Question

The regression equation below relates the scores students in an advanced statistics course received for homework completed and the subsequent midterm exam. Homework scores are based on assignments that preceded the exam. The maximum homework score a student could obtain was 500 and the maximum midterm score was 350. The regression line that was obtained is given by

y=-84.4 + .91x


If a student had a homework score of 420, the midterm score would be predicted to be (rounded to an integer):

298.

336.

None of the answer choices is correct.

378.

Answer 1

y=298

Explanation:

Given that the regression equation below relates the scores students in an advanced statistics course received for homework completed and the subsequent midterm exam.

Maximum home work score was 500 and minimum was 350.

The regression equation was given by

`y=-84.4+0.91x`

If x=420, let us find y

`y=-84.4+0.91(420)\\y=297.8\\y=298`

Answer 2

The regression equation below relates the scores students in an advanced statistics course received for homework completed and the subsequent midterm exam. Homework scores are based on assignments that preceded the exam. The maximum homework score a student could obtain was 500 and the maximum midterm score was 350. The regression line that was obtained is given by

y=-84.4 + .91x

if the homework score is 420, substitute it to the x of the equation and solve for y to get the midterm score

y= 298