?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?
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 which measures the variation in Y variable corresponding to the X variable. The coefficient of determination is given for models, linear, quadratic, logarithmic, exponential and power. The Quadratic model (0.103) is the best model compared to other models. Almost 10.30% of the variation in the number of points scored in the super bowl from 1980.
