A report summarizing scores for students on a verbal aptitude test x and a math

Question

A report summarizing scores for students on a verbal aptitude test x and a math aptitude test y gives the following results x = 480, s_x = 80, y = 500, s_y = 120, r = 0.6. (a) Find the slope of the regression line, based on its connection with the correlation. (b) Find the y-intercept of the regression line. (c) Now switch the variables: let x be the math aptitude score, and calculate the prediction equation. (d) How are the two calculated slopes similar or different? One is the absolute value of the other. One is the inverse of the other. Subtract the first from 1 to get the second. None of the above.

Explanation / Answer

a)here slope b1=r*sy/sx=0.6*120/80 =0.9

b)and intercept bo=Ybar-b1*Xbar =500-0.9*480=68

c)here Yhat=280+0.4x

d)none of the above

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