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2 BSC Super Bowl andR2Letxrepresent years coded as 1, 2,

Chapter 10, Problem 2BSC

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QUESTION:

?2 BSC Super Bowl and?R2?Let?x?represent years coded as 1, 2, 3, . . . for years starting in 1980, and let ?y? represent the numbers of points scored in each Super Bowl from 1980. Using the data from 1980 to the last Super Bowl at the time of this writing, we obtain the following values of?R2?for the different models: linear: 0.0185; quadratic: 0.103; logarithmic: 0.000557; exponential: 0.0253; power: 0.00264. Based on these results, which model is best? Is the best model a good model? What do the results suggest about predicting the number of points scored in a future Super Bowl game?

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QUESTION:

?2 BSC Super Bowl and?R2?Let?x?represent years coded as 1, 2, 3, . . . for years starting in 1980, and let ?y? represent the numbers of points scored in each Super Bowl from 1980. Using the data from 1980 to the last Super Bowl at the time of this writing, we obtain the following values of?R2?for the different models: linear: 0.0185; quadratic: 0.103; logarithmic: 0.000557; exponential: 0.0253; power: 0.00264. Based on these results, which model is best? Is the best model a good model? What do the results suggest about predicting the number of points scored in a future Super Bowl game?

ANSWER:

Solution 2 BSC Step 1: Let X represents the years coded as 1,2,3,... and Y represents the number of points scored in each super bowl from 1980. Coefficient of determination

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