Question

# 5.1 For the following set of data,

X 4 3 10 8 5 6 Y 6 9 21 19 15 11

a. Compute

the Pearson correlation. Determine if there is a relationship, what type of relationship it is, and how strong or weak that relationship is, if any relationship exists.

b. Find the linear regression equation for predicting Y from X (use the linear regression equation formula #1 from class handout).

c. Use the regression equation that you derived (part b above) to compute the predicted Y for each actual value of X. Compare the predicted Y scores to the actual Y scores. Why is there a difference between the predicted Y values and the actual Y values? How do you explain this difference?