Problem 3 The pollster assisting a candidate for political office has gathered recent week-by-week data relating the candidate's percentage approval rating by voters, y to the number of minutes that the candidate has been on TV (during the given week), x. The pollster believes that y is related to x by the relationship y = B. + B1x. The data collected by the pollster are listed below. Minutes on TV Percent approval rating 20 43 37 85 30 60 33 100 25 15 43 Part a Use linear least-squares regression to estimate the values of B, and B1. Part b Refer to Problem 3. Compute a 90% confidence interval for the value of the parameter B1. Given this confidence interval, is there a clear recommendation that the pollster should make to the political candidate regarding how much time to try to appear on TV?

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Author:Amos Gilat
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Problem 3
The pollster assisting a candidate for political office has gathered recent week-by-week data relating the
candidate's percentage approval rating by voters, y to the number of minutes that the candidate has been on
TV (during the given week), x. The pollster believes that y is related to x by the relationship y = B. + B1x.
The data collected by the pollster are listed below.
Minutes on TV
Percent approval rating
20
43
37
85
30
60
33
100
25
15
43
Part a
Use linear least-squares regression to estimate the values of B, and B1.
Transcribed Image Text:Problem 3 The pollster assisting a candidate for political office has gathered recent week-by-week data relating the candidate's percentage approval rating by voters, y to the number of minutes that the candidate has been on TV (during the given week), x. The pollster believes that y is related to x by the relationship y = B. + B1x. The data collected by the pollster are listed below. Minutes on TV Percent approval rating 20 43 37 85 30 60 33 100 25 15 43 Part a Use linear least-squares regression to estimate the values of B, and B1.
Part b
Refer to Problem 3. Compute a 90% confidence interval for the value of the parameter B1. Given this
confidence interval, is there a clear recommendation that the pollster should make to the political candidate
regarding how much time to try to appear on TV?
Transcribed Image Text:Part b Refer to Problem 3. Compute a 90% confidence interval for the value of the parameter B1. Given this confidence interval, is there a clear recommendation that the pollster should make to the political candidate regarding how much time to try to appear on TV?
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