Answer the following questions based on Section 5.1.2: Influential points - leverage.
Consider the following data:
X | 0.8 | 0.6 | 0.8 | 0.2 | 0.5 | 1.0 | 1.5 | 0.1 | 0.2 | 0.5 |
Y | 0.7 | 0.5 | 0.5 | 0.3 | 0.6 | 0.9 | 1.1 | 0.1 | 0.4 | 0.4 |
Use statistical software to fit a simple linear regression model with response variable,
Y, and predictor variable,
X. Use the fitted model to answer the following questions.
1.
What are the estimated intercept and slope for this fitted model?
2.
Which observation has the highest leverage for this fitted model?
4.
Remove this observation from the dataset and refit the simple linear regression model with response variable, Y, and predictor variable, X. What are the estimated intercept and slope for this refitted model?
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