Activity 40

MATH 216: Statistical Thinking

Activity 1: Slope interpretation

  1. Think: Reflect on the equation \(\widehat{BAC} = -0.0127 + 0.0180(\text{Beers})\). What does the slope (0.0180) represent in the context of BAC and beer consumption?

Activity 2: Confidence Intervals Interpretation

  1. Question: What is the 95% confidence interval for the slope of the number of beers consumed in the BAC model? Use the confint command to find the answer.

Activity 3: Real Data

  1. Task: Fit a multiple regression model predicting BAC using both Beers and Weight as predictors. Interpret the Weight coefficient specifically. What does it tell us about the relationship between weight and BAC?

Activity 4: Case Studies and Problem-Solving

  1. Task: Fit a multiple regression model including Beers, Weight, and Gender as predictors. Does gender significantly affect BAC after controlling for beers consumed and weight? Interpret the Gendermale coefficient in your model.