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12 May Conduct the following descriptive statistics analysis using the data set in attached Excel. Answer the questions in the spreadsheet or

Posted at 04:43h in Mathematics / Statistics by

Conduct the following descriptive statistics analysis using the data set in attached Excel. Answer the questions in the spreadsheet or a separate Microsoft Word document.

Insert a new column in the database that corresponds to AnnualSales. AnnualSales is the result of multiplying a restaurant’s SqFt by Sales/SqFt.

Calculate the following:

  • mean
  • standard deviation
  • skew
  • 5-number summary
  • interquartile range (IQR) for      each of the variables

Create a box-plot for the AnnualSales variable and answer the following questions:

  • Does it look symmetric?
  • Would you prefer the IQR      instead of the standard deviation to describe this variable’s dispersion?      Why or why not?

Create a histogram for the Sales/SqFt variable and answer the following questions:

  • Is the distribution symmetric?      If not, what is the skew?
  • Are there any outliers? If so,      which one(s)?
  • What is the SqFt area      of the outlier(s)? Is the outlier(s) smaller or larger than the average      restaurant in the database? What can you conclude from this observation?
  • What measure of central      tendency is more appropriate to describe Sales/SqFt? Why?

Cite references to support your assignment.

Part 2: Report.

Write a minimum 1,000-word statistical report with the following sections:

  • Section 1: Scope and      Descriptive Statistics
  • Section 2: Analysis
  • Section 3: Recommendations and      Implementation

Section 1: Scope and Descriptive Statistics

  • State the report’s objective.
  • Discuss the nature of the      current database. What variables were analyzed?
  • Summarize your descriptive      statistics findings from Part 1. Use a table and insert appropriate      graphs.

Section 2: Analysis

Using Microsoft Excel, create scatter plots and display the regression equations for the following pairs of variables:

  • BachDeg% versus Sales/SqFt
  • MedIncome versus Sales/SqFt
  • MedAge versus Sales/SqFt
  • LoyaltyCard(%) versus      SalesGrowth(%)

In your report, include the scatter plots. For each scatter plot, designate the type of relationship observed (increasing/positive, decreasing/negative, or no relationship) and determine what can be concluded from these relationships.

Section 3: Recommendations and Implementation

  • Based on your findings above,      assess which expansion criteria seem to be more effective. Is there any      expansion criterion that could be changed or eliminated? If so, which one      and why?
  • Based on your findings above,      does it appear as if the loyalty card is positively correlated with sales      growth? Would you recommend changing this marketing strategy?
  • Based on your previous      findings, recommend marketing positioning that targets a specific demographic.      (Hint: Are younger people patronizing the restaurants more than older      people?)
  • Indicate what information      should be collected to track and evaluate the effectiveness of your      recommendations. How can this data be collected? (Hint: would you use survey/samples      or census data?)

Cite references to support your assignment.

