Creating Residual Plots

After performing analyses on a set of data, Mrs. Schoeneck examined the scatter plot of the residual values for each analysis. Which scatter plot indicated the best linear fit for the data?

• A

• B

• C

Shown is a residual plot. Would a linear regression model of the data be most appropriate?

• YES

• NO

Shown is a residual plot. How many positive residuals are there?

• 5

• 1

• 3

• 9

• This residual plot represents a linear fit.
• This residual plot represents a nonlinear fit.
• This residual plot represents no fit.

Shown is a residual plot. How many negative residuals are there?

• 5

• 1

• 3

• 9

A linear model was used for a data set and produced the residual plot shown. Based on the residual plot, which statement is true about the model?

• The model is likely a good fit because the plot shows a random pattern

• The model is likely not a good fit because the plot shows a random pattern

• The model is likely not a good fit because the plot shows a non-random pattern

• The model is likely a good fit because the plot shows a non-random pattern

Answer explanation

The residual plot of a linear scatter plot will have RANDOM scatter.

They do NOT have any patterns or clusters of points

Shown is a residual plot.
Would a linear regression model be a good fit?

• YES

• NO

Select all the negative residuals

• This residual graph represents a linear fit.
• This graph represents a nonlinear fit.
• This residual graph represents no fit.

Shown is a residual plot. Would a linear regression model of the data be most appropriate?

• YES

• NO