DeVry MATH533 Project Part A,B & C Assignments Latest 2016 november

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 forthree 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 onthree 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:

1.
Brief Introduction

2.
Discuss your 1st individual variable,
using graphical, numerical summary and interpretation

3.
Discuss your 2nd individual variable,
using graphical, numerical summary and interpretation

4.
Discuss your 3rd individual variable,
using graphical, numerical summary and interpretation

5.
Discuss your 1st pairing of variables,
using graphical, numerical summary and interpretation

6.
Discuss your 2nd pairing of
variables, using graphical, numerical summary and interpretation

7.
Discuss your 3rd pairing of
variables, using graphical, numerical summary and interpretation

8.
Conclusion’=

Project Part B: Hypothesis Testing and Confidence Intervals

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 ? 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 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.

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 ? 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.

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