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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.

Verified Answer :

MissPhiladelphia

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

Answer:

y=298

Step-by-step 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

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

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