During the 1990s the percentage of TV households viewing cable and satellite TV programs increased while the percentage viewing network affiliate shows (ABC, CBS, NBC, and FOX) generally decreased. The following table shows the primetime ratings for the network affiliates in the years 1993 and 1998. (In the table the rating percentage is defined as the percentage of TV households viewing a TV program in an average minute.)t Primetime Ratings for Network Affiliates x (year) y (rating percentage) 1993 40.2 1998 31.4 (a) Find the equation of the linear function whose graph passes through the two (x, y) points given in the table. (Round terms to two decimal places.) y = (b) Use a graphing utility to graph the line in part (a). Then use a TRACE or ZOOM feature to estimate what the rating percentage might have been for the year 2008. (Round your answer to one decimal place.) % (c) Compute the percentage error in the estimate in part (b), given that the actual figure for 2008, according to Nielsen Media Research, was 26.9. (Round your answer to one decimal place.) %

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.4: Scatter Plots And Line Of Fit
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During the 1990s the percentage of TV households viewing cable and satellite TV programs increased while the percentage viewing network affiliate shows (ABC, CBS, NBC, and FOX) generally
decreased. The following table shows the primetime ratings for the network affiliates in the years 1993 and 1998. (In the table the rating percentage is defined as the percentage of TV households
viewing a TV program in an average minute.)†
Primetime Ratings for Network Affiliates
x (year)
y (rating percentage)
1993
40.2
1998
31.4
(a) Find the equation of the linear function whose graph passes through the two (x, y) points given in the table. (Round terms to two decimal places.)
y =
(b) Use a graphing utility to graph the line in part (a). Then use a TRACE or ZOOM feature to estimate what the rating percentage might have been for the year 2008. (Round your answer to
one decimal place.)
%
(c) Compute the percentage error in the estimate in part (b), given that the actual figure for 2008, according to Nielsen Media Research, was 26.9. (Round your answer to one decimal place.)
Transcribed Image Text:During the 1990s the percentage of TV households viewing cable and satellite TV programs increased while the percentage viewing network affiliate shows (ABC, CBS, NBC, and FOX) generally decreased. The following table shows the primetime ratings for the network affiliates in the years 1993 and 1998. (In the table the rating percentage is defined as the percentage of TV households viewing a TV program in an average minute.)† Primetime Ratings for Network Affiliates x (year) y (rating percentage) 1993 40.2 1998 31.4 (a) Find the equation of the linear function whose graph passes through the two (x, y) points given in the table. (Round terms to two decimal places.) y = (b) Use a graphing utility to graph the line in part (a). Then use a TRACE or ZOOM feature to estimate what the rating percentage might have been for the year 2008. (Round your answer to one decimal place.) % (c) Compute the percentage error in the estimate in part (b), given that the actual figure for 2008, according to Nielsen Media Research, was 26.9. (Round your answer to one decimal place.)
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