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11 May Resources: Pastas R Us, Inc. Database & Microsoft Excel?, Wk 1: Descriptive Statistics Analysis Assignment Purpose? This assignment is intended

1. Resources: Pastas R Us, Inc. Database & Microsoft Excel®, Wk 1: Descriptive Statistics Analysis Assignment

Purpose
This assignment is intended to help you learn how to apply statistical methods when analyzing operational data, evaluating the performance of current marketing strategies, and recommending actionable business decisions. This is an opportunity to build critical-thinking and problem-solving skills within the context of data analysis and interpretation. You’ll gain a first-hand understanding of how data analytics supports decision-making and adds value to an organization.

Scenario:
Pastas R Us, Inc. is a fast-casual restaurant chain specializing in noodle-based dishes, soups, and salads. Since its inception, the business development team has favored opening new restaurants in areas (within a 3-mile radius) that satisfy the following demographic conditions:

• Median age between 25 – 45 years old
• Household median income above national average
• At least 15% college educated adult population
• Last year, the marketing department rolled out a Loyalty Card strategy to increase sales. Under this program, customers present their Loyalty Card when paying for their orders and receive some free food after making 10 purchases.

The company has collected data from its 74 restaurants to track important variables such as average sales per customer, year-on-year sales growth, sales per sq. ft., Loyalty Card usage as a percentage of sales, and others. A key metric of financial performance in the restaurant industry is annual sales per sq. ft. For example, if a 1200 sq. ft. restaurant recorded \$2 million in sales last year, then it sold \$1,667 per sq. ft.

Executive management wants to know whether the current expansion criteria can be improved. They want to evaluate the effectiveness of the Loyalty Card marketing strategy and identify feasible, actionable opportunities for improvement. As a member of the analytics department, you’ve been assigned the responsibility of conducting a thorough statistical analysis of the company’s available database to answer executive management’s questions.

Report:
Write a 750-word statistical report that includes 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 Excel. Use a table and insert appropriate graphs.
• Section 2 – Analysis
• Using 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 you can conclude from these relationships.
• Section 3: Recommendations and implementation
• Based on your findings above, assess which expansion criteria seem to be more effective. Could any expansion criterion 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?)
• Cite references to support your assignment.

Format your citations according to APA guidelines.

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

 Pastas R Us, Inc. Database (n = 74 restaurants) 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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