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Exercises 1. A movie executive wants to fit a function to the data. Make a scatterplot of the data points (t, G); then use REGRESSION to fit linear, quadratic, cubic, and expo- nential functions to the data, and graph each equation with the scatterplot. Which function fits best? Why? 2. Use the exponential function to predict gross rev- enue, G, for weeks 9 through 13. Revenue for Monsters University NUMBER OF DAYS WEEK IN WEEKLY REVENUE, G TOTAL REVENUE, R SEPARATING RELEASE DATES RELEASE DATES RELEASE, t current week (or cumulative box (week 1 = June estimates, in office revenue, in Theater: Nov. 1, 2013 96 20-26, 2013) millions) millions) DVD: Feb. 4, 2014 Theater: Oct. 18, 2013 137 1. June 26 $115.33 $115.33 DVD: Mar. 4, 2014 Theater: Dec. 13, 2013 95 2. July 2 $70.57 $185.90 DVD: Mar. 18, 2014 3. July 9 $36.09 $221.99 Theater: Aug. 16, 2013 151 4. July 16 $19.23 $241.22 DVD: Jan. 14, 2014 Theater: Oct. 11, 2013 102 5. July 23 $9.72 $250.94 DVD: Jan. 21, 2014 6. July 30 $5.49 $256.43 Theater: Sept. 20, 2013 130 DVD: Jan. 28, 2014 7. Aug. 6 $2.66 $259.09 Theater: June 21, 2013 130 8. Aug. 13 $1.37 $260.46 DVD: Oct. 29, 2013 Theater: June 14, 2013 9. Aug. 20 181 DVD: Dec. 12, 2013 10. Aug. 27 Theater: May 17, 2013 116 11. Sept. 3 DVD: Sept. 10, 2013 Theater: June 21, 2013 88 12. Sept. 10 DVD: Sept. 17, 2013 13. Sept. 17 Average = 122 days, or about 4 months (Source: www.the-numbers.com.)