1.) A multiple regression line was calculated in which x1 was a student's grade point average and x2 was a student's age. The multiple regression line was calculated as y' = -18.7 + 46.3 x1 + 7.28 x2. If a student has a grade point average of 5.9 and is 20 years old, what is the predicted value of ?
2.) What is the value of y' when x = 3, if the equation of the regression line is y' = 23.1 - 3.8x ?
A. 4.73
B. 5.29
C. 34.5
D. 11.7
3.) Compute the standard error of the estimate for the data below. X values 56 68 78 85 98 Y values 87 110 138 161 186
4.) Test the significance of the correlation coefficient r at a = 0.05 for the data below.
X values 55 61 70 78 88
Y values 89 95 105 110 115
A. Accept p = 0 because 9.64 < 3.18
B. Reject p = 0 because 9.96 > 3.18
C. Accept p = 0 because 9.96 < 2.78
D. Reject p = 0 because 9.64 > 2.78
5.) In a multiple regression model y' = -11 + 4x1 + 11x2 + 7x3 + 3x4, if the value of x2 increases by 2 and the value of x3 decreases by 5, then the predicted value for y will
A. decrease by 57
B. increase by 57
C. decrease by 13
D. increase by 13
6.) Compute the standard error of the estimate for the data below.
X values 56 68 78 85 98
Y values 87 110 138 161 186