Concept explainers
The bar graph Shows the ratings of American Idol from season 1 (2002) through season 12 (2013).
American Idol: Each Season’s Champion and Average Number of Viewers
Source: Nielsen
a. Let x represent American Idol's season number and let y represent the average number of viewers, in millions. Use a graphing utility to draw a
b. Use the quadratic 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 American Idol had the greatest number of viewers. Round to the nearest whole number. According to the model, how many millions of viewers were there in that season? 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 draw a scatter plot of the data and graph the quadratic function of best fit on the scatter plot. Can you see why projections based on the graph had the producers of American Idol looking for a shake-up? No shake-up was found and the show's final season aired in 2016.
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
MyLab Math with Pearson eText -- Standalone Access Card -- for College Algebra (7th Edition)(Outer package may vary)
- Sales Barnes & Noble had annual sales of $6.8 billion in 2013 and $6.1 billion in 2015. Use the Midpoint Formula to estimate the sales in 2014. Assume that the annual sales followed a linear pattern.arrow_forwardDoes Table 2 represent a linear function? If so, finda linear equation that models the data.arrow_forwardFor the revenue model in Exercise 10.206 and Exercise 10.210, explain what the x-intercepts mean to the backpack retailer.arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningElementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice UniversityAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage