Question

a professor gives a science exam every semester.
she conducted a simple linear regression analysis to determine the relationship between
hours of study (x) and exam scores (y).
the regression equation for the course exam was y = 20 + 14x.
if a student studied for four hours, what score would you predict for the student would earn
on the exam?
76
80
84
88

Explanation:

Step1: Substitute the value of \(x\)

Given the regression equation \(y = 20+14x\) and \(x = 4\) (hours of study). Substitute \(x = 4\) into the equation.

$$y=20 + 14\times4$$

Step2: Calculate the value of \(y\)

First, calculate \(14\times4=56\). Then, \(y=20 + 56\).

$$y=76$$

Answer:

76