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2. data are collected on the relationship between the number of hours p…

Question

  1. data are collected on the relationship between the number of hours per week practicing a musical instrument ($x$) and scores on a math test ($y$). the line of best fit can be modeled with the equation $y = 72.5+2.8x$. 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? a. 88.2 b. 79.9 c. 86.5 d. 81.2

Explanation:

Step1: Identify the value of x

The student practices 5 hours a week, so $x = 5$.

Step2: Substitute x into the equation

Substitute $x = 5$ into $y=72.5 + 2.8x$. We get $y=72.5+2.8\times5$.

Step3: Calculate the value of y

First, calculate $2.8\times5 = 14$. Then $y=72.5 + 14=86.5$.

Answer:

C. 86.5