# Devry Math533 All week Course Project Latest 2015 November

Question

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Course Project: AJ DAVIS DEPARTMENT STORES

01:20 AM MT

12/30/2015

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Introduction

Your Instructor will provide you with a Case description and data set in Doc Sharing.

PROJECT PART A: Exploratory Data Analysis

Open the files for the Course Project and the data set in Doc Sharing.

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. Use MINITAB as much as possible, explaining what the printout tells you. 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, the measures of dispersion, and the shapes of the distributions (for the quantitative variables) for the above data. Where appropriate, use the five number summary (the Min, Q1, Median, Q3, Max). Once again, use MINITAB as appropriate, and explain what the results mean.

Analyze the connections or relationships between the variables. There are ten possible pairings of two variables. 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, 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. I’m not looking for a 20 page report on every variable and every possible relationship (that’s 15 things to do).

In particular, what I want you do is to highlight what you see for three individual variables (no more than 1 graph for each, one or two measures of central tendency and variability (as appropriate), the shapes of the distributions for quantitative variables, and two or three sentences of interpretation). For the 10 pairings, identify and report only on three of the pairings, again using graphical and numerical summary (as appropriate), with interpretations. Please note that at least one of your pairings must include the qualitative variable and at least one of your pairings must not include the qualitative variable.

All DeVry University policies are in effect, including the plagiarism policy.

Project Part A report is due by the end of Week 2.

Project Part A is worth 100 total points. See grading rubric below.

Submission: The report including all relevant graphs and numerical analysis along with interpretations.

Format for report:

Brief Introduction

Discuss your 1st individual variable, using graphical, numerical summary and interpretation

Discuss your 2nd individual variable, using graphical, numerical summary and interpretation

Discuss your 3rd individual variable, using graphical, numerical summary and interpretation

Discuss your 1st pairing of variables, using graphical, numerical summary and interpretation

Discuss your 2nd pairing of variables, using graphical, numerical summary and interpretation

Discuss your 3rd pairing of variables, using graphical, numerical summary and interpretation

Conclusion

Project Part A Grading Rubric

Category Points % Description

Three Individual Variables – 12pts. each 36 36 graphical analysis, numerical analysis (when appropriate) and interpretation

Three Relationships – 15 pts. each 45 45 graphical analysis, numerical analysis (when appropriate) and interpretation

Communication Skills 19 19 writing, grammar, clarity, logic, cohesiveness, adherence to the above format

Total 100 100 A quality paper will meet or exceed all of the above requirements.

Project Part B: Hypothesis Testing and Confidence Intervals

Your Instructor will provide you with four manager speculations, a.-d., in the Doc Sharing file.

Using the sample data, perform the hypothesis test for each of the above situations in order to see if there is evidence to support your manager’s belief in each case a.-d. In each case use the Seven Elements of a Test of Hypothesis, in Section 6.2 of your text book, using the α provided by your Instructor in the Doc Sharing materials, and explain your conclusion in simple terms. Also be sure to compute the p-value and interpret.

Follow this up with computing confidence intervals (the required confidence level will be provided by your Instructor) for each of the variables described in a.-d., and again interpreting these intervals.

Write a report to your manager about the results, distilling down the results in a way that would be understandable to someone who does not know statistics. Clear explanations and interpretations are critical.

All DeVry University policies are in effect, including the plagiarism policy.

Project Part B report is due by the end of Week 6.

Project Part B is worth 100 total points. See grading rubric below.

Submission: The report from part 3 + all of the relevant work done in the hypothesis testing (including Minitab) in 1., and the confidence intervals (Minitab) in 2. as an appendix.

Format for report:

Summary Report (about 1 paragraph on each of the speculations a.-d.)

Appendix with all of the steps in hypothesis testing (the format of the Seven Elements of a Test of Hypothesis, in Section 6.2 of your text book) for each speculation a.-d. as well as the confidence intervals, the p-values, and including all Minitab output

Project Part B: Grading Rubric

Category Points % Description

Addressing each speculation – 20 pts. each 80 80 hypothesis test, interpretation, confidence interval and interpretation

Summary report 20 20 1 paragraph on each of the speculations

Total 100 100 A quality paper will meet or exceed all of the above requirements.

Project Part C: Regression and Correlation Analysis

Your Instructor will specify for you the dependent variable and the independent variables in your Case and data. Using MINITAB perform the regression and correlation analysis for the data by answering the following.

Generate a scatterplot for the specified dependent variable and the specified independent variable, including the graph of the “best fit” line. Interpret.

Determine the equation of the “best fit” line, which describes the relationship between the dependent variable and the selected independent variable.

Determine the coefficient of correlation. Interpret.

Determine the coefficient of determination. Interpret.

Test the utility of this regression model (use a two tail test with the α provided by your Instructor). Interpret your results, including the p-value.

Based on your findings in 1-5, what is your opinion about using the designated independent variable to predict the designated dependent variable? Explain.

Compute the confidence interval for beta-1 (the population slope), using the confidence level specified by your Instructor. Interpret this interval.

Using an interval, estimate the average for the dependent variable for a selected value of the independent variable (to be provided by your Instructor). Interpret this interval.

Using an interval, predict the particular value of the dependent variable for a selected value of the independent variable (to be provided by your Instructor). Interpret this interval.

What can we say about the value of the dependent variable for values of the independent variable that are outside the range of the sample values? Explain your answer.

In an attempt to improve the model, we will attempt to do a multiple regression model predicting the dependent variable based on all of the independent variables.

Using MINITAB run the multiple regression analysis using the designated dependent and independent variables. State the equation for this multiple regression model.

Perform the Global Test for Utility (F-Test). Explain your conclusion.

Perform the t-test on each independent variable. Explain your conclusions and clearly state how you should proceed. In particular, which independent variables should we keep and which should be discarded. If any independent variables are to be discarded, re-run the multiple regression, including only the significant independent variables, and include the final Minitab output, with interpretation.

Is this multiple regression model better than the linear model that we generated in parts 1-10? Explain.

All DeVry University policies are in effect, including the plagiarism policy.

Project Part C report is due by the end of Week 7.

Project Part C is worth 100 total points. See grading rubric below.

Summarize your results from 1-14 in a report that is three pages or less in length and explains and interprets the results in ways that are understandable to someone who does not know statistics.

Submission: The summary report + all of the work done in 1-14 (Minitab Output + interpretations) as an appendix.

Format for report:

Summary Report

Points 1-14 addressed with appropriate output, graphs and interpretations. Be sure to number each point 1-14.

Project Part C: Grading Rubric

Category Points % Description

Questions 1 – 12 and 14 – 5 pts. each 65 65 addressed with appropriate output, graphs and interpretations

Question 13 15 15 addressed with appropriate output, graphs and interpretations

Summary 20 20 writing, grammar, clarity, logic, and cohesiveness

Total 100 100 A quality paper will meet or exceed all of the above requirements.

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