Imagine you decide you want to get into sports gambling to lose some extra money. In...

  

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Imagine you decide you want to get into sports gambling to lose some extra money. In every sport, odds makers in Las Vegas will try to predict which team will win a game, and how many points they are likely to beat the opponent by. This amount of points the winning team will beat the opponent by is called "the spread." When you bet on sports, if you want to bet on the team the odds makers believe will win the game (i.e., the favored team), you must determine if you believe that team will win the game by more points than predicted (i.e., they will "beat the spread") or win by fewer points than predicted (i.e., they will not beat the spread). To help you make smarter bets on whether the favored team will beat the spread, you decide to bust out your statistical knowledge. You look up data for several past basketball games in which the winning team won the game and how many points they won the game by. Your research reveals that the difference in average player heights for the two teams is a pretty good predictor how many points the favored team wins by. Below is the data you found in your research. With this data, do the following: Create a scatterplot of the relationship between how many points the favored team wins by and difference in average player heights. Create a regression equation to predict how many points the favored team will win by based on difference in average player heights. PLOT the regression line in your scatterplot. Make sure you show me the 2 points you are using to figure out where to draw your regression line. Please indicate each of those 2 points using an "X" within the scatterplot. There is an upcoming championship basketball game between Pretentious University and Arrogance College. Pretentious U is favored to win the game by 8 points. The average height difference between both team players has the Pretentious U players 2.40 inches taller than the Arrogance College players. Using your regression equation, predict how many points Pretentious U will win the championship game by. Based on this prediction, should you bet that Pretentious U will "cover the spread" or that they will not cover the spread? Average height difference between teams (inches) Points favored team won by 1.27 3 3.54 12 0.86 6 2.27 10 4.48 11 4.80 8 3.67 9 3.76 6 1.62 4 0.53 2 2.11 8 4.34 7 4.92 14 4.79 10 2.51 6 4.91 15 2.13 7 3.13 3 3.03 8 1.11 5 Imagine you decide you want to get into sports gambling to lose some extra money. In every sport, odds makers in Las Vegas will try to predict which team will win a game, and how many points they are likely to beat the opponent by. This amount of points the winning team will beat the opponent by is called "the spread." When you bet on sports, if you want to bet on the team the odds makers believe will win the game (i.e., the favored team), you must determine if you believe that team will win the game by more points than predicted (i.e., they will "beat the spread") or win by fewer points than predicted (i.e., they will not beat the spread). To help you make smarter bets on whether the favored team will beat the spread, you decide to bust out your statistical knowledge. You look up data for several past basketball games in which the winning team won the game and how many points they won the game by. Your research reveals that the difference in average player heights for the two teams is a pretty good predictor how many points the favored team wins by. Below is the data you found in your research. With this data, do the following: Create a scatterplot of the relationship between how many points the favored team wins by and difference in average player heights. Create a regression equation to predict how many points the favored team will win by based on difference in average player heights. PLOT the regression line in your scatterplot. Make sure you show me the 2 points you are using to figure out where to draw your regression line. Please indicate each of those 2 points using an "X" within the scatterplot. There is an upcoming championship basketball game between Pretentious University and Arrogance College. Pretentious U is favored to win the game by 8 points. The average height difference between both team players has the Pretentious U players 2.40 inches taller than the Arrogance College players. Using your regression equation, predict how many points Pretentious U will win the championship game by. Based on this prediction, should you bet that Pretentious U will "cover the spread" or that they will not cover the spread? Average height difference between teams (inches) Points favored team won by 1.27 3 3.54 12 0.86 6 2.27 10 4.48 11 4.80 8 3.67 9 3.76 6 1.62 4 0.53 2 2.11 8 4.34 7 4.92 14 4.79 10 2.51 6 4.91 15 2.13 7 3.13 3 3.03 8 1.11 5