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Finding Measures of variation. In Exercises find the (a) explained variation (b) unexplained variation, (c) total...

Finding Measures of variation. In Exercises 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 significant linear correlation so that it is reasonable to use the regression equation when making predictions.

Cholesterol and BMI Refer to the paired cholesterol/BMI data for women as listed in Data Set 1 in Appendix B. (Let x represent the cholesterol levels.)

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Answer #1

The paired cholesterol / BMI data for women listed below.

Using the above data we get the following values.

and .

Slope ():

Intercept ():

The regression equation is.

(a) Prepare the following table for obtaining the explained variation.

(b) Prepare the following table for obtaining the unexplained variation.

(c) Using part (a) and part (b) we can get the total variation.

(d) Coefficient of determination is computed as follows:

(e) Standard error of the estimate is obtained as follows:

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