Question

For this example, if a student practiced a musical instrument for an additional 5 hours, what would be a reasonable improvement in their math test score

Answer 1

Using the linear regression model û = 72.5 + 2.8x, a student who practices a musical instrument for an additional 5 hours a week is predicted to score 86.5 on their math test.

Step-by-step explanation:

The question asks for a prediction of a student's math test score if they practice a musical instrument for an additional 5 hours, based on a given linear regression model. The linear model provided is û = 72.5 + 2.8x, where û represents the predicted score on a math test and x represents the number of hours per week practicing a musical instrument. To find the predicted math test score for a student who practices for five additional hours, we substitute x with 5 into the equation:

û = 72.5 + 2.8(5)

û = 72.5 + 14

û = 86.5

Therefore, based on the linear regression model, a student who practices a musical instrument for an additional 5 hours a week is predicted to score 86.5 on their math test.