5.1 For the following set of data, Y 5 8 5 9 8 15 4 14 6 17 3 11 a b. C. 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. 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? Pearson Correlation (r) Table of Calculations x XY Exy ()) n =? n (# of rows r = (y) depend on n n Sample size) Sy2 (5x) (y) n b (Ex) Slope (b) xy-(Ex)(Ey) . a My-b(MX) n y-intercept (a) My n Linear Regression formula: Y = bx +a Means My n