For 50 randomly selected students enrolled in both a developmental math course and a developmental English​ course, ratings by each student of their math​ instructor's teaching skills​ (x) are recorded along with the ratings of their English​ instructor's teaching skills​ (y); the ratings range from 1 to 10. The 50 paired ratings yield x=6.3​, y=6.0​, r=−0.155​, P-value=0.284​, and y=7.08−0.177x. Find the best predicted value of y (rating of the English​ instructor's teaching​ skills) for a student whose rating of their math​ instructor's teaching skills is x=4. Use a 0.1 significance level.

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For 50 randomly selected students enrolled in both a developmental math course and a developmental English​ course, ratings by each student of their math​ instructor's teaching skills​ (x) are recorded along with the ratings of their English​ instructor's teaching skills​ (y); the ratings range from 1 to 10. The 50 paired ratings yield x=6.3​, y=6.0​, r=−0.155​, P-value=0.284​,
and y=7.08−0.177x. Find the best predicted value of y (rating of the English​ instructor's teaching​ skills) for a student whose rating of their math​ instructor's teaching skills is
x=4. Use a 0.1 significance level.
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