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Statistics Project

Statistics Project
AJ DAVIS is a department store chain, which has many credit customers and wants to find out more information about these customers. A sample of 50 credit customers is selected with data collected on the following five variables:
1. LOCATION (Rural, Urban, Suburban)
2. INCOME (in $1,000’s – be careful with this)
3. SIZE (Household Size, meaning number of people living in the household)
4. YEARS (the number of years that the customer has lived in the current location)
5. CREDIT BALANCE (the customers current credit card balance on the store’s credit card, in $).
The data appears below, and is available in Doc Sharing Course Project Data Set as an EXCEL file:
Urban 54 3 12 4016
Rural 30 2 12 3159
Suburban 32 4 17 5100
Suburban 50 5 14 4742
Rural 31 2 4 1864
Urban 55 2 9 4070
Rural 37 1 20 2731
Urban 40 2 7 3348
Suburban 66 4 10 4764
Urban 51 3 16 4110
Urban 25 3 11 4208
Urban 48 4 16 4219
Rural 27 1 19 2477
Rural 33 2 12 2514
Urban 65 3 12 4214
Suburban 63 4 13 4965
Urban 42 6 15 4412
Urban 21 2 18 2448
Rural 44 1 7 2995
Urban 37 5 5 4171
Suburban 62 6 13 5678
Urban 21 3 16 3623
Suburban 55 7 15 5301
Rural 42 2 19 3020
Urban 41 7 18 4828
Suburban 54 6 14 5573
Rural 30 1 14 2583
Rural 48 2 8 3866
Urban 34 5 5 3586
Suburban 67 4 13 5037
Rural 50 2 11 3605
Urban 67 5 1 5345
Urban 55 6 16 5370
Urban 52 2 11 3890
Urban 62 3 2 4705
Urban 64 2 6 4157
Suburban 22 3 18 3579
Urban 29 4 4 3890
Suburban 39 2 18 2972
Rural 35 1 11 3121
Urban 39 4 15 4183
Suburban 54 3 9 3730
Suburban 23 6 18 4127
Rural 27 2 1 2921
Urban 26 7 17 4603
Suburban 61 2 14 4273
Rural 30 2 14 3067
Rural 22 4 16 3074
Suburban 46 5 13 4820
Suburban 66 4 20 5149
PROJECT PART A: Exploratory Data Analysis
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For each of the five variables, process, organize, present and summarize the data. Analyze each variable by itself using graphical and numerical techniques of summarization.
You may wish to use some of the following graphs: stem-leaf diagram, frequency/relative frequency table, histogram, boxplot, dotplot, pie chart, bar graph. Caution: not all of these are appropriate for each of these variables, nor are they all necessary. More is not necessarily better. In addition be sure to find the appropriate measures of central tendency, and measures of dispersion for the above data. Where appropriate use the five number summary (the Min, Q1, Median, Q3, Max). Explain what the results mean.
• Analyze the connections or relationships between the variables. There are ten pairings here (Location and Income, Location and Size, Location and Years, Location and Credit Balance, income and Size, Income and Years, Income and Balance, Size and Years, Size and Credit Balance, Years and Credit Balance). Use graphical as well as numerical summary measures. Explain what you see. Be sure to consider all 10 pairings. Some variables show clear relationships, while others do not.
• Prepare your report in Microsoft Word (or some other word processing package), integrating your graphs and tables with text explanations and interpretations. Be sure that you have graphical and numerical back up for your explanations and interpretations. Be selective in what you include in the report. Rather what I want you do is to highlight what you see for three individual variables(PLEASE USE INCOME VARIABLE,CREDIT BALANCE VARIABLE, AND SIZE VARIABLE) (no more than 1 graph for each, one or two measures of central tendency and variability (as appropriate), and three or four sentences of interpretation). For the 10 pairings, identify and report only on three of the pairings(PLEASE USE RELATIONSHIP BETWEEN INCOME AND LOCATION, RELATIONSHIP BETWEEN INCOME AND CREDIT BALANCE, AND RELATIONSHIP BETWEEN SIZE AND CREDIT BALANCE) again using graphical and numerical summary (as appropriate), with interpretations.
• Submission: The report from part 4 including all relevant graphs and numerical analysis along with interpretations. Interpretations are so important.
Format for report:
A. Brief Introduction
B. Discuss your 1st individual variable, using graphical, numerical summary and interpretation
C. Discuss your 2nd individual variable, using graphical, numerical summary and interpretation
D. Discuss your 3rd individual variable, using graphical, numerical summary and interpretation
E. Discuss your 1st pairing of variables, using graphical, numerical summary and interpretation
F. Discuss your 2nd pairing of variables, using graphical, numerical summary and interpretation
G. Discuss your 3rd pairing of variables, using graphical, numerical summary and interpretation
H. Conclusion

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