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 + 0.71 drop.Interpret the meaning of the y-intercept.

A) According to the model,a ball dropped from 0.71 cm high will bounce 0 cm.(This may not actually happen.)
B) According to the model,a ball dropped from 0.3 cm high will bounce 0 cm.(This may not actually happen.)
C) According to the model,a ball dropped from 0 cm high will bounce 0.71 cm.(This may not actually happen.)
D) According to the model,a ball dropped from 0.71 cm high will bounce 0.3 cm.(This may not actually happen.)
E) According to the model,a ball dropped from 0 cm high will bounce 0.3 cm.(This may not actually happen.)

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

^\hat{\text { bounce }}

= 0.3 + 0.71 drop.Interpret the meaning of the y-intercept.

A) According to the model,a ball dropped from 0.71 cm high will bounce 0 cm.(This may not actually happen.)
B) According to the model,a ball dropped from 0.3 cm high will bounce 0 cm.(This may not actually happen.)
C) According to the model,a ball dropped from 0 cm high will bounce 0.71 cm.(This may not actually happen.)
D) According to the model,a ball dropped from 0.71 cm high will bounce 0.3 cm.(This may not actually happen.)
E) According to the model,a ball dropped from 0 cm high will bounce 0.3 cm.(This may not actually happen.)

Aliyah White · Accepted Answer

Final Answer : E, Explanation :  The y-intercept in a regression equation represents the expected value of the dependent variable (in this case, the bounce height) when the independent variable (in this case, the drop height) is 0. Thus, if a ball is dropped from 0 cm high, the model predicts it will bounce 0.3 cm.

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