el, and ier game log for can be Sun the following table. Fill in the columns with Hilary's free-throw percentage for each game and her overall free-throw average after each game. Game Game Result Total Game Free-Throw Percentage Average Free-Throw Percentage 1 8/10 8/10 80 80 6/10 14/20 1/5 15/25 3/5 18/30 8/10 26/40 On the following graph, use the orange points (square symbol) to plot Hilary's free-throw percentage for each game individually, and use the green points (triangle symbol) to plot her overall average free-throw percentage after each game. Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically.
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- Consider the following scenario to understand the relationship between marginal and average values. Suppose Sam is a professional basketball player, and his game log for free throws can be summarized in the following table. Fill in the columns with Sam's free-throw percentage for each game and his overall free-throw average after each game. Game Result Total Game Free-Throw Percentage Average Free-Throw Percentage Game 1 8/10 80 12/20 14/28 16/32 22/40 2 3 4 5 8/10 4/10 2/8 2/4 6/8 80 On the following graph, use the orange points (square symbol) to plot Sam's free-throw percentage for each game individually, and use the green points (triangle symbol) to plot his overall average free-throw percentage after each game. Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically.Consider the following scenario to understand the relationship between marginal and average values. Suppose Jake is a professional basketball player, and his game log for free throws can be summarized in the following table. Fill in the columns with Jake's free-throw percentage for each game and his overall free-throw average after each game. Game Game Result Total Game Free-Throw Percentage Average Free-Throw Percentage 8/10 8/10 80 80 4/10 12/20 2/8 14/28 4 2/4 16/32 6/8 22/40The following scenario examines the relationship between marginal and average values. Suppose Parker is a high school basketball player. The following table presents their game-by-game results for foul shots. Fill in the columns with Parker's foul-shooting percentage for each game and their overall foul-shooting average after each game. Game Game Result Total Game Foul-Shooting Percentage Average Foul-Shooting Percentage 1 4/5 80 2 3 4 5 FREE-THROW PERCENTAGE 100 On the following graph, use the orange points (square symbol) to plot Parker's foul-shooting percentage for each game individually, and use the green points (triangle symbol) to plot Parker's overall average foul-shooting percentage after each game. Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically. 90 80 70 60 50 40 30 20 10 0 4/5 2/5 1/4 1/2 4/4 0 6/10 7/14 8/16 12/20 1 2 GAME 0000 3 5 Game Foul-Shooting Percentage Average Foul-Shooting Percentage…
- 64. (This problem assumes knowledge of the basic rulesof baseball.) George Lindsey (1959) looked at boxscores of more than 1000 baseball games and foundthe expected number of runs scored in an inning foreach on-base and out situation to be as listed in the fileP09_64.xlsx. For example, if a team has a man on firstbase with one out, it scores 0.5 run on average untilthe end of the inning. You can assume throughout thisproblem that the team batting wants to maximize theexpected number of runs scored in the inning.a. Use this data to explain why, in most cases,bunting with a man on first base and no outs isa bad decision. In what situation might buntingwith a man on first base and no outs be a gooddecision?b. Assume there is a man on first base with one out.What probability of stealing second makes an attempted steal a good idea?when selecting the lineup for relays, teams start with the slowest runner and finishwith the fastest. In Beijing 2008, Jamaica were the hot favorites to win the 4 X 100 since theUK and USA were disqualified in the semis. Moreover, Usain Bolt came into the lineup. Thisleft the Jamaicans to make a key decision: Which position should they run Bolt? Look at thesplits both Bolt and Asafa Powell had and mention which position each runner should havecome in in race time.Consider the following scenario to understand the relationship between marginal and average values. Suppose Brian is a professional basketball player, and his game log for free throws can be summarized in the following table. Fill in the columns with Brian's free-throw percentage for each game and his overall free-throw average after each game. Game Game Result Total Game Free-Throw Percentage Average Free-Throw Percentage 1 4/5 4/5 80 80 2/5 6/10 1/4 7/14 1/2 8/16 4/4 12/20 On the following graph, use the orange points (square symbol) to plot Brian's free-throw percentage for each game individually, and use the green points (triangle symbol) to plot his overall average free-throw percentage after each game. Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically. 100 90 Game Free-Throw Percentage 80 70 60 Average Free-Throw Percentage PERCENTAGE
