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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola
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BSC Interpreting R2In Exercise, the quadratic model

Chapter 10, Problem 3BSC

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QUESTION:

BSC Interpreting ?R?2?In Exercise, the quadratic model results in ?R?2?=?0.103. Identify the percentage of the variation in Super Bowl points that can be explained by the quadratic model relating the variable of year and the variable of points scored.(?Hint:?See Example.) What does the result suggest about the usefulness of the quadratic model? Exercise 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? Example Example 1

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QUESTION:

BSC Interpreting ?R?2?In Exercise, the quadratic model results in ?R?2?=?0.103. Identify the percentage of the variation in Super Bowl points that can be explained by the quadratic model relating the variable of year and the variable of points scored.(?Hint:?See Example.) What does the result suggest about the usefulness of the quadratic model? Exercise 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? Example Example 1

ANSWER:

Solution 3 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 which measures the variation in Y variable correspondi

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