The values of 2 variables x and y are given as below. x 150 120 130...
The values of 2 variables x and y are given as below.
x 150 120 130 125 140 110 125 150
y 92 65 70 85 95 90 100 87
The linear correlation coefficient between x and y is
Select one:
a. 0.090
b. -0.090
c. 0.247
d. -0.247
e. None of the other answers in necessary tru
Homework Answers
Solution:
| X | Y | XY | X^2 | Y^2 |
| 150 | 92 | 13800 | 22500 | 8464 |
| 120 | 65 | 7800 | 14400 | 4225 |
| 130 | 70 | 9100 | 16900 | 4900 |
| 125 | 85 | 10625 | 15625 | 7225 |
| 140 | 95 | 13300 | 19600 | 9025 |
| 110 | 90 | 9900 | 12100 | 8100 |
| 125 | 100 | 12500 | 15625 | 10000 |
| 150 | 87 | 13050 | 22500 | 7569 |
| n | 8 |
| sum(XY) | 90075.00 |
| sum(X) | 1050.00 |
| sum(Y) | 684.00 |
| sum(X^2) | 139250.00 |
| sum(Y^2) | 59508.00 |
| Numerator | 2400.00 |
| Denominator | 9715.55 |
| r | 0.2470 |
| r square | 0.0610 |
| Xbar(mean) | 131.2500 |
| Ybar(mean) | 85.5000 |
| SD(X) | 13.0437 |
| SD(Y) | 11.3346 |
| b | 0.2087 |
| a | 58.1087 |
r = 0.247
option c. is correct
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