- Question 48 The fact that humans are ultrasocial means that: O we're bad at avoiding COVID-19 we tend to see faces on random things, like floor tiles or pieces of wood we didn't spend time around strangers until the internet was invented O A& B O A& CConsider the following scenario to understand the relationship between marginal and average values. Suppose Shen is a professional basketball player, and his game log for free throws can be summarized in the following table. Fill in the columns with Shen's free-throw percentage for each game and his overall free-throw average after each game. Game Game Result Total Game Free-Throw Percentage Average Free-Throw Percentage 1 8/10 8/10 80 80 6/10 14/20 3 1/5 15/25 4 3/5 18/30 8/10 26/40 On the following graph, use the orange points (square symbol) to plot Shen's free-throw percentage for each game individually, and use the green points (triangle symbol) to plot his overall average free-throw percentage after each game. Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically. 100 90 Game Free-Throw Percentage 80 70 Average Free-Throw Percentage RCENTAGE3. The relationship between marginal and average costs The following scenario examines the relationship between marginal and average values. Suppose Nalah is a high school basketball player. The following table presents their game-by-game results for foul shots. Fill in the columns with Nalah’s foul-shooting percentage for each game and their overall foul-shooting average after each game. Game Game Result Total Game Foul-Shooting Percentage Average Foul-Shooting Percentage 1 8/10 8/10 80 80 2 4/10 12/20 3 2/8 14/28 4 2/4 16/32 5 6/8 22/40 On the following graph, use the orange points (square symbol) to plot Nalah’s foul-shooting percentage for each game individually, and use the green points (triangle symbol) to plot Nalah’s overall average foul-shooting percentage after each game. Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically.…
- 3. The relationship between marginal and average costs The following scenario examines the relationship between marginal and average values. Suppose Piper is a high school basketball player. The following table presents their game-by-game results for foul shots. Fill in the columns with Piper's foul-shooting percentage for each game and their overall foul-shooting average after each game. Game Game Result Total Game Foul-Shooting Percentage Average Foul-Shooting Percentage 1 8/10 80 2 14/20 15/25 18/30 26/40 3 4 5 FREE-THROW PERCENTAGE On the following graph, use the orange points (square symbol) to plot Piper's foul-shooting percentage for each game individually, and use the green points (triangle symbol) to plot Piper's overall average foul-shooting percentage after each game. Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically. 100 90 80 70 60 50 40 30 20 10 0 8/10 6/10 1/5 3/5 8/10 0 2 80 GAME Game…Football weights The Sears Cup was established in 1993to honor institutions that maintain a broad-based athleticprogram, achieving success in many sports, both men’sand women’s. Since its Division III inception in 1995, thecup has been won by Williams College in every yearexcept one. Their football team has a 85.3% winningrecord under their current coach. Why does the footballteam win so much? Is it because they’re heavier thantheir opponents? The table shows the average teamweights for selected years from 1973 to 1993.a) Fit a straight line to the relationship between Weightand Year.b) Does a straight line seem reasonable?c) Predict the average weight of the team for the year2003. Does this seem reasonable?d) What about the prediction for the year 2103? Explain.e) What about the prediction for the year 3003? Explain. Year Weight (lb) Year Weight (lb)1973 185.5 1983 192.01975 182.4 1987 196.91977 182.1 1989 202.91979 191.1 1991 206.01981 189.4 1993 198.7] Suppose that a football team is holding tryouts for various positions. A certain playertries out for both offensive line and defensive line. He ends up making the team as an offensivelineman. However, he is actually better at the defensive position. He is puzzled by this so he asksthe coach to explain. What do you think the coach told the player? Relate this to an economicconcept or concepts we have discussed.