The IQ scores and science test scores of fourth grade students is given by the regression line ŷ = −20.3 + 0.7489s, where ŷ is the predicted science score and s is the IQ score. An actual science test score for a student is 52.6 with an IQ of 100.

Find and interpret the residual.

−1.99; The regression line under predicts the student's science test score.
1.99; The regression line over predicts the student's science test score.
1.99; The regression line under predicts the student's science test score.
−1.99; The regression line over predicts the student's science test score.

Question

05-12-2022
Mathematics

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The IQ scores and science test scores of fourth grade students is given by the regression line ŷ = −20.3 + 0.7489s, where ŷ is the predicted science score and s is the IQ score. An actual science test score for a student is 52.6 with an IQ of 100.

Find and interpret the residual.

−1.99; The regression line under predicts the student's science test score.
1.99; The regression line over predicts the student's science test score.
1.99; The regression line under predicts the student's science test score.
−1.99; The regression line over predicts the student's science test score.

Sagot :

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