Question

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?

Short answer

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

Step-by-step solution

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.

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

Solution

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

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

$=72.5+14$

$=86.5$