Q. 4.112 - Elementary Statistics

Question

The data for gas mileage and engine displacement for $121$ vehicles from Exercise $4.78$ are provided on the Weiss Stats site.

a) Decide whether finding a regression line for the data is reasonable. If so, then also do puts $\left(b\right)-\left(d\right)$.

Step-by-Step Solution

Answer

The regression line for the data is not-reasonable.

Step 1: Given Information

Whether it is reasonable to find the regression line or not.

Step 2: Explanation

The scatterplot for the given data can be drawn by using the MINITAB:

Step 1: Choose Graph$>$ Scatterplot

Step 2: Choose With Connect Line, and then click OK.

Step 3: Under $Y$ variables, enter a column of MPG

Step 4: Under $X$variables, enter a column of Disp.

Step 5: Click OK

Step 3: Explanation

The scatterplot obtained will be,

From the above scatterplot, it is not reasonable to find a regression line for the data because the observations are not scattered around a line. Hence, there is no linear pattern visible in the given data. Therefore, the parts (b) - (d) will be omitted.