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9. A project evaluated whether the four factors (InCostAid, Admit, GradRate, and OutCostAid) are predictors for debt in dollars at graduation (AveDebt) using the dataset
9. A project evaluated whether the four factors (InCostAid, Admit, GradRate, and OutCostAid) are predictors for debt in dollars at graduation (AveDebt) using the dataset of "BESTVAL.csv."
Variable name | Contents |
AveDebt | debt in dollars at graduation |
InCostAid | in-state cost per year after need-based aid |
Admit | The admittance rate |
GradRate | Four-year graduation rate |
OutCostAid | Out-of-state cost after aid |
- Provide descriptive statistics and histogram for all variables of interest (outcome and predictors)
- Provide pairwise Pearson correlations for the four predictors and check multicollinearity. Comment on these correlations using the criteria provided in class and whether it is appropriate to consider all 4 predictors for building a multivariable model.
- Create scatter plots for each predictor with AveDebt. Comment on the plots.
- Perform univariate linear regression for each predictor and complete the following table.
Beta (SE) | p-value | |
InCostAid | ||
Admit | ||
GradRate | ||
OutCostAid |
- Conduct a multivariable linear regression using both (1) univariate model approach and (2) automatic variable selection. Comment what your final model is and your reason for choosing it as the final model. <10 points>
- Obtain the Jackknife residuals, leverage, and Cook's distance from your final multivariable model and comment on the problematic points.
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