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can you please do the following in R studio National Football League. Consider the National Football league data. y: Games won, x 1 :Rushing yards,

can you please do the following in R studio
National Football League. Consider the National Football league data. y: Games won, x1:Rushing yards, x2: Passing yards, x3: Punting average, x4: Field goal percentage, x5: Turnover differential, x6: Penalty yards, x7: Percent rushing, x8: Opponents rushing yards, x9: Opponents passing yards
1. Apply the all-possible-regression procedures. Show the results of best subset regression models (i.e. the chosen models for a certain number of explanatory variables).(3 points)
2. Use the forward selection algorithm with AIC to select a regression model (3 points)
3. Use the backward selection algorithm with AIC to select a regression model (3 points)
4. Use stepwise regression with AIC to select a regression model (3 points)
5. Comment on the final model chosen by these procedures (3 points)
Home Ownership Status. A study was conducted attempting to relate home ownership to family income. Twenty household were selected and family income was estimated, along with information concerning home ownership (y=1 indicates yes and y=0 indicates no).
6. Fit a logistic regression model to the response variable y.(3 points)
7. Does the model deviance indicate that the logistic regression model is adequate? (3 points)
8. Show the residual plots for the model. (3 points)
9. Provide an interpretation of the parameter \beta 1 in this model. (3 points)
10. Expand the linear predictor to include a quadratic term in income (i.e. add x2 as another explanatory variable). Is there any evidence that this quadratic term is required in the model? (3 points)

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