ec 203 p1

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Boston University *

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203

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Statistics

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Feb 20, 2024

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docx

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8

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Problem Set #1 Exercises (10 th edition): #6,23,33,39,41,43. 6) TVNetworks. Nielsen Media Research tracks the top-rated television shows. The following data show the television network that produced each of the 25 top-rated shows in the history of television. a) Construct a frequency distribution, percent frequency distribution, and bar chart for the data. . tabulate Network Network | Freq. Percent Cum. ------------+----------------------------------- ABC | 6 24.00 24.00 CBS | 9 36.00 60.00 FOX | 1 4.00 64.00 NBC | 9 36.00 100.00 ------------+----------------------------------- Total | 25 100.00 0 2 4 6 8 10 ABC CBS FOX NBC b) Which networks have done the best in terms of presenting top-rated television shows? Compare the performance of ABC, CBS, and NBC. NBC and CBS did the best, ABC is the next and FOX Is the last. 23) MarketIndexes. The data show the year-to-date percent change (YTD % Change) for 30 stock-market indexes from around the world (The Wall Street Journal). a) Using a class width of 5 beginning with −20 and going to 40, develop a frequency distribution for the data. % Change | Freq. Percent Cum. ------------+----------------------------------- -16.3 | 1 3.33 3.33 -14.4 | 1 3.33 6.67 -9.3 | 1 3.33 10.00 -6.4 | 2 6.67 16.67
-4.7 | 1 3.33 20.00 -3.5 | 1 3.33 23.33 -2.5 | 1 3.33 26.67 1.3 | 1 3.33 30.00 2.3 | 1 3.33 33.33 2.6 | 1 3.33 36.67 4.2 | 1 3.33 40.00 6.4 | 1 3.33 43.33 6.6 | 2 6.67 50.00 9.3 | 1 3.33 53.33 9.9 | 1 3.33 56.67 10 | 1 3.33 60.00 10.1 | 1 3.33 63.33 10.2 | 1 3.33 66.67 10.6 | 1 3.33 70.00 11.8 | 1 3.33 73.33 12.6 | 1 3.33 76.67 13.8 | 1 3.33 80.00 14.5 | 1 3.33 83.33 16.6 | 1 3.33 86.67 17.4 | 2 6.67 93.33 21.1 | 1 3.33 96.67 31.4 | 1 3.33 100.00 ------------+----------------------------------- Total | 30 100.00 b) Prepare a histogram. Interpret the histogram, including a discussion of the general shape of the histogram. 0 .01 .02 .03 .04 -20 -10 0 10 20 30 YTD % Change 33) BrandValue. Each year Forbes ranks the world’s most valuable brands. A portion of the data for 82 of the brands in the 2013 Forbes list is shown in Table 2.12. The data set includes the variables listed below. Brand: The name of the brand.
Industry: The type of industry associated with the brand, labeled Automotive & Luxury, Consumer Packaged Goods, Financial Services, Other, Technology. Brand Value ($ billion): A measure of the brand’s value in billions of dollars developed by Forbes based on a variety of financial information about the brand. 1-Yr Value Change (%): The percentage change in the value of the brand over the previous year. Brand Revenue ($ billion): The total revenue in billions of dollars for the brand. a) Prepare a crosstabulation of the data on Industry (rows) and Brand Value ($ billion). Use classes of 0–10, 10–20, 20–30, 30–40, 40–50, and 50–60 for Brand Value ($ billion). tabulate BrandValuebillions Industry Brand | Value ($ | Industry billions) | Automot.. Consume.. Financi.. Other Technol.. | Total -----------+-------------------------------------------------------+---------- 5.4 | 0 1 0 0 0 | 1 5.5 | 1 0 0 0 0 | 1 5.6 | 0 1 1 1 0 | 3 5.7 | 1 0 2 1 0 | 4 5.8 | 0 0 0 1 0 | 1 5.9 | 0 0 0 0 1 | 1 6 | 0 0 1 0 0 | 1 6.2 | 0 1 0 0 0 | 1 6.3 | 0 0 1 0 0 | 1 6.4 | 0 0 0 3 1 | 4 6.5 | 1 0 0 0 0 | 1 6.6 | 0 0 0 0 1 | 1 6.8 | 0 0 1 0 0 | 1 6.9 | 1 0 1 1 0 | 3 7 | 2 0 0 1 1 | 4 7.1 | 1 0 0 1 0 | 2 7.4 | 1 0 1 0 0 | 2 7.7 | 0 0 1 0 0 | 1 7.9 | 0 1 0 0 0 | 1 8 | 0 0 0 0 1 | 1 8.1 | 1 0 0 0 0 | 1 8.4 | 0 0 0 1 0 | 1 8.5 | 0 0 0 1 1 | 2 8.7 | 0 1 0 0 1 | 2 9 | 0 0 1 0 0 | 1 9.1 | 0 1 1 0 0 | 2 9.3 | 1 0 0 0 0 | 1 9.4 | 0 0 0 1 0 | 1 9.6 | 0 1 0 1 0 | 2
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