Find the (a) explained variation, (b) unexplained variation, (c) total variation, (d) coefficient of determination, and (e) standard error of estimate s_{e.} In each case, there is a significance linear correlation so that it is reasonable to use the regression equation when making predictions.

**Solution: **Using Statdisk we obtain:

The critical value is_{}and the test statistics is 0.65788, which means that the coefficient of correlation is significantly different from zero. This means that a linear regression analysis would be meaningful. The coefficient of determination is 0.43281, which means that 43.281% of the variation in “Diastolic” is explained by the variation of “Systolic”. The standard error of the estimate is equal to

_{}

The total variation is 1062.9, the explained variation is 460.04 and the unexplained variation is 602.89.

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