Chapter 4.2, Problem 4.54E

To determine

To verify the equation of the least squares line given earlier using the formulas given in the question.

Explanation of Solution

The least squares line given earlier is:

  $16.3+0.09(\text{Body weight)}$

Now for verifying;

Fill in the known values in the given formulas for a andb :

  $\begin{array}{l}b=r\frac{s_y}{s_x}\\ =(0.795)\frac{3.462}{30.296}\\ =0.0908\\ \approx 0.09\\ a=\overline{y}-b\overline{x}\\ =28.625-0.09(136.125)\\ =16.2585\\ \approx 16.3\end{array}$

Thus the equation then becomes:

  $y\approx 16.3+0.09x$

withy the pack weight and x the body weight.

Hence verified.