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One of these solutions is correct. Which is it? (You do NOT need to solve the problem.  Just check the options given for feasibility — satisfying the constraints — and optimization). I recommend you fill out all the constraints prior to solving this question

Run the simple rating system on the WNBA data from last year including ONLY margin of victory (offense/defense not needed). What was the value of home court advantage?

Important:  The answers you provide to questions on this quiz are to be the result of your own work, and without input from any other student or source other than your own course materials.  Any sharing of questions and/or answers in any way, shape or form will be considered academic misconduct.  Posting or sharing these questions electronically at any time is strictly forbidden.  Any use of Open AI sources (i.e., ChatGPT, Bard, etc.) is explicitly prohibited.  I have read and agree to these instructions.

In competitive diving, the score a diver receives for a dive based on the execution of the dive as well as the degree of difficulty. While attempting to qualify for the Olympics, Ty Neesplash has two dives from which to choose.  The relatively easy dive will be completed 100% of the time with an expected score of 80 points.  The more difficult dive if completed successfully carries an expected score of 92 points, but if failed, carries an expected score of 55 points.  What is the requisite probably of success of the difficult dive to justify attempting it? Report 3 decimal places.

Based on KenPom ratings, OSU is 6.5 points better than TTUN (That Team Up North–M!ch!g@n) on a neutral court, and margin of victory in NCAA basketball is approximately normally distributed with a standard deviation of 10 points. If the NCAA home court advantage is 4 points, what was the chance the Buckeyes won the game in Columbus vs. UM 2/29?  Assume that the home team (OSU) will have a 60% chance of winning in OT. This is the same as asking the probability OSU outscores UM over the period of 40 minutes (the whole game). This makes the numbers a little easier. Report 3 decimals in your final answer  

Suppose pitcher A and pitcher D had major problems this offseason and your GM says they are definitely off the table (i.e., they will not be acquired under any circumstances).  Which of the following is definitely true? You may select more than one. Hint: I do NOT want you to solve this new linear program.  Just state what happens by adding these new constraints.

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.

Using the output, give the PROBABILITY (not the logit probability) that Joe Burrow makes the Pro Bowl if he starts for 2 more years (5 total years starting) and continues his current stats of 1.95 Pass TD/game, 0.74 Int/game, 0.24 Rush TD/game, Comp%=0.682. Recall he was the 1st overall pick and was 24 years old at the draft. Use all variables regardless of their significance in question 7.  Enter your answer as a decimal to 2 places.  i.e., 26% = .26

How would you write constraint 4?