Regression/Residual Analysis Paper + WriteUp

Use the following methods to conduct a full research regression analysis paper:

1) Forward and Backwards BIC/AIC variable selection

2) Residual Analysis: Partial Regression/Residuals, covariance analysis

3) Model fitting, over and under fitting checks

4) Outlier analysis

The paper must include R-code and must include a hypothesis, exploratory analysis, a plan of regression testing, model fitting, model accuracy, and a final conclusion write up