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 approximately linear.

The regression line is not a good model because only one point in the residual plot is on the x-axis.

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

The regression line is not a good model because the residuals are not randomly distributed.

Answer 1

Answer:

The regression line is not a good model because the residuals are not randomly distributed.

Step-by-step explanation:

In a regression, the residual is the difference between the observed values and the predicted values.  

If the points in a residual plot are randomly dispersed, a linear regression model is appropriate for the data.

In this case, a pattern is present (the plot is similar to a sine plot); this suggest that a non-linear regression would be better.

Answer 2

The true statement is that: (d) the regression line is not a good model because the residuals are not randomly distributed.

For a residual plot to represent a good model, the points (i.e. the residuals) on the residual plot must be randomly distributed across the coordinates

Using the graph as a guide, we can see that the points follow a pattern (or curve)

Hence, the true statement is (d)

Read more about residual plots at:

https://brainly.com/question/16180255