Here is a bivariate data set.
| x | y |
|---|---|
| 63 | 50 |
| 66 | 57 |
| 67 | 48 |
| 59 | 55 |
| 68 | 44 |
| 68 | 40 |
| 62 | 37 |
| 45 | 70 |
Find the correlation coefficient and report it accurate to four
decimal places.
r =
Here we have data:
| X | Y |
| 63 | 50 |
| 66 | 57 |
| 67 | 48 |
| 59 | 55 |
| 68 | 44 |
| 68 | 40 |
| 62 | 37 |
| 45 | 70 |
Here we are use Excel for calculation:
Scatter plot:

We get:
R^2 = 0.5827
Correlation cofficient:
r = SQRT(0.5827)
= 0.7633
Correlation coefficient r = 0.7633 (Round to four decimal place)
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