Chapter 3.2, Problem 71E

To determine

To find: The option that is not the characteristics of the least-squares regression line.

Explanation of Solution

Given:

There are five options that exhibit the features of the least square regression line.

The equation of the regression line is:

  $\begin{array}{l}\widehat{y}=a+bx\\ a=y-\text{intercept}\\ b=\text{Slope coefficient}\end{array}$

The slope of the regression line is showing using the symbol (b). There is no restriction on the values of the regression line. It can take any values whether it is positive or negative. Thus, it cannot be said the slope of the regression line falls between -1 and 1.

Thus, the option (a) is not the characteristics of the regression line.

Hence, the correct option is (a).