ChartDataSheet_

This worksheet contains values required for MegaStat charts.
Residuals X data 3/19/2007 7:49.25
66 18 45177 34.4 31
69 16 51888 41.2 20
67 10 51379 40.3 24
70 4 66081 35.4 29
78 0 50999 31.5 18
62 28 41562 36.3 30
70 28 44196 35.1 14
84 29 50975 37.6 33
68 22 72808 34.9 28
60 42 79070 34.8 29
80 36 78497 36.2 39
64 32 41245 32.2 23
80 22 33003 30.9 22
88 78 90988 37.7 37
42 35 37950 34.3 24
68 32 45206 32.4 17
80 48 79312 32.1 37
84 32 37345 31.4 22
35 27 46226 30.4 36
84 24 70024 33.9 34
78 16 54982 35.6 26
80 39 54932 35.9 20
70 70 34097 33.6 20
76 33 46593 37.9 26
56 12 51893 40.6 21
65 32 88162 37.7 37
62 0 89016 36.4 34
66 20 114353 40.9 34
76 24 75366 35 30
92 36 48163 26.4 16
112 34 49956 37.1 28
66 15 45990 30.3 36
70 28 45723 31.3 18
60 15 43800 29.6 36
86 10 68711 32.9 18
76 0 65150 40.7 24
68 16 39329 29.3 22
64 0 63657 37.3 29
52 36 67099 39.8 25
78 26 75151 33.9 28
64 28 93876 35 40
82 32 79701 35 39
86 30 77115 35.9 30
92 16 52766 33 17
72 10 32929 30.9 22
90 24 87863 38.5 29
64 20 73752 40.5 19
80 20 85366 32.1 29
102 30 39180 34.8 18
70 26 56077 38 19
62 26 77449 37 34
68 20 56822 34.7 25
74 24 80470 36.4 30
84 14 55584 36.8 21
70 32 78001 32.2 30
96 32 75307 34.8 30
70 22 76375 36.7 28
76 32 61857 33.8 31
62 28 61312 34.2 16
92 23 72040 39 31
60 20 92414 34.9 40
54 15 92602 39.3 33
110 23 59599 35.6 28
78 0 72453 36 23
72 31 67925 41.1 16
74 29 42631 24.7 25
94 0 75652 40.5 25
80 16 39650 32.9 18
124 0 48033 30.3 15
46 20 67403 36.2 19
66 0 80597 32.4 27
63 28 60928 43.5 21
72 15 73762 41.6 29
76 24 64225 31.4 15
NormalPlot data 3/19/2007 7:49.03
-259.9497306439 -2.3669115357
-188.5900144767 -2.0061237235
-178.1863109741 -1.8007082352
-165.2888689211 -1.6514108613
-156.2930386781 -1.5318456091
-147.1995334043 -1.4308738679
-145.0204151759 -1.3426905457
-132.7962270775 -1.2638662791
-132.5838765031 -1.1921973902
-127.8657575015 -1.1261791757
-124.4916500844 -1.0647357757
-123.016384493 -1.0070695657
-118.431306853 -0.952571595
-110.8440652315 -0.9007655189
-110.1477551652 -0.8512709934
-109.3430277914 -0.8037789242
-105.1097263145 -0.7580342264
-104.7616892077 -0.7138235056
-100.1917272772 -0.6709660579
-96.9455399284 -0.6293071641
-78.5222407532 -0.588713006
-66.833182556 -0.5490667518
-63.9367962151 -0.5102654979
-54.9666697606 -0.4722178495
-49.5089341383 -0.4348419815
-43.817663257 -0.3980640685
-30.5622414309 -0.3618169976
-29.7056802184 -0.3260393031
