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Q. 12

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The Practice of Statistics for AP
Found in: Page 761
The Practice of Statistics for AP

The Practice of Statistics for AP

Book edition 4th
Author(s) David Moore,Daren Starnes,Dan Yates
Pages 809 pages
ISBN 9781319113339

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Short Answer

Ideal proportions Refer to Exercise 10.

(a) What height would you predict for a student with an arm span of 76 inches? Show your work.

(b) About how far off do you expect the prediction in part (a) to be from the student's actual height? Justify your answer.

a) 75.41892 inches.

b) 1.613

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Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Part(a) Step 1: Given Information

Need to find What height would you predict for a student with an arm span of 76 inches.

Part(a) Step 2: Explanation

The estimates a and b are given in the column of "Coef":

y^=11.547+0.84042x

Replace x by 5 and evaluate:

y=11.547+0.84042(76) =75.41892

This means that we predict that the student will be 75.41892 inches tall.

Part(a) Step 1: Given Information

Given:

s=1.613

Part(b) Step 2: Explanation

Given:

s=1.613

The expected error made when making predictions is given by σ, which is estimated by s. Thus we expect that the prediction will be off by 1.613 on average.

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