Using the following information, make a prediction for Y, given an X score of 8:

Variable X: M = 12, SD = 3

Variable Y: M = 74, SD = 18

Pearson correlation of variables X and Y = 0.46

1. Transform the raw score for the independent variable to a z score.
2. Calculate the predicted z score for the dependent variable.
3. Transform the z score for the dependent variable back into a raw score.
4. Calculate the y intercept, a.
5. Calculate the slope, b.
6. Write the equation for the line.
7. Draw the line on an empty scatterplot, basing the line on predicted Y values for X values of 0, 1, and 18.