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Understanding Leverage Plots in Model Validation - Mastering Relationships in Regression Analysis

Learn how to use Leverage Plots (Partial Regression Plots) to isolate the effects of individual explanatory variables, despite correlations among them. Explore the steps and concepts behind this powerful tool in regression analysis.

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Understanding Leverage Plots in Model Validation - Mastering Relationships in Regression Analysis

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  1. Statistics 350 Lecture 28

  2. Today • Last Day: Section 9.6 on Model Validation • Today: Leverage Plots

  3. Leverage Plots (Partial Regression Plots) • Relationships seen in plots using any one explanatory variable may be obscured by the effects of other explanatory variables (same thing happens in tests) • Correlations between explanatory variables make it difficult to separate out effects on the response due to different explanatory variables

  4. Leverage Plots (Partial Regression Plots) • A Partial Regression (Leverage) Plot (PRLP) is an attempt to look at individual relationships between the response and explanatory variables without interfering effects from other explanatory variables

  5. Leverage Plots (Partial Regression Plots) • Idea: to isolate the effect of a particular Xj from the rest of the explanatory variables • Steps:

  6. Leverage Plots (Partial Regression Plots) • Idea: to isolate the effect of a particular Xj from the rest of the explanatory variables • Steps:

  7. Leverage Plots (Partial Regression Plots) • Notes:

  8. Leverage Plots (Partial Regression Plots) • Notes:

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