Homework SourseGRE GPA 1007 24 750 23 1363 33 1615 31 901 26 664 9 940 30 1
GRE GPA 1,007 2.4 750 2.3 1,363 3.3 1,615 3.1 901 2.6 664 .9 940 3.0 1,264 2.4 1,315 2.8 654 2.5 I need the covariance, interpret the covariance, and the coefficient correlation. I got 126.03 for the covariance but don\'t think its right
Solution
Covariance = 126.03
combined variance between GRE and GPA is 126.03
coefficient of correlation = Covariance/ [SD of X* SD of Y] = 126.03/(310.661246*0.62936476)=0.644596
There is a moderate positive correlation between GRE and GPA.
| GRE | GPA | Product of deviations | square of x deviations | square of y deviations |
| 1007 | 2.4 | 5.24 | 1624.09 | 0.0169 |
| 750 | 2.3 | 68.38 | 88387.29 | 0.0529 |
| 1363 | 3.3 | 243.09 | 99666.49 | 0.5929 |
| 1615 | 3.1 | 323.59 | 322283.29 | 0.3249 |
| 901 | 2.6 | -10.24 | 21403.69 | 0.0049 |
| 664 | 0.9 | 624.78 | 146918.89 | 2.6569 |
| 940 | 3 | -50.43 | 11513.29 | 0.2209 |
| 1264 | 2.4 | -28.17 | 46958.89 | 0.0169 |
| 1315 | 2.8 | 72.28 | 71663.29 | 0.0729 |
| 654 | 2.5 | 11.80 | 154684.89 | 0.0009 |
| 10473 | 25.3 | 1260.31 | 965104.10 | 3.961 |
| 1047.3 | 2.53 | 126.03 | 96510.41 | 0.3961 |
| Standard deviations | 310.661246 | 0.62936476 |
