1. In 2015, the Blue Jays traded for Troy Tulowitzki during the middle of the season. It was estimated the Tulowitzki added 23 runs to the Blue Jays offense that season above what his replacement player would have achieved, and had zero effect on the number of runs the team gave up. In total, the Blue Jays scored 891 runs in 2015, and gave up 670 runs.

a)What was the predicted number of wins for the Blue Jays in 2015 based on the number of runs they scored and gave up according to the Pythagorean Theorem?

b)If the team had not traded for Tulowitzki, how many runs would they have been predicted to score? How many runs would they have been predicted to give up? What would have been their predicted win total for 2015 based on the Pythagorean Theorem?

c) If the Blue Jays also had also traded for Yoenis Cespedes (who would have added 10 runs on offense and had zero effect on the number of runs given up), in addition to acquiring Tulowitzki, what would have been their predicted win total based on the Pythagorean Theorem?