[All Steps] The following is the result of a multiple regression analysis to predict costs from Circ, Income, and Male. The prediction equation is: Costs


Question: The following is the result of a multiple regression analysis to predict costs from Circ, Income, and Male.

The prediction equation is:

Costs = -8642.5352

+ 5.281485 Circ

+ 1.222643 Income

- 10.997406 Male

0.69422 R Squared

13129.253 Standard Error of Estimate

48 Number of Observations

33.29751 F Statistic

2.162E-11 p value

95% 95%
Coeff LowerCI UpperCI StdErr t p
Constant -8642.54 -33414.26 16129.19 12291.42 -0.7031 0.4857
Circ 5.2815 4.2126 6.3504 0.5304 9.9581 0.0000
Income 1.2226 0.1435 2.3018 0.5355 2.2833 0.0273
Male -10.9974 -166.5770 144.5821 77.1966 -0.1425 0.8874

The above is a regression analysis on data concerning advertising costs in 48 magazines. The variables are:

Costs Cost of a full page color ad

Circ Magazine circulation in thousands

Income Median income of the subscribers

Male Percentage of subscribers who are male

  1. Which of the three x-variables is the most important predictor in the model? Why was this chosen over the other two x-variables?
  2. According to the given output, what would be the eventual effect of a 1000 person increase in circulation. Give an interval estimate.
  3. What cost does the model predict for an ad in the magazine, which has a circulation of 1 million and an audience that is 58% male with a median income of $32,000/year? Give an interval estimate if possible. Simply set up the calculations.
  4. Regardless of the answer in #3, suppose the calculation yields an estimated cost of $34,132. You find out the actual cost of an ad in the magazine is $49,000. Do you agree that this does not look like an accurate prediction? Cite specific numerical evidence to support the answer.

Price: $2.99
Solution: The downloadable solution consists of 3 pages
Deliverable: Word Document

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