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polet [3.4K]
2 years ago
14

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

Mathematics
1 answer:
Marat540 [252]2 years ago
6 0

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. <u>E. None of these</u>.

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;

  • <u>E. None of these</u>

Learn more about regression line equation here:

brainly.com/question/9339658

brainly.com/question/7361586

brainly.com/question/14747095

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