Question

\({s_e}\)Notation Using Data Set 1 “Body Data” in Appendix B, if we let the predictor variable x represent heights of males and let the response variable y represent weights of males, the sample of 153 heights and weights results in\({s_e}\)= 16.27555 cm. In your own words, describe what that value of \({s_e}\)represents.

Short answer

The value of \({s_e}\) equal to 16.27555 cm explains that the average distance of the observed value of weights of males from the fitted values is obtained using the regression equation.

Step-by-step solution

Given information

A regression equation between the response variable “weights of male” and the predictor variable “heights of males” is given.

The value of \({s_e}\) is 16.27555 cm.

Meaning of \({s_e}\)

\({s_e}\)stands for the standard error of the estimate.

It describes the mean distance between the observed values of the response variable and the predicted values.

Here, the response variable is the weights of males, and the standard error of the estimate\(\left( {{s_e}} \right)\)is 16.27555 cm.

Thus, the standard error of estimate tells that the average difference between the measured weights and the weights predicted by the regression equation equals 16.27555 cm.

It represents how much the sample points deviate from the regression line.