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Which variable is the “most” significant? Explain in 1 sentence why this makes sense

SHOW WORK ON SHEET FOR PARTIAL CREDIT   This question is a bit involved so it is worth 3 points: Order the positions (P, C, 1B, 2B, SS, 3B, OF) from highest average fielding percentage to lowest average fielding percentage since 1950.  Only include players with more than 100 fielding attempts. Hints: Start with the Fielding table Create a variable: fielding_attempts = PO + A + E   (This is putouts + assists + errors) Create a variable: fielding_percentage = (PO + A) / fielding_attempts Filter according to the constraints Group and summarize the statistics accordingly.   Paste your final results below and include a few sentences explaining the positions at the top and bottom.  If you get stuck on your code, feel free to paste what you have for partial credit. My code is 6 lines of piped code (including the data line and the arrange).  Yours can be longer (or shorter) if needed OR you can do the analysis in another program.

Data was collected on every quarterback drafted in the NFL from 2000-2017 who started at least 5 games in his career (during that stretch).  The goal is to predict which players will make a Pro Bowl at some time in their career.   The following variables were used as predictors: YearsStarting: Number of years as the primary starter PassTD/GS: Passing Touchdowns per game started Int/GS: Interceptions per game started RushTD/GS: Rush TD per game started Comp%: Completion % DrAge: Age at the draft Pick: Number selected in the draft (lower number is a ‘higher’ pick) Response: ProBowlEver?: Did the player ever make a pro bowl? (1: yes 0: no) Using the output, which variables are significant at the alpha = 0.1 level? List all significant variables and circle the ‘most’ significant variable. Explain why this makes sense.

Run the following linear regression was run to predict Wins in the MLB from 2015-2018 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_18 %filter(yearID >= 2015) %>%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)) lm(W ~ OPS + WHIP, teams15_18) %>%summary()   What proportion of variability in wins is explained by the model (i.e., how much variation in wins is explained by those two statistics? Report your answer to 4 decimal places

The Ohio State Baseball team is looking at a few promotions to enhance attendance.  Unfortunately, weather can keep people away regardless of the pull of a bobblehead.  Below, you can find the expected profit from various promotion/weather combos (remember, promotions cost money that can’t be recouped if the tickets aren’t sold).   Weather   Very Hot yet Sunny Comfortable Rainy No Promotion $15,000 $20,000 $10,000 Bobblehead giveaway $25,000 $35,000 $0 Dime-a-dog $30,000 $30,000 $1,000 Kid’s free $20,000 $25,000 $2,000 What is the maximin strategy?

SHOW WORK ON SHEET FOR PARTIAL CREDIT The traditional Pythagorean developed by Bill James used an exponent of 2 for baseball and we’ll use this exponent. In the 2024 season, the Guardians scored 708 runs and allowed 621 runs.  Let’s assume the lineup as constructed would repeat this output next year. Suppose the Guardians had their choice of 2 players: 1) Juan Soto: accounted for 58 more runs than an average player due to his batting and baserunning and ALLOWED the opponent to score 6 more runs than an average fielder would have (i.e., he increases runs scored by 58.4 and INCREASES runs allowed by 6) 2) Blake Snell: allowed 14 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 Guardians if they replace an average player with Snell? Report your answer as a decimal to 4 places: i.e., 20.34% should be entered as .2034

SHOW WORK ON SHEET FOR PARTIAL CREDIT Examine the Lahman database (specifically the Batting table).  If you do not recognize the playerID, you may simply enter it as is. Who has grounded into the most strikeouts (SO) in their career only counting years from 1900 on? Recommend using group_by and summarize (in addition to a few more) Player: [player] Number of SO: [num]   For example: If the answer is Babe Ruth with 400 SO, enter “Babe Ruth” or “ruthba01” and “SO”

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.   Based on your previous 2 answers, who would you sign assuming cost and position needs are equivalent?

39.The nurse should reinforce with the client to call her provider if she experiences which of the following manifestations?  

32. The nurse understands that indications for an ultrasound include: Select All That Apply.