The regression equation below relates the scores students in an advanced statistics course received for homework completed and for 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=âˆ'84.4+0.91x. If a student had a homework score of 420, the midterm score would be predicted to be (rounded to an integer) : a. 298b. 378c. 336d. None of the answer choices is correct

Question

Kamila Peters

Mathematics

30 October, 19:57

The regression equation below relates the scores students in an advanced statistics course received for homework completed and for 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=âˆ'84.4+0.91x. If a student had a homework score of 420, the midterm score would be predicted to be (rounded to an integer) : a. 298b. 378c. 336d. None of the answer choices is correct

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Clara Yu · Answer 1

Answer: d.) None of the answer choices is correct

Step-by-step explanation:

The homework score is an independent variable (known) and on the x-axis, while the midterm exam is the dependent variable, so it's on the y-axis

y = 0.91x - 94.4; and x=420

Substitute x as 420 into the equation.

y = 382.2 - 94.4 = 287.8, or approximately 288.

And this value isn't in the options above.