-28.8211160258 -0.2906742745
-21.3829190469 -0.2556692022
-20.8096302471 -0.220974732
-18.0336858908 -0.1865443062
-16.4732294274 -0.152333674
-15.5268611118 -0.1183004556
-12.5832024808 -0.0844037498
-11.5991899485 -0.0506037738
-10.6416197419 -0.0168615273
-6.4663288735 0.0168615273
6.6082090726 0.0506037738
10.1026389027 0.0844037498
10.1556691582 0.1183004556
11.5424324103 0.152333674
13.4792557233 0.1865443062
15.0213966843 0.220974732
18.9663798116 0.2556692022
19.2122025279 0.2906742745
19.5938287738 0.3260393031
19.7419844304 0.3618169976
23.7470781354 0.3980640685
25.1736217387 0.4348419815
28.9194386872 0.4722178495
38.4697564504 0.5102654979
50.9831788417 0.5490667518
53.0357068283 0.588713006
61.102903906 0.6293071641
63.1204953548 0.6709660579
63.8380153718 0.7138235056
71.0833539728 0.7580342264
71.3281648375 0.8037789242
75.1828858929 0.8512709934
75.2802525469 0.9007655189
81.3206554357 0.952571595
81.6351025536 1.0070695657
105.576464442 1.0647357757
115.0253844293 1.1261791757
122.2233804168 1.1921973902
150.1178490106 1.2638662791
180.3934285167 1.3426905457
196.2671375845 1.4308738679
205.7993140008 1.5318456091
234.8563337617 1.6514108613
289.7338930992 1.8007082352
336.0904495556 2.0061237235
372.5195939607 2.3669115357
Residuals X data 3/19/2007 8:01.41
66 18 45177 34.4 31
69 16 51888 41.2 20
67 10 51379 40.3 24
70 4 66081 35.4 29
78 0 50999 31.5 18
62 28 41562 36.3 30
70 28 44196 35.1 14
84 29 50975 37.6 33
68 22 72808 34.9 28
60 42 79070 34.8 29
80 36 78497 36.2 39
64 32 41245 32.2 23
80 22 33003 30.9 22
88 78 90988 37.7 37
42 35 37950 34.3 24
68 32 45206 32.4 17
80 48 79312 32.1 37
84 32 37345 31.4 22
35 27 46226 30.4 36
84 24 70024 33.9 34
78 16 54982 35.6 26
80 39 54932 35.9 20
70 70 34097 33.6 20
76 33 46593 37.9 26
56 12 51893 40.6 21
65 32 88162 37.7 37
62 0 89016 36.4 34
66 20 114353 40.9 34
76 24 75366 35 30
92 36 48163 26.4 16
112 34 49956 37.1 28
66 15 45990 30.3 36
70 28 45723 31.3 18
60 15 43800 29.6 36
86 10 68711 32.9 18
76 0 65150 40.7 24
68 16 39329 29.3 22
64 0 63657 37.3 29
52 36 67099 39.8 25
78 26 75151 33.9 28
64 28 93876 35 40
82 32 79701 35 39
86 30 77115 35.9 30
92 16 52766 33 17
72 10 32929 30.9 22
90 24 87863 38.5 29
64 20 73752 40.5 19
80 20 85366 32.1 29
102 30 39180 34.8 18
70 26 56077 38 19
62 26 77449 37 34
68 20 56822 34.7 25
74 24 80470 36.4 30
84 14 55584 36.8 21
70 32 78001 32.2 30
96 32 75307 34.8 30
70 22 76375 36.7 28
76 32 61857 33.8 31
