Residual Plots Worksheet
Understand and interpret residual plots to evaluate the appropriateness of linear models for Grade 11 students.
Includes
Topics
Residual Plots Analysis
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Date:
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Read each question carefully and provide thoughtful answers. For questions involving graphs, analyze the provided plots to draw conclusions about the appropriateness of a linear model.
1. A residual is the difference between the value and the value.
2. A good residual plot shows no discernible or .
3. Which of the following indicates that a linear model is appropriate for the data?
A clear parabolic pattern in the residual plot.
Random scattering of points around the horizontal axis in the residual plot.
A fanning out or fanning in pattern in the residual plot.
A strong positive correlation in the residual plot.
4. Observe the residual plot below. Is a linear model appropriate for the data? Explain your reasoning.
5. Examine the residual plot below. What does this plot suggest about the suitability of a linear model for the data? Justify your answer.
6. If a residual plot shows a clear pattern, it means the linear model is a good fit for the data.
True
False
7. Describe a real-world scenario where analyzing a residual plot would be crucial in determining the effectiveness of a linear regression model.