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 $\hat{\text { bounce }} = 0.3 + 0.74$ drop.A golf ball dropped from 61 cm bounced 46.44 cm.What is the residual for this bounce height?
A)-1 cm
B)0.74 cm
C)46.14 cm
D)1 cm
E)2 cm

Question

Quizplus · Accepted Answer

The predicted bounce height for a 61 cm drop is $0.3 + 0.74 \times 61 = 45.44$ cm. The residual is the actual bounce height minus the predicted bounce height: $46.44 - 45.44 = 1$ cm.

A Golf Ball Is Dropped from 15 Different Heights (In bounce ^=0.3+0.74\hat{\text { bounce }} = 0.3 + 0.74 bounce ^=0.3+0.74

A Golf Ball Is Dropped from 15 Different Heights (In $\hat{\text { bounce }} = 0.3 + 0.74$