A consumer affairs group wants to examine the relationship between interest in public affairs, TV viewing (in
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Question:
A consumer affairs group wants to examine the relationship between interest in public affairs, TV viewing (in # hours/week), newspaper/magazine readership (in # minutes/day), and the network news channel most frequently watched (ABC, CBS, or NBC). A pilot study has been conducted and the sample results are given in the EXCEL worksheet Viewing:
- The qualitative variable, most frequently watched network, has to be dummy coded in a regression model. Define the required dummy variables and a coding scheme for this variable. USE "ABC" as the baseline class.
- Develop a regression model to predict interest in public affairs, using TV viewing, newspaper/magazine reading, and most frequently watched network (as dummy coded in part a)) as independent variables.
- What is the regression equation?
- What proportion of total variation in the interest in public affairs can be explained by these three factors in the regression model?
- Using the regression model developed above, give the regression equation that relates interest in public affairs to TV viewing and magazine/newspaper reading for the viewers who watched NBC network news channel most frequently.
- Provide a point estimator for the interest in public affairs of an individual viewer who views TV 45 hours/week, reads magazine/newspaper 25 minutes/day and watches NBC network most frequently.
- Do you think the prediction in part 6) would be highly reliable? Explain (using Check for extrapolation test).
- Does the qualitative factor, most frequently watched network, appear to have any significant effect on the interest in public affair? Explain.
- Do you have a recommendation for a better model, based on your insights in part (8)?
- Check the model assumption about the error term?
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