1. (a) A television executive selects 10 television shows and compares the average number of viewers the show had last year with the average number of viewers this year. The data (in millions) are shown. Viewers last year (X) 26.6 | 17.85 | 20.3 16.8 20.8 16.7| 19.1 18.9 16.0 15.8 Viewers this year (Y) 28.9 19.2 26.4 13.7 20.2 18.8 25.0 21.0 16.8 15.3 Describe the relationship by means of a suitable graphical representation. Is it lineur or non- linear? i How strong the relationship is? i. Obtain an equation to estimate the viewers this year for a TV show which had 20.2 million viewers last year. iv. Plot and examine the residuals obtained from the equation in (c). Can the equation be considered a good model for estimation?

MATLAB: An Introduction with Applications
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O T O
1. (a) A television executive selects 10 television shows and compares the average number of viewers
the show had last year with the average number of viewers this year. The data (in millions) are
shown.
Viewers last year (X)
26.6 17.85 20.3 16,8 20.8 16.7 19.1| 18.9 16.0 15.8
Viewers this year (Y) 28.9 19.2 26.4 13.7 20.2 18.8 25.O 21.0 16.8 15.3
i.
Describe the relationship by means of a suitable graphical representation. Is it linear or non-
linear?
How strong the relationship is?
iii.
Obtain an equation to estimate the viewers this year for a TV show which had 20.2 million
viewers last year.
iv.
Plot and examine the residuals obtained from the equation in (c). Can the equation be
considered a good model for estimation?
1. (b) The article "Who Wants Airbags" in Chance 18 (2005): 3-16 discusses whether air bagsshould
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Transcribed Image Text:O T O 1. (a) A television executive selects 10 television shows and compares the average number of viewers the show had last year with the average number of viewers this year. The data (in millions) are shown. Viewers last year (X) 26.6 17.85 20.3 16,8 20.8 16.7 19.1| 18.9 16.0 15.8 Viewers this year (Y) 28.9 19.2 26.4 13.7 20.2 18.8 25.O 21.0 16.8 15.3 i. Describe the relationship by means of a suitable graphical representation. Is it linear or non- linear? How strong the relationship is? iii. Obtain an equation to estimate the viewers this year for a TV show which had 20.2 million viewers last year. iv. Plot and examine the residuals obtained from the equation in (c). Can the equation be considered a good model for estimation? 1. (b) The article "Who Wants Airbags" in Chance 18 (2005): 3-16 discusses whether air bagsshould Filters Add a caption.. о
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