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toxsicity
toxsicity
23.05.2020 • 
Mathematics

In a sport like basketball, there is always a preference given to taller players since it is widely believed that taller players tend to perform better than shorter players. However, if one looks at the history of NBA, there have been instances when players with relatively shorter heights have performed exceedingly well. Michael, an ardent follower of this game, is interested in understanding the relationship between a player's height and how well he performs. Accordingly, he collects data on the heights of 105 shooting guards and the number of points they scored in a tournament. The estimated regression function is: P = 0.90 + 0.71H, where Pi is the predicted value of the number points scored by the ith player in the tournament and H; is the height of the ith player measured in inches. Michael wants to check how well his OLS regression line fits the data before arriving at any conclusion. From the sample data, he makes the following calculations = 78.45. i= 1 2 (2. - )2 =78.45. 2 (2,-2) 2 = 103.47. The regression R is: .

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