Question

In a statistics course, a linear regression equation was computed to predict the final-exam score from the score on the first test. The equation as ˆ y = 10 + 0.75 x where y is the final-exam score and x is the score on the first test. Josh scored 70 on the first test. What is the predicted value of the Josh's score on the final exam?

Answer 1

Answer:

Predicted final score of Josh $= 62.5$

Step-by-step explanation:

The linear regression relationship has been established between the final-exam score and  the score on the first test

The relation ship is represented by a linear equation -

$y = 10 + 0.75 x$

Where

$x=$ score on the first test

$Y=$ final-exam score

Substituting the value of $x$ in above equation we will get -

$Y = 10 + 0.75 * 70\\Y = 10 + 52.5\\Y = 62.5$

Predicted final score of Josh $= 62.5$