Project #50415 - project

PROJECT PART A: Exploratory Data Analysis

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

  1. 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.
  2. 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.
  3. 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.
  4. All DeVry University policies are in effect, including the plagiarism policy.
  5. Project Part B report is due by the end of Week 6.
  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:

  1. Summary Report (about 1 paragraph on each of the speculations a.-d.)
  2. 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

CategoryPoints%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.

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.

  1. Generate a scatterplot for the specified dependent variable and the specified independent variable, including the graph of the "best fit" line. Interpret.
  2. Determine the equation of the "best fit" line, which describes the relationship between the dependent variable and the selected independent variable.
  3. Determine the coefficient of correlation. Interpret.
  4. Determine the coefficient of determination. Interpret.
  5. 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.
  6. Based on your findings in 1-5, what is your opinion about using the designated independent variable to predict the designated dependent variable? Explain.
  7. Compute the confidence interval for beta-1 (the population slope), using the confidence level specified by your Instructor. Interpret this interval.
  8. 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.
  9. 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.
  10. 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.

  1. Using MINITAB run the multiple regression analysis using the designated dependent and independent variables. State the equation for this multiple regression model.
  2. Perform the Global Test for Utility (F-Test). Explain your conclusion.
  3. 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.
  4. Is this multiple regression model better than the linear model that we generated in parts 1-10? Explain.
  5. All DeVry University policies are in effect, including the plagiarism policy.
  6. Project Part C report is due by the end of Week 7.
  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:

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

Project Part C: Grading Rubric

CategoryPoints%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

Subject Mathematics
Due By (Pacific Time) 12/06/2014 12:00 am
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