These results are further reinforced by looking at the correlations between each set of variables and the opposite group of canonical variates.
- The correlations between the sales variables and the first canonical variate for test scores are found on page 4 of the SAS output:
Correlations Between the Sales Variables and the Canonical Variables of the Test Scores
scores1 scores2 scores3 growth 0.9745 0.0006 -0.0766 profit 0.9412 0.2835 0.0029 new 0.9466 -0.1636 0.0934 We can see that all three of these correlations are strong and show a pattern similar to that with the canonical variate for sales. The reason for this is obvious: The first canonical correlation is very high.
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The correlations between the test scores and the first canonical variate for sales are also in the SAS output:
Correlations Between the Test Scores and the Canonical Variables of the Sales Variables
sales1 sales2 sales3 create 0.6348 -0.1894 0.2499 mech 0.7172 0.2086 -0.0260 abs 0.6437 -0.4402 -0.2203 math 0.9389 0.1735 -0.0361 Note! These also show a pattern similar to that with the canonical variate for test scores. Again, this is because the first canonical correlation is very high. -
These results confirm that sales performance is best predicted by mathematics test scores.