Analyzing Residuals
Related Topics: Lesson Plans and Worksheets for Algebra I Lesson Plans and Worksheets for all Grades More Lessons for Algebra I Common Core For Algebra I
Videos and lessons with examples and solutions to help Algebra I students learn to use a graphing calculator to construct the residual plot for a given data set. Students use a residual plot as an indication of whether the model used to describe the relationship between two numerical variables is an appropriate choice.
New York State Common Core Math Algebra I, Module 2, Lesson 17, Lesson 18
Worksheets for Algebra 1
In these lessons, students use technology to generate residual plots. Students build on their knowledge of using technology to determine the least-squares line for a data set.
Lesson 17 Summary
- After fitting a line, the residual plot can be constructed using a graphing calculator.
A pattern in the residual plot indicates that the relationship in the original data set is not linear.
In an earlier lesson you looked at a data set giving the shoe lengths and heights of 12 adult women. This data set is shown in the table below. Use a calculator to construct the scatter plot (with least-squares line) and the residual plot for this data set.
Lesson 17 Exit Ticket
- If you see a random scatter of points in the residual plot, what does this say about the original data set?
- Suppose a scatter plot of bivariate numerical data shows a linear pattern. Describe what you think the residual plot would look like. Explain why you think this. Using the TI-84 Calculator.
Using the TI-Nspire Calculator.
Lesson 18 Summary
- A curve or pattern in the residual plot indicates a curved (nonlinear) relationship in the original data set.
- A random scatter of points in the residual plot indicates a linear relationship in the original data set.
Lesson 18 Exit Ticket
- If you see a clear curve in the residual plot, what does this say about the original data set?
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your answer. (c) Produce, using your calculator, the residual graph. It does not need to be exact, but show your WINDOW and the correct general location of the residuals. (d) Why does this residual plot show a more appropriate linear model than the one in Exercise #1, even though the r-value is worse? Hours Studying 3 7 2 11 8 16 5 9
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In this lesson we look at the theory of Residuals and how they are used to determine the appropriateness of a linear regression model. We contrast this stati...
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Students use a residual plot as an indication of whether the model used to describe the relationship between two numerical variables is an appropriate choice. New York State Common Core Math Algebra I, Module 2, Lesson 17, Lesson 18. Worksheets for Algebra 1. In these lessons, students use technology to generate residual plots.
answers these questions. Example 2: Why Do You Need the Residual Plot? ... 1. For each of the following residual plots, what conclusion would you reach about the relationship between the ... ALGEBRA I NYS COMMON CORE MATHEMATICS CURRICULUM NYS COMMON CORE MATHEMATICS CURRICULUM 2 MX Lesson 18 Lesson # COURSE NAME 2.
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Now, the residual will be the difference between the observed value zero minus the predicted value 13.1. This is a little bit of an odd one because the residual is negative 13.1. Residuals can be either positive or negative. When a residual is negative, what it means is that the prediction is much larger than the actual observed. All right?
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Arrow down to Type: choose the first option (scatter plot). Make XList: L1 (the x-values) Make Y List: by hitting LIST 7 (the residuals) • Go to ZOOM. Choose ZOOM 9:ZoomStat. Step 5:Use the information on your graphing calculator to record the Residuals in the table above Problem 1 on S7.
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