1. For the following data:

X Y (Y - ) (Y - )²

7 16

5 2

6 1

3 2

4 9

S(Y - )² =

1. Make a scatterplot of the X,Y points and estimate the correlation.
2. Calculate the Pearson correlation for these data. (You do NOT have to test whether it is significant.)
3. Calculate and write out the regression equation for predicting Y from X. (I.e., write out the complete regression equation after finding the proper values for a and b.)
4. Calculate the predicted/estimated Yvalue , , for each value of X
5. On your scatterplot from a), add the points for each (X,). Then trace a line between these estimated values (this is your regression line).
6. Find the difference between the actual Y value and the predicted value for reach individual, square the differences, and add the squared values to obtain SS_residual.
7. Use r² and SS_Y to compute SS_residual with equation 14.19. How does it compare with the value from part c?(If you did things correctly, they should be close to equal!)