Question

In a teacher's math course, a linear regression line was calculated to predict

Answer 1

The given equation is the best line that approximates the linear

relationship between the midterm score and the score in the final exam.

• AJ's residual is 0.3, which is not among the given options, therefore, the correct option is. E. None of these.

Reasons:

The given linear regression line equation is; $\hat y$ = 25.5 + 0.82·$\mathbf{\hat x}$

Where;

$\hat y$ = Final exam score;

$\hat x$ = The midterm score;

AJ score in the first test, $\hat x$ = 90

AJ's actual score in the exam = 99

Required:

The value of AJ's residual

Solution:

By using the regression line equation, we have;

The predicted exam score, $\hat y$ = 25.5 + 0.82 × 90 = 99.3

• The residual score = Predicted score - Actual score

∴ AJ's residual = 99.3 - 99 = 0.3

AJ's residual = 0.3

Therefore, the correct option is option E;

• E. None of these

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