SOLUTION: Interpret the type of correlation by completing the table below and calculating the correlation coefficient r. Round the correlation coefficient to two decimal places. Interim rou

Algebra ->  Probability-and-statistics -> SOLUTION: Interpret the type of correlation by completing the table below and calculating the correlation coefficient r. Round the correlation coefficient to two decimal places. Interim rou      Log On


   

Question 251780: Interpret the type of correlation by completing the table below and calculating the correlation coefficient r. Round the correlation coefficient to two decimal places. Interim rounding should be four decimal places. Outcome 3

x y xy x^2 y^2
38 116
41 120
45 123
48 131
51 142
53 145
57 148
61 150
65 152

Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
I assumed your first column was X information and your second column was Y information. To solve this, we need several pieces of information: n, Xbar, Y bar, SUM(XY), SUM(X^2), SUM(Y^2).
n = 9
average%28X%29 = 51
average%28Y%29 = 136.3333
SUM%28XY%29 = 63544
SUMX%5E2%29 = 24059
SUM%28Y%5E2%29 = 168843
r^2 = [SUM(XY) - nXbarYbar)^2] / [(SUM(X^2) - nXbar^2)(SUM(Y^2) - nYbar^2)]
If all numbers are put in correctly and then a square root is taken, you should end up with
r ~ .95968627 ~ .96.