Course Project: AJ Davis Department Stores
MATH533: Applied Managerial Statistics
September 10th, 2014
AJ Davis is a department store chain, they are trying to get to know more about their clientele and to further expand their business. A sample of 50 credit customers are selected for this research, information that includes, location (rural, urban or suburban), Income (in $1,000), size (household size), years (number of years lived in that location), and credit balance (customers current credit card balance on the store’s credit card).
Discuss your 1st variable, using ...view middle of the document...
N: 50 Max: 7.0000
The histogram above shows the Size variable of the 50 customers surveyed. The graph is not symmetrical compared to the Credit Balance (shown above), this graph is also skewed to the right. This graph also shows that 15 people that were surveyed have two people per household, which is much higher than the others that were surveyed. The Anderson-Darling Normality Test shows that the p-value to be 0.005, and A^2 to be 1.59. The mean, median, and standard deviation all stays at 95%.
Discuss your 3rd variable, using graphical, numerical summary and interpretation
Numerical Summary of Income are as follows:
Mean: 43.740 Minimum: 21.000
Standard Deviation: 14.640 Q1: 30.000
Variance: 214.319 Median: 43.000
Skew: 0.04899 Q3: 55.000
N: 50 Maximum: 67.000
The histogram above shows the Income variable of the 50 customers surveyed. The graph is not symmetrical. There is a very distinct difference between customers generating income from 20-40 and 50 and above. They are separated into two clusters so the graph is skewed to the right. The Anderson-Darling Normality Test shows that the p-value to be 0.027, and A^2 to be 0.85. The mean, median, and standard deviation stays at a consistent 95%.
Discuss your 1st pairing of variables, using graphical, numerical summary and interpretation
The first pairing I decided to look at was Credit Balance vs. Years. The scatterplot shown has no form of pattern on the graph and that the dots are all over the place. Which means that Credit Balance and Years do not correlate to one another. There are a few outliers that are shown between 0-5 years, the credit balances are widespread. The longer...