For the following set of data,
X 3, 8, 10, 8, 4, 7
Y 11, 19, 22, 20, 14, 13
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.
Find the linear regression equation for predicting Y from X (use the linear regression equation formula #1 from class handout).
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?
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