Question

Consider the following data for a dependent variable y and two independent variables, 31 and 22. 94 175 171 118 143 211 Round your all answers to two decimal places. Enter negative values as negative numbers, if necessary. a. Develop an estimated regression equation relating y to 21. y = Predict y if x1 = 45. b. Develop an estimated regression equation relating y to 22. ŷ= + 12 Predict y if x2 = 15. = c. Develop an estimated regression equation relating y to 21 and 22. ŷ = Predict y if x1 = 45 and X2 = 15. ŷ =

Answer 1

a.)

y= 46.73 + 1.92 X1

Predict Y if X1= 45;

y= 46.73 + 1.92*45 = 133.13

b.)

y= 87.75 + 4.04 X2

Predict Y if X1= 15;

y= 87.75 + 4.04*15 = 148.35

c.)

y= -20.41 + 2.02 X1 + 4.76 X2

Predict Y if X1= 45 and X2= 15

-20..41 + 2.02* 45 + 4.76 * 15 = -20.41 + 90.9 + 71.4 = 141.89