Answer:
0.410
Step-by-step explanation:
We are predicting exam 2 scores from exam 1 scores so the dependent variable y is exam 2 scores and independent variable is exam 1 scores x.
The regression equation is
y=a+bx
Where y is exam 2 scores and x is exam 1 scores.
We are given that
correlation coefficient=r=0.6.
Mean and standard deviation of x are xbarx=85 and Sx=12.
Mean and standard deviation of y are xbary=82 and Sy=8.2.
The slope b for this scenario can be found as
[tex]slope=b=r\frac{Sy}{Sx}[/tex]
[tex]slope=b=0.6(\frac{8.2}{12} )[/tex]
[tex]slope=b=0.6(0.6833)[/tex]
[tex]slope=b=0.41[/tex]
Thus, the slope of the regression equation for predicting Exam 2 scores from Exam 1 scores is 0.410.
