A logistic regression analysis was performed to predict the probability that an NFL team wins a game based on the point differential at halftime. The parameters of this analysis are b0=0.08482 and b1=0.17635.
a. Plot the probability that the home team wins as a function of halftime point differential (use every point value between -35 and +35).
b. Predict the probability of the home team winning for each game in the file 2020 NFL W1.
c. Use the probabilities predicted in part b. If a probability is 0.5 or greater we will classify the outcome as a predicted home team win, and if a probability is less than 0.5 we will classify the outcome as a home team loss. What proportion of these predictions are correct?