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A statistics professor found that the relationship between study hours (x, in hours) and exam score...

A statistics professor found that the relationship between study hours (x, in hours) and exam score (y, as percentage) is given by yˆ = 5.2x + 14. What does this indicate? If a student spends an extra hour studying, his/her predicted (average) exam score will increase by 5.2%. The actual exam score for every statistics student who studies for an extra hour will increase by exactly 5.2%. If a student spends an extra hour studying, his/her predicted (average) exam score will increase by 14%.

If a student spends an extra hour studying, his/her predicted (average) exam score will decrease by 5.2%.

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Answer #1

Given estimated regression equation is

Where y- exam score as percentage.

x-study hours.

Here slope is 5.2, which indicates that if a student spends an extra hours studying, his/her predicted(average) exam score will increase by 5.2%.

Since the sign of regression coefficient i.e slope is positive there is positive linear relationship between the two variables.

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