Appex 15

STA 112 - Fall 2023

Part 1

  1. Copy the following template into RStudio Pro:
https://github.com/sta-112-f23/appex-15.git

  1. Fit a model predicting GPA using high school gpa (HSGPA) and verbal SAT score (SATV). Save this as model1

  2. Fit a model predicting GPA using high school gpa, verbal SAT score (SATV), and math SAT score (SATM). Save this as model2.

  3. Fit a model predicting GPA using high school gpa, verbal SAT score (SATV), math SAT score (SATM), and number of humanities credits taken in high school (HU). Save this as model3.

  4. Conduct an “nested F test” comparing Model 1 to Model 2. What are the null and alternative hypotheses? Is model 2 significantly better than model 1?

  5. Conduct a “nested F test” comparing Model 2 to Model 3. What are the null and alternative hypotheses? Is model 3 significantly better than model 2?

  6. Choose AIC or BIC to compare models 1, 2, and 3. Rank the models.