the regression line ___________
a. must also be positive
b. can be either negative or positive
c. can be zero
d. can not be zero
Q. If the coefficient of determination is 0.81, the correlation coefficient __________
a. is 0.6561
b. could be either + 0.9 or - 0.9
c. must be positive
d. must be negative
Q. A fitted least squares regression line ____________
a. may be used to predict a value of y if the corresponding x value is given
b. is evidence for a cause-effect relationship between x and y
c. can only be computed if a strong linear relationship exists between x and y
d. None of these alternatives is correct.
Q. Regression analysis was applied between $ sales (y) and $ advertising (x) across all the branches of a major international corporation. The following regression function was obtained) ! = 5000 + 7.25x If the advertising budgets of two branches of the corporation differ by $30,000, then what will be the predicted difference in their sales? __________
a. $217,500
b. $222,500
c. $5000
d. $7.25
Q. Suppose the correlation coefficient between height (as measured in feet) versus weight (as measured in pounds) is 0.40. What is the correlation coefficient of height measured in inches versus weight measured in ounces? [12 inches = one foot; 16 ounces = one pound] _______
a. 0.40
b. 0.30
c. 0.533
d. cannot be determined from information given e. none of these
Q. Assume the same variables as in question 28 above; height is measured in feet and weight is measured in pounds. Now, suppose that the units of both variables are converted to metric (meters and kilograms). The impact on the slope is__________
a. the sign of the slope will change
b. the magnitude of the slope will change
c. both a and b are correct
d. neither a nor b are correct
Q. In a regression analysis if SSE = 200 and SSR = 300, then the coefficient of determination is ___________
a. 0.6667
b. 0.6000
c. 0.4000
d. 1.5000