The bar graph shows the ratings of American Idol from season I (2002) through season 9

Chapter 3, Problem 86

(choose chapter or problem)

The bar graph shows the ratings of American Idol from season I (2002) through season 9 (2010). A.mf'ritall Idol: Eacb ~on's Champion and Anrdge Nwuber of Viewers 35 30.4 30.1 30 25 20 IS 10 s ~ Ruben Fantasia Carrie Cla son Studdard Barrino Underwood Taylor Jordin David Kris Lee Hicks Sparks Olok Allen De\Vyze a. Let x represent American /dofs season number and let y represent the average number of \~ewe s, in millions. Use a graphing utility to draw a scatter plot of the data. Explain why a quadratic function is appropriate ror modeling these data. b. Use the q uadratic regression feature to find the quadratic function that best fits the data. Round all numbers to two decimal places.. c. Use the model in part (b) to determine the season in which Americ.an Idol had the greatc.o.;t number or viewers. Round to the nearest whole number. Aocording to the model, how many millions of viewers were there in that se.ason? Round to one decimal place. d. How do the results obtained from the model in part (c) compare with the data displayed by the graph? e. Use a graphing utility to d raw a scatter plot of the data and graph the quadratic function of best fit on the scatter plot. Can you sec why projections based on the graph have the producers of American /do/ looking for a shake -up?