Introduction

Your instructor will provide you with an Excel spreadsheet showing DeVry admissions data for the past semester, for 100 admissions advisors.Each row represents one admissions advisor, and the includes data on five variables:

STARