Question

The Department of Energy website contains data on 1209 model year 2016 cars and SUVs.10 Included in the data are the engine size (as measured by engine displacement in liters) and combined city and highway gas mileage (in miles per gallon). When you make a scatterplot to predict gas mileage from engine size, the explanatory variable on the x axis

1. is the gas mileage.
2. is the engine size.
3. can be either gas mileage or engine size.

Answer 1

2. is the engine size.

Explanation:

When we make a scatter plot to predict gas mileage from engine size, the explanatory variable on x axis would be the engine size because for predicting any one variable we definitely need one explanatory variable and since we are predicting gas mileage then engine size will be the explanatory variable on x axis.

The equation of regression is:
`y_i = \alpha +\beta x_i+e_i` ,

where
`y_i` = Dependent or predicting variable (Output)

`x_i` = Independent or Explanatory variable (Input)

`\alpha` = Intercept parameter

`\beta` = Slope parameter

`e` = error terms