Question

The residual plot for a data set is shown.

Based on the residual plot, which statement best explains whether the regression line is a good model for the data set and why?




The regression line is a good model because the points in the residual plot are close to the x-axis.

The regression line is not a good model because the points in the residual plot form a curve.

The regression line is a good model because there is a pattern in the residuals.

The regression line is not a good model because some residuals are negative.

Answer 1

B) The regression line is not a good model because the points in the residual plot form a curve

Explanation:

When you are constructing a regression line to represent a good model for the data set, it helps to look at its residual plot because if there is no pattern, the regression line is a good model, but if there is a pattern, it's best to try a different model.

Here, we can see that the residual plot has a curvature pattern, showing that the regression line is not a good model.