Michigan and Michigan State play each other this Saturday in football. Based on data from ESPN, Michigan averages 38.1 points per game with a SD of 8.4 and average 424 yards gained per game with a SD of 72. The correlation between points scored and yards gained is 0.68. Thus: Average points = 38.1, SD= 8.4
Average yards gained = 424, SD= 72, r = 0.68
Find the slope of the regression equation for predicting number of points scored based on average yards gained per game). Report your answer to 4 decimal places.
If Michigan gains 500 yards in the game against Michigan State, what is Michigan's predicted points scored? Round to the nearest whole number.