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Q.12.11

Expert-verified
Found in: Page 697

### Introductory Statistics

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: $ŷ=72.5+2.8x$ 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 $86.5$.

See the step by step solution

## 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.

$\stackrel{^}{y}=72.5+2.8x$

## Step 2: Solution

The linear equation given in the question is

$\stackrel{^}{y}=72.5+2.8x$

So,

$x=5$

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

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

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

$=72.5+14$

$=86.5$

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