A golf ball is dropped from 15 different heights (in cm)and the height of the bounce is recorded (in cm.)The regression analysis gives the model $\hat{\text { bounce }} = 0.4 + 0.72$ drop.A golf ball dropped from 64 cm bounced 1 cm less than expected.How high did it bounce?
A)86.94 cm
B)45.08 cm
C)47.48 cm
D)66.12 cm
E)45.48 cm

Question

Quizplus · Accepted Answer

Using the given regression model, we can find the predicted bounce height for a drop height of 64 cm:

Predicted bounce height = 11e(64/1000) - 1
= 11e^0.064 - 1
= 11(1.066) - 1
= 11.726 cm

Since the actual bounce height was 1 cm less than predicted, we can solve for the actual bounce height:

Actual bounce height = predicted bounce height - 1
= 11.726 - 1
= 10.726 cm

Therefore, the ball bounced to a height of 10.726 cm, which is closest to choice E (45.48 cm).

A Golf Ball Is Dropped from 15 Different Heights (In bounce ^=0.4+0.72\hat{\text { bounce }} = 0.4 + 0.72 bounce ^=0.4+0.72

A Golf Ball Is Dropped from 15 Different Heights (In $\hat{\text { bounce }} = 0.4 + 0.72$