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

Predicted final score of Josh
`= 62.5`

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`