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 $^=−0.1+0.70\hat{\text { bounce }} = - 0.1 + 0.70$ drop.Predict the height of the bounce if dropped from 64 cm.

A) 44.9 cm
B) 91.57 cm
C) 44.7 cm
D) 64.6 cm
E) 44.8 cm

Question

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

^=−0.1+0.70\hat{\text { bounce }} = - 0.1 + 0.70

drop.Predict the height of the bounce if dropped from 64 cm.

A) 44.9 cm
B) 91.57 cm
C) 44.7 cm
D) 64.6 cm
E) 44.8 cm

Anaid Borrego · Accepted Answer

Final Answer : C, Explanation :   The regression equation is   bounce ^ = − 0.1 + 0.70 × drop \hat{	ext{bounce}} = -0.1 + 0.70 	imes 	ext{drop} bounce ^ = − 0.1 + 0.70 × drop  . Substituting the drop height of 64 cm, we get   bounce ^ = − 0.1 + 0.70 × 64 = − 0.1 + 44.8 = 44.7 \hat{	ext{bounce}} = -0.1 + 0.70 	imes 64 = -0.1 + 44.8 = 44.7 bounce ^ = − 0.1 + 0.70 × 64 = − 0.1 + 44.8 = 44.7   cm.

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