Homework Answers
a) The estimated regression equation when x1<20:
y = 25.7 + 5.5x1 + 7.8x2
x2 = 1 if x1<20
Hence, y = 25.7 + 5.5x1 + 7.8*1
Y = 33.5 + 5.5 x1
B) When x1 = 15, we can use the above equation to find out the value of y:
Y = 33.5 + 5.5*15
Y = 33.5 + 82.5
Y = 116
C) The estimated regression equation when x1>20:
y = 25.7 + 5.5x1 + 7.8x2
x2 = 0 if x1>20
Hence, y = 25.7 + 5.5x1 + 7.8*0
Y = 25.7 + 5.5 x1
D) When x1 = 30, we can use the above equation in part c) to find y:
Y = 25.7 + 5.5*30
Y = 25.7 + 165
Y = 190.7
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