Use a calculator to verify that Σx = 153.0, Σx2 = 3424.78, Σy = 243, Σy2 = 9785 and Σxy = 5524.6. Compute r. (Round to 3 decimal places.)
x |
10.9 | 31.8 | 24.5 | 14.3 | 7.5 | 27.7 | 16.2 | 20.1 |
y | 24 | 72 | 39 | 23 | 15 | 30 | 15 | 25 |
Solution:
X | Y | XY | X2 | Y2 | |
10.9 | 24 | 261.6 | 118.81 | 576 | |
31.8 | 72 | 2289.6 | 1011.24 | 5184 | |
24.5 | 39 | 955.5 | 600.25 | 1521 | |
14.3 | 23 | 328.9 | 204.49 | 529 | |
7.5 | 15 | 112.5 | 56.25 | 225 | |
27.7 | 30 | 831 | 767.29 | 900 | |
16.2 | 15 | 243 | 262.44 | 225 | |
20.1 | 25 | 502.5 | 404.01 | 625 | |
SUM | 153.0 | 243 | 5524.6 | 3424.78 | 9785 |
r = 0.801
Answer : r = 0.801
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