Management Calculus project These files contain information for project 1

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Management Calculus project These files contain information for project 1. The project information file provides a general overview of what is to be done and files needed, The requirements file lists details for what is to be done. The Boxed Foods data file contains the information to be used. The Excel cheat sheet contains hints to create the scattergrams. The sample scattergram file provides a guideline for what is expected in the graphs to be created. The outline gives a general format for what is to be prepared.

MATH.1220                                                                                       Management Calculus

Project #1 

WalMart Sales of Boxed Foods within the Dry Goods Dept 2002-2003

The following items are a guide for responses to be addressed in project one.  Note that WalMart’s fiscal year starts the first week of February.  This means that when analyzing the data, week 26 is actually week 30 (26+4 weeks for January) in 2002 or the end of July 2002.  Also, week 52 is actually week 4 (52+4 weeks for January 2002 minus 52 weeks for 2002) in 2003 or the end of January 2003.  Outliers

(extreme values) are present in the data and can distort modeling results.  As an example, spikes in sales

(revenue) at weeks 28-30 occurs in weeks 32-34 (28+4 and 30+4) which represent mid to late August

2002.  Another spike at week 58 week is actually week 10 in 2003 (58+4 weeks for January 2002 minus 52 weeks for 2002).  This corresponds to sales for early March 2003.  The question is whether these spikes are due to special events or holiday periods, or are perhaps due to restocking and stock availability.

All projects must be printed on 8.5x11 paper in a word document with imbedded Excel graphs.  No electronic copies or handwritten ones will be accepted.  All content must be printed – no handwritten mathematics, graphs, labels, etc.  All projects must be stapled.

The final project report is to be an individual effort.  Collaboration during the report development is acceptable as part of the learning process.

When doing your least squares modeling of the data, don’t forget to generate the model (linear or quadratic) and then remove outliers (extreme values causing spikes in the data) and rerun the model.  The results should improve with better R² values.  Discuss what outliers were removed and why.

Generate supporting Excel graphs (use scatter plots) to answer the following questions for the given data:

1. Identify spikes (outliers) in the data where extreme sales values occur and correlate these spikes with actual calendar dates in 2002 or 2003 and with events that may occur during these periods.

 

2. Modeling the data linearly -
   1. Generate a linear model for this data by choosing two points. 
   2. Generate a least squares linear regression model for this data. 
   3. How good is this regression model?  Output and discuss the R² value. 
   4. What are the marginal sales (derivative, i.e. rate of change) for this department using the linear model with two data points and the regression model? 
   5. Compare the two models.  Which do you feel is better? 
   6. Remove appropriate outliers as you deem necessary and rerun the linear regression model.  What is the marginal sales and discuss improvements.  
3. Modeling the data quadratically -
   1. Generate a quadratic model for this dat  Also output and discuss the R² value.
   2. What are the marginal sales for this department using this model?
   3. Calculate the model generated relative max/min value.  Show backup analytical work. 
   4. Compare actual and model generated relative max/min value. 
   5. Remove outliers and rerun the quadratic least squares model.  What is the marginal sales and discuss improvements.  
4. Comparing models
   1. Based on all models run, which model do you feel best predicts future trends?  Explain your rationale. 
   2. Based on the model selected, what type of seasonal adjustments, if any, would be required to meet customer needs?