Run the following linear regression was run to predict Wins in the MLB from 2015-2023 (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_23 %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.

J. J. Spaun won the U.S. Open at Oakmont by shooting a birdie on 18.  This is a 502 yard par 4. We will assume the expected shots to hole out is 4.32 from the tee (this is the average over all rounds).  His shots are as follows: Blasts his drive 312 yards into the fairway.  He is about 190 yards out and his expected shots remaining from here is 3.1 Reaches the green in 2 but is 64 feet away from the hole.  His expected shots from here is 2.25. Sinks a miraculous putt from 64 feet away to finish at 1 under par for the tournament. What were the strokes gained from the putt? Enter negative for strokes lost (bad) and positive for a gain (good).

J. J. Spaun won the U.S. Open at Oakmont by shooting a birdie on 18.  This is a 502 yard par 4. We will assume the expected shots to hole out is 4.32 from the tee (this is the average over all rounds).  His shots are as follows: Blasts his drive 312 yards into the fairway.  He is about 190 yards out and his expected shots remaining from here is 3.1 Reaches the green in 2 but is 64 feet away from the hole.  His expected shots from here is 2.25. Sinks a miraculous putt from 64 feet away to finish at 1 under par for the tournament. What was his worst shot from a strokes gained perspective?

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

The position of a transverse sinusoidal wave is given by

A nurse is educating a client about combined oral contraceptive pills (COCPs). Which of the following findings should the nurse report to the healthcare provider immediately?

During a prenatal visit, a client admits to craving and eating soil. What is the priority nursing action?

During a routine prenatal visit, the nurse palpates the uterus and notes softening of the cervix. What type of sign is this?

Explain the key factors that influence whether people vote and how they choose between candidates.  

Knowing which person is the suspect in a line-up could create inaccurate memories during reconsolidation. 1.  What is reconsolidation and how are the hippocampus, frontal lobe and cerebral cortex involved in reconsolidation? 2.  How could knowing which person is the suspect lead to a more inaccurate memory during reconsolidation?  (Include a connection to one of the common memory problems such as absent mindedness, bias, misattribution or suggestibility).