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 was y=10+0.9x where 'y' is the final exam score and 'x' is the score on the first exam. Eve scored 95 on the first test. On the final exam, Eve scored 98. What is the value of her residual?

a. - 2.5

b. 0

c. 2.5

d. 98

e. none of the above

Question

Lia Hammond

Mathematics

9 April, 02:00

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 was y=10+0.9x where 'y' is the final exam score and 'x' is the score on the first exam. Eve scored 95 on the first test. On the final exam, Eve scored 98. What is the value of her residual?

a. - 2.5

b. 0

c. 2.5

d. 98

e. none of the above

+3

Answers (1)

Know the Answer?

Jacoby Gill · Answer 1

We have:

First exam score = 95

Substitute this value into the regression equation to find the final exam score

y = 10 + 0.9 (95)

y = 95.5

It turns out, Eva's final score is 98, so the residual value is 98 - 95.5 = 2.5

Answer: C