What was the SUM of the SEEDS of your selected teams?

You have just received the ball on your own 25 after a kickoff.  You have 3 choices on first and 10: 1) Run the ball for an absolutely guaranteed 3 yard gain (setting up 2nd and 7 on the 28) 2) Pass the ball for exactly 8 yards.  This play has a 40% chance of success (60% chance of incomplete).  Success means 2nd and 2 on the 33 and failure means 2nd and 10 on the 25. 3) Go for a 20 yard pass that has a 20% chance of success (setting up 1st and 10 at the 45 after success and 2nd and 10 at the 25 after failure). Which option do you choose? Use Winston’s Football State Values.

According to Draftkings Sportsbook odds, Kyle McCord is +1500 to win the Heisman next year.  What is the implied probability he wins?   Report your answer as a decimal to 4 places.

Run the following linear regression was run to predict Wins in the MLB from 2015-2022 (minus 2020) based on the following statistics: OPS: On-base percentage + Slugging percentage WHIP: Walks + hits given up per inning pitched (You can copy this code directly into your R session–and should have done so prior to the quiz) teams15_22 %filter(yearID >= 2015, yearID !=2020) %>%mutate(OBP = (H + BB + HBP)/(AB + BB + HBP + SF), SLG = (H + X2B + 2 * X3B + 3 * HR)/AB,OPS = OBP + SLG,WHIP = (BBA + HA)/(IPouts/3)) The standard deviations of OPS and WHIP are 0.037 and 0.096 respectively. If I could take an average team in OPS and WHIP to the 84th percentile (one standard deviation above or below average—since low WHIP is better) in one (and only one) of the two statistics, which would I prefer? (i.e., would I get more wins by increasing OPS by one standard deviation or decreasing WHIP by one standard deviation?)—Check Mathletics Ch. 18 (This isn’t as hard as you may think!) First, how many additional wins would I expect to get if I increased my team OPS by 1 standard deviation? Report your answer to 2 decimal places.

You have just received the ball on your own 25 after a kickoff.  You have 3 choices on first and 10: 1) Run the ball for an absolutely guaranteed 3 yard gain (setting up 2nd and 7 on the 28)   2) Pass the ball for exactly 8 yards.  This play has a 40% chance of success (60% chance of incomplete).  Success means 2nd and 2 on the 33 and failure means 2nd and 10 on the 25.  3) Go for a 20 yard pass that has a 20% chance of success (setting up 1st and 10 at the 45 after success and 2nd and 10 at the 25 after failure).  Use Winston’s Football State Values. What are the expected values of the three options? Report the answer to 2 decimal places.  (PLEASE ONLY REPORT 2 DECIMAL PLACES TO AID THE GRADER) 1) Run 2) Short Pass 3) Long Pass    

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Run the simple rating system on the WNBA data from last year including ONLY margin of victory (offense/defense not needed). Who was the highest rated team?

What was the rating of the best team? Report your answer to 2 decimal places.

Run an offense/defense rating model on the WNBA teams. Which team had the best offense?  Which team had the best defense?

The traditional Pythagorean developed by Bill James used an exponent of 2 for baseball and we’ll use this exponent. In the 2023 season, the Reds scored 783 runs and allowed 821 runs.  Let’s assume the lineup as constructed would repeat this output next year. Suppose the Reds had their choice of 2 players: 1) Cody Bellinger: accounted for 15 more runs than an average player due to his batting and baserunning and PREVENTED opponents from scoring 7 more run than an average fielder would have (i.e., he increases runs scored by 15 and DECREASES runs allowed by 7) 2) Blake Snell: allowed 20 fewer runs than an average pitcher and has no effect on the batting as the pitcher spot doesn’t hit.   What would the Pythagorean predict as the win% for the Reds if they replace an average player with Bellinger? Report your answer as a decimal to 4 places: i.e., 20.34% should be entered as .2034