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# ANOVA, Chi square and regression analysis

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11.2 One particular morning, the length of time spent in the examination rooms in recorded for each patient seen by each physician at on orthopedic clinic. Doe the data prove a significant difference in mean times? Physicians: Time in Examination Rooms (minutes)

Physician 1 Physician 2 Physician 3 Physician 4
34 33 17 28
25 35 30 33
27 31 30 31
31 31 26 27
26 42 32 32
34 33 28 33
21 26
29

12.60 Below are revenue and profit (both in \$ billions) for nine large entertainment companies. (a) Make a scatter plot of profit as a function of revenue. (b) Use Excel to fit the regression, with fitted equation and R2. (c) in your own words, describe the (Data are from Fortune 149, no. 7 [April 5, 2005], p. F-50) Entertainment

Revenue and Profit of Nine Entertainment Companies

Company Revenue Profit
AMC Entertainment 1.792 -0.020
Clear Channel Communication 8.931 1.146
Liberty Media 2.446 -0.978
Metro-Goldwyn-Mayer 1.883 -0.162
Regal Entertainment Group 2.490 0.185
Time Warner 43.877 2.639
Univision Communications 1.311 0.155
Viacom 26.585 1.417
Walt Disney 27.061 1.267

1. (a) List two limitations of bivariate regression. (b)Why is estimating a multiple regression model just as easy as bivariate regression?

Exercise 15.6 is a Chi-Square

15.6 Advertisers need to know which age groups are likely to see their ads. Purchasers of 120 copies of Cosmopolitan are shown by age group. (a) Make a bar chart and describe it. (b) Calculate expected frequencies for each class. (c) Perform the chi-square test for a uniform distribution. At &#945; = .01, does this sample contradict the assumption that readership is uniformly distributed among these six age groups? (See J. Paul Peter and Jerry C. Olson, Consumer Behavior and Marketing Strategy, 9th ed. [McGraw-Hill, 2004], p. 300.) Cosmo

Purchaser Age Units Sold
18-24 38
25-34 28
35-44 19
45-54 16
55-64 10
65+ 9
Total 120