3. The following questions are about the calculations of the correlation coefficient. Please show your work as much as possible for the following sub-questions. (Round your answers to 2 decimal places if necessary, e.g., 12.34.) (a) Calculations from a data set of n = 36 pairs of (x, y) values have provided the following results. [(x; - x)2 =530; [(vi - 1)2 = 235; (x; - x) (vi - y) =-204. Calculate the correlation coefficient r. (b) Calculations from a data set of n = 5 pairs of (x, y) values have provided the following results. Ex; = 15; _yi = 38; _x? = 55; _y? = 354; _xiyi =135. Calculate the correlation coefficient r