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Chapter 12: Q. 53 (page 818)

Students in Mr. Handford鈥檚 class dropped a kickball beneath a motion detector. The detector recorded the height of the ball (in feet) as it bounced up and down several times. Here is a computer output from a linear regression analysis of the transformed data of log(height) versus bounce number. Predict the highest point the ball reaches on its seventh bounce.

a. 0.35feet

b. 2.26feet

c. 0.37feet

d. 2.32feet

e. 0.43feet

Short Answer

Expert verified

The correct option is (e).

Step by step solution

01

Given information

The given data is

02

Explanation

The general equation is y^=b0+b1x

The computation of the constant b0is noted in the computer output's row "Constant" and column "Coef":

b0=0.45374

The computation of the slope b1is mentioned in the computer output's row "Bounce" and column "Coef":

b1=-0.117160

Substitute the values in the equation

role="math" localid="1654189474140" =0.45374-0.117160x

logy=0.45374-0.117160x

Put the value of x

logy=0.45374-0.117160(7)

=-0.36638

Then take the exponential

y^=10logyy^=10-0.36638y^=0.43

The option is (e).

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