Baseball is played at a fairly leisurely pace—in fact, sometimes too slow for some sports fans. What contributes to the length of a major league baseball game? The file BaseballTimes contains information from a sample of 30 games to help build a model for the time of a game (in minutes). Potential predictors include:
Runs ...........Total runs scored by both teams
Margin .......Difference between the winner’s and loser’s scores
Hits ............Total base hits for both teams
Errors ........Total number of errors charged to both teams
Pitchers ....Total number of pitchers used by both teams
Walks ........Total number of walks issued by pitchers from both teams
(a) Use technology to find the correlation between each of the predictors and the response variable Time. Identify the predictors that appear to be potentially useful based on these correlations.
(b) Try different models and combinations of predictors to help explain the game times. Try to get a good R² and a good ANOVA p-value, but also have significant predictors. Decide on a final model and briefly indicate why you chose it.