Chapter 12, Problem 32CCSR

To determine

Identify reasonable trend line that accommodates maximum number of points.

Answer to Problem 32CCSR

Option $\left(G\right)$ is correct.

Explanation of Solution

Given information:

Scatter plot

  

Options:-

  $\begin{array}{l}\left(F\right)y=\frac{1}{3}x+8\\ \left(G\right)y=\frac{2}{3}x+3\\ \left(H\right)y=\frac{1}{2}x-3\\ \left(I\right)y=3x+3\end{array}$

Calculation:

As per scatter plot option $\left(F\right)and\left(H\right)$ have intercept point beyond points given,

Now verify option $\left(G\right)and\left(I\right)$ .

  $\begin{array}{l}putx=4\\ y=\frac{2}{3}\left(4\right)+3\\ =\frac{8}{3}+3\\ =\frac{8+9}{3}\\ =\frac{17}{3}\end{array}$

  $\begin{array}{l}nowforIoption,\\ y=3\left(4\right)+3\\ y=12+3\\ y=15\end{array}$

So, $y=15$ is not possible, option $\left(G\right)$ will be considered.

Hence, option $\left(G\right)$ is correct.