Residuals and Residual Plots

​Residuals and Residual Plots

​Probability & Statistics

ReAt the end of this lesson,

​At the end of this lesson you will be able to...

​Objectives

Multiple Choice

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

• 5

• 1

• 3

• 9

Multiple Choice

Residuals are . . . 

• possible models not explored by the researcher
• variation in the response variable that is explained by the model
• the difference between the observed response and the values predicted by the model
• data collected from individuals that is not consistent with the rest of the group

Multiple Choice

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

• 5

• 1

• 3

• 9

Multiple Choice

I predicted someone would score a 78% on their test, but they actually scored an 81%. What's the residual?

• 81 - 78 = 3

• 78 - 81 = -3

• What's residual?

Multiple Choice

The linear model to represent the distance (in miles) traveled given the time (in hours) driving is 

$$m=-1.79+61.93h$$ . A person who traveled for 8 hours, went 443.65 miles.  What is the residual?

• 50 miles

• -50 miles

• 8 miles

• -25 miles

Multiple Choice

A residual is the vertical distance between a data point and a line of fit.

• True

• False

Multiple Choice

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

• YES
• NO

Multiple Choice

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

Multiple Choice

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

Multiple Choice

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

Multiple Choice

A scatter plot and residual plot are the same thing.

• True
• False

Multiple Choice

What should a residual plot look like?

• Distinct Pattern
• Curve
• Random

Multiple Choice

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

• YES
• NO

Multiple Choice

Which residual plot shows that a linear regression model would be most appropriate?

• a
• b
• c

Multiple Choice

As study time _______________, errors _______________.

• increases ; decrease
• increases ; increase
• decreases; decrease
• increases ; stays the same

Poll

Here is a scatter plot and line of best fit. Match the line with the graph of its residuals.

Poll

Here is a scatter plot and line of best fit. Match the line with the graph of its residuals.

Poll

Here is a scatter plot and line of best fit. Match the line with the graph of its residuals.

Poll

Here is a scatter plot and line of best fit. Match the line with the graph of its residuals.

Poll

Here is a scatter plot and line of best fit. Match the line with the graph of its residuals.

Poll

Here is a scatter plot and line of best fit. Match the line with the graph of its residuals.

Poll

Here is a scatter plot and line of best fit. Match the line with the graph of its residuals.