Your analyses in Exercises 11.23 through 11.26 point to two restaurants, McDonald’s and Starbucks, as unusual in several respects. How influential are these restaurants? The following four exercises provide answers.

Table 11.7: TABLE 11.3 Market share data for Exercise 11.23
Restaurant Market share Franchises Company Sales Burger
McDonald’s 22.69 12,477 1550 32.4 1
Subway 7.71 23,850 0 10.6 0
Starbucks 6.76 4424 6707 7.6 0
Wendy’s 5.48 5182 1394 8.3 1
Burger King 5.48 6380 873 8.6 1
Taco Bell 4.78 4389 1245 6.9 0
Dunkin’ Donuts 4.02 6746 26 6.0 0
Pizza Hut 3.63 7083 459 5.4 0
Chik-fil-A 2.93 1461 76 3.6 0
KFC 2.87 4275 780 4.7 0
Panera Bread 2.49 791 662 3.1 0
Sonic 2.42 3117 455 3.6 1
Domino’s 2.23 4479 450 3.3 0
Jack in the Box 1.98 1250 956 2.9 1
Arby’s 1.91 2505 1144 3.0 0
Chipotle 1.72 0 1084 1.8 0

Question 11.27

11.27

Rerun Exercise 11.23 without the data for McDonald’s and Starbucks. Compare your results with what you obtained in that exercise.

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11.27

(a)

Variable Mean Std Dev Minimum Lower Quartile Median Upper Quartile Maximum
Share 3.55 1.75 1.72 2.23 2.90 4.78 7.71
Franchises 5107.71 5848.92 0.00 1461.00 4332.00 6380.00 23850.00
Company 686.00 458.93 0.00 450.00 721.00 1084.00 1394.00
Sales 5.13 2.62 1.80 3.10 4.15 6.90 10.60
Burger 0.29 0.47 0.00 0.00 0.00 1.00 1.00

Taking out the two outliers fixed a lot of the outlier problems we saw earlier with the histograms. Subway still shows up as an outlier in the Franchise histogram; otherwise, we can now see the distributions of the other variables much better. (c) Share is somewhat right-skewed, but it has an outlier, Subway. Subway is also a huge outlier for Franchises, making it hard to tell the distribution of Franchises. Company is uniformly distributed. Sales looks roughly Normal with a small rightskew. Burger only has two possible values.