A group of high school seniors took a scholastic aptitude test. The resulting ma

Question

A group of high school seniors took a scholastic aptitude test. The resulting math scores had a mean 476.8 with a standard deviation of 180.5, verbal scores had a mean 478.9 with a standard deviation of 170.1, and the correlation between verbal and math scores was r0.745. Answer the questions beloww The correlation is 0.745 (Round to three decimal places as needed.) b)Write the equation of the line of regression predicting verbal scores from math scores (Round to three decimal places as needed.) d)A person tells you her math score was 681. 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 97.99+0.791(verbal). predict the student's math score The predicted math score is (Round to three decimal places as needed.)

Explanation / Answer

slope b=r*Sy/Sx =0.745*170.1/180.5 =0.702

intercept a =478.9-0.702*476.8 =144.186

b) Yhat =144.186+0.702x

c) predicted score =622.248

d)

predicted math score =97.99+0.791*622.248=590.188

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