For the following set of data,
X Y
5 8
5 9
8 15
4 14
6 17
3 11
a. Compute the Pearson correlation, showing all work, all steps, without
using Excel or statistical software. 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?
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