Chapter 12, Problem 7PT

To determine

To find: the population regression is of 95 percent confidence interval on the basis of mention information.

Answer to Problem 7PT

  $-4139198\pm 3396742$

Explanation of Solution

Given:

  $\begin{array}{c}b=-4139198\\ S{E}_b=1698371\\ n=69\end{array}$

Formula used:

The confidence interval boundaries are

  $b\pm t^{\ast }\times S{E}_b$

Calculation:

The degrees of freedom is

  $df=n-2=69-2=67>60$

The critical t-value is shown in table in the row of $df=60$ and column of $c=95\%$

  $t^{\ast }=2.000$

The confidence interval boundaries become then:

  $\begin{array}{c}b\pm t^{\ast }\times S{E}_b=-4139198\pm 2.000\times 1698371\\ =-4139198\pm 3396742\end{array}$

Hence, the correct option is (e)