62 28 61312 34.2 16
92 23 72040 39 31
60 20 92414 34.9 40
54 15 92602 39.3 33
110 23 59599 35.6 28
78 0 72453 36 23
72 31 67925 41.1 16
74 29 42631 24.7 25
94 0 75652 40.5 25
80 16 39650 32.9 18
124 0 48033 30.3 15
46 20 67403 36.2 19
66 0 80597 32.4 27
63 28 60928 43.5 21
72 15 73762 41.6 29
76 24 64225 31.4 15
NormalPlot data 3/19/2007 8:01.03
-259.9497306439 -2.3669115357
-188.5900144767 -2.0061237235
-178.1863109741 -1.8007082352
-165.2888689211 -1.6514108613
-156.2930386781 -1.5318456091
-147.1995334043 -1.4308738679
-145.0204151759 -1.3426905457
-132.7962270775 -1.2638662791
-132.5838765031 -1.1921973902
-127.8657575015 -1.1261791757
-124.4916500844 -1.0647357757
-123.016384493 -1.0070695657
-118.431306853 -0.952571595
-110.8440652315 -0.9007655189
-110.1477551652 -0.8512709934
-109.3430277914 -0.8037789242
-105.1097263145 -0.7580342264
-104.7616892077 -0.7138235056
-100.1917272772 -0.6709660579
-96.9455399284 -0.6293071641
-78.5222407532 -0.588713006
-66.833182556 -0.5490667518
-63.9367962151 -0.5102654979
-54.9666697606 -0.4722178495
-49.5089341383 -0.4348419815
-43.817663257 -0.3980640685
-30.5622414309 -0.3618169976
-29.7056802184 -0.3260393031
-28.8211160258 -0.2906742745
-21.3829190469 -0.2556692022
-20.8096302471 -0.220974732
-18.0336858908 -0.1865443062
-16.4732294274 -0.152333674
-15.5268611118 -0.1183004556
-12.5832024808 -0.0844037498
-11.5991899485 -0.0506037738
-10.6416197419 -0.0168615273
-6.4663288735 0.0168615273
6.6082090726 0.0506037738
10.1026389027 0.0844037498
10.1556691582 0.1183004556
11.5424324103 0.152333674
13.4792557233 0.1865443062
15.0213966843 0.220974732
18.9663798116 0.2556692022
19.2122025279 0.2906742745
19.5938287738 0.3260393031
19.7419844304 0.3618169976
23.7470781354 0.3980640685
25.1736217387 0.4348419815
28.9194386872 0.4722178495
38.4697564504 0.5102654979
50.9831788417 0.5490667518
53.0357068283 0.588713006
61.102903906 0.6293071641
63.1204953548 0.6709660579
63.8380153718 0.7138235056
71.0833539728 0.7580342264
71.3281648375 0.8037789242
75.1828858929 0.8512709934
75.2802525469 0.9007655189
81.3206554357 0.952571595
81.6351025536 1.0070695657
105.576464442 1.0647357757
115.0253844293 1.1261791757
122.2233804168 1.1921973902
150.1178490106 1.2638662791
180.3934285167 1.3426905457
196.2671375845 1.4308738679
205.7993140008 1.5318456091
234.8563337617 1.6514108613
289.7338930992 1.8007082352
336.0904495556 2.0061237235
372.5195939607 2.3669115357

