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Q.12.11

Expert-verifiedFound in: Page 697

Book edition
OER 2018

Author(s)
Barbara Illowsky, Susan Dean

Pages
902 pages

ISBN
9781938168208

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: $\u0177=72.5+2.8x$ 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 $86.5$.

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.

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

The linear equation given in the question is

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

So,

$x=5$

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

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

$=72.5+2.8\left(5\right)$

$=72.5+14$

$=86.5$

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