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A group of high school seniors took a scholastic aptitude test. The resulting math scores had...

A group of high school seniors took a scholastic aptitude test. The resulting math scores had a mean 517.7 with a standard deviation of 173.2​, verbal scores had a mean 499.8 with a standard deviation of 130.8​, and the correlation between verbal and math scores was r=0.574. Answer the questions below.

​a)

What is the​ correlation?

The correlation is _ ?

​(Round to three decimal places as​ needed.)

​b)

Write the equation of the line of regression predicting verbal scores from math scores.

y =_ + _ x

​(Round to three decimal places as ​needed.)

​d)

A person tells you her math score was 363. Predict her verbal score.

The student is expected to have a verbal score of _ .

​(Round to three decimal places as​ needed.)

​e)

Using the predicted verbal score from part​ (d) and the regression equation math=137.852+0.76(verbal)​,
predict the​ student's math score.

The predicted math score is _ .

​(Round to three decimal places as​ needed.)

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