Data

Square Feet Per Person Average Spending Sales Growth Over Previous Year (%) Loyalty Card % of Net Sales Annual Sales Per Sq Ft Median HH Income (3 Miles) Median Age (3 Miles) % w/ Bachelor's Degree (3 Miles)
Obs SqFt Sales/Person SalesGrowth% LoyaltyCard% Sales/SqFt MedIncome MedAge BachDeg%
1 2354 6.81 -8.31 2.07 701.97 45177 34.4 31
2 2604 7.57 -4.01 2.54 209.93 51888 41.2 20
3 2453 6.89 -3.94 1.66 364.92 51379 40.3 24
4 2340 7.13 -3.39 2.06 443.04 66081 35.4 29
5 2500 7.04 -3.30 2.48 399.20 50999 31.5 18
6 2806 6.93 -1.94 2.96 264.64 41562 36.3 30
7 2250 7.11 -0.77 2.28 571.59 44196 35.1 14
8 2400 7.13 -0.37 2.34 642.25 50975 37.6 33
9 2709 6.58 -0.25 2.20 461.45 72808 34.9 28
10 1990 6.77 -0.17 2.34 638.82 79070 34.8 29
11 2392 6.66 0.47 2.09 484.38 78497 36.2 39
12 2408 7.03 0.55 2.47 581.09 41245 32.2 23
13 2627 7.03 0.77 2.04 267.71 33003 30.9 22
14 2500 7.00 1.92 2.02 572.84 90988 37.7 37
15 1986 7.38 2.05 2.01 586.48 37950 34.3 24
16 2500 7.18 2.12 2.64 368.73 45206 32.4 17
17 2668 7.35 2.84 2.22 351.47 79312 32.1 37
18 2517 6.95 2.88 2.07 458.24 37345 31.4 22
19 1251 7.02 3.96 1.94 987.12 46226 30.4 36
20 2998 6.85 4.04 2.17 357.45 70024 33.9 34
21 2625 7.16 4.05 0.72 405.77 54982 35.6 26
22 2300 6.99 4.05 2.00 680.80 54932 35.9 20
23 2761 7.28 4.24 1.81 368.02 34097 33.6 20
24 2764 7.07 4.58 2.13 303.95 46593 37.9 26
25 2430 7.05 5.09 2.50 393.90 51893 40.6 21
26 2154 6.54 5.14 2.63 562.12 88162 37.7 37
27 2400 6.70 5.48 1.95 494.88 89016 36.4 34
28 2430 6.91 5.86 2.04 310.07 114353 40.9 34
29 2549 7.58 5.91 1.41 373.46 75366 35.0 30
30 2500 7.03 5.98 2.05 235.81 48163 26.4 16
31 3653 6.84 6.08 2.13 413.08 49956 37.1 28
32 2440 6.94 6.08 2.08 625.22 45990 30.3 36
33 2600 7.07 6.13 2.73 274.30 45723 31.3 18
34 2160 7.00 6.27 1.95 542.62 43800 29.6 36
35 2800 7.08 6.57 2.04 178.56 68711 32.9 18
36 2757 6.75 6.90 1.62 375.33 65150 40.7 24
37 2450 6.81 6.94 1.95 329.09 39329 29.3 22
38 2400 7.64 7.12 1.64 297.37 63657 37.3 29
39 2270 6.62 7.39 1.78 323.17 67099 39.8 25
40 2800 6.76 7.67 2.23 468.84 75151 33.9 28
41 2520 7.11 7.91 2.15 352.57 93876 35.0 40
42 2487 7.05 8.08 2.83 380.34 79701 35.0 39
43 2629 6.90 8.27 2.37 398.12 77115 35.9 30
44 3200 7.17 8.54 3.07 312.15 52766 33.0 17
45 2335 6.75 8.58 2.19 452.16 32929 30.9 22
46 2500 7.45 8.72 1.28 698.64 87863 38.5 29
47 2449 7.00 8.75 1.76 367.19 73752 40.5 19
48 2625 6.96 8.79 2.51 431.93 85366 32.1 29
49 3150 7.30 8.90 1.90 367.06 39180 34.8 18
50 2625 6.96 9.12 1.98 400.53 56077 38.0 19
51 2741 6.71 9.47 2.41 414.36 77449 37.0 34
52 2500 6.82 10.17 2.17 481.11 56822 34.7 25
53 2450 6.58 10.66 2.16 538.06 80470 36.4 30
54 2986 7.56 10.97 0.29 330.48 55584 36.8 21
55 2967 6.98 11.34 1.85 249.93 78001 32.2 30
56 3000 7.28 11.45 1.88 291.87 75307 34.8 30
57 2500 6.76 11.51 2.19 517.40 76375 36.7 28
58 2600 6.92 11.73 2.56 551.58 61857 33.8 31
59 2800 6.73 11.83 2.16 386.81 61312 34.2 16
60 2986 6.91 11.95 2.10 427.50 72040 39.0 31
61 2223 6.77 12.47 1.98 453.94 92414 34.9 40
62 2300 7.33 12.80 0.87 512.46 92602 39.3 33
63 3799 7.87 13.78 1.07 345.27 59599 35.6 28
64 2700 6.95 14.09 3.38 234.04 72453 36.0 23
65 2650 7.33 14.23 1.17 348.33 67925 41.1 16
66 2500 6.95 14.60 2.14 348.47 42631 24.7 25
67 2994 7.21 14.88 0.93 294.95 75652 40.5 25
68 2718 7.25 15.42 2.22 361.14 39650 32.9 18
69 3700 7.65 16.18 1.68 467.71 48033 30.3 15
70 2000 6.93 17.23 2.41 403.78 67403 36.2 19
71 2400 6.79 18.43 2.81 245.74 80597 32.4 27
72 2450 7.37 20.76 1.09 339.94 60928 43.5 21
73 2575 6.76 25.54 0.64 400.82 73762 41.6 29
74 2400 7.97 28.81 1.77 326.54 64225 31.4 15

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