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 +.9x where y is the final exam score and x is the score on the first test. Carla scored 95 on the first test. On the final exam, Carla scored 98. What is the value of her residual?

Question

Mathematics

Guest

27 January, 16:08

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 +.9x where y is the final exam score and x is the score on the first test. Carla scored 95 on the first test. On the final exam, Carla scored 98. What is the value of her residual?

+5

Answers (1)

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Adrienne Lara · Answer 1

2.5

Step-by-step explanation:

The predicted regression equation is

y^=10+0.9x

where y = final exam score and x=first test score.

Also, we are given that Carla's final exam score y is 98 and Carla's first test score x is 95. We have to find residual for Carla.

Residual=Observed - predicted=y-y^

y^=10+0.9x

We know that Carla's first test score=x=95.

So,

y^=10+0.9 (95)

y^=10+85.5

y^=95.5

Residual for Carla=y-y^=?

We know that Carla's final exam score=y=98.

So,

Residual for Carla=98-95.5=2.5