Residual Plots: Definition & Example


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question 1 of 3

If the data point is at (3, 10.5) and the prediction equation is y = -6.1x + 12.5, what is the value of the residual for this data point?

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1. Which residual plot indicates that the corresponding prediction equation is a good fit for the data?

2. You gather data by measuring the head circumference and height of 7 babies. Both variables are measured in inches. Your data is represented in the table shown below. The prediction equation you find is Height = - 52.4 + 4.54(Circumference). Which plot represents the residual plot for your data set using this prediction equation?

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About This Quiz & Worksheet

Assess your understanding of residual plots with this worksheet/quiz. The quiz will assess your ability to find the value for a residual with a given data point, as well as asking you to pick out a residual plot that shows that the prediction equation matches the data well.

Quiz & Worksheet Goals

You'll be responsible for answering questions on these topics:

  • Residual plot that represents data about the heads of babies
  • Finding the best-fitting prediction equation for given data
  • Determining the sum of squared residuals for given data

Skills Practiced

  • Problem solving - use acquired knowledge to solve residual plot practice problems
  • Information recall - access the knowledge you've gained regarding how to find the sum of squared residuals
  • Making connections - use your understanding of prediction equations to explain how they're associated with data and variables

Additional Learning

The lesson we've named Residual Plots: Definition & Example was created to help you with the following bullet points:

  • The way residual plots are used in statistics
  • Definitions for 'residual' and 'residual plots'
  • Residual plot examples
  • The least-squares regression line