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Q. 12

Expert-verifiedFound in: Page 761

Book edition
4th

Author(s)
David Moore,Daren Starnes,Dan Yates

Pages
809 pages

ISBN
9781319113339

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) $1.613$

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

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

$\hat{y}=11.547+0.84042x$

Replace x by 5 and evaluate:

$y=11.547+0.84042\left(76\right)\phantom{\rule{0ex}{0ex}}=75.41892$

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

Given:

$s=1.613$

Given:

$s=1.613$

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

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