Book edition OER 2018

Author(s) Barbara Illowsky, Susan Dean

Pages 902 pages

ISBN 9781938168208

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Short Answer

Data are collected on the relationship between the number of hours per week practicing a musical instrument and scores on a math test. The line of best fit is as follows: $ŷ = 72.5 + 2.8 x$ What would you predict the score on a math test would be for a student who practices a musical instrument for five hours a week?

The score on a math test would be for a student who practices a musical instrument for five hours a week is $86.5$ .

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TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given information

Given in the question that

The data is the relationship between the number of hours per week practicing a musical instrument and scores on a math test.

$\hat{y} = 72.5 + 2.8 x$

Step 2: Solution

The linear equation given in the question is

$\hat{y} = 72.5 + 2.8 x$

So,

$x = 5$

Place the value of the $x$ in the equation to get the value of predict,

role="math" localid="1648710328622" $\hat{y} = 72.5 + 2.8 x$

$= 72.5 + 2.8 (5)$

$= 72.5 + 14$

$= 86.5$

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