Find the (a) explained variation, (b) unexplained variation, (c) total variation, (d) coefficient of determination, and (e) standard error of estimate se. 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 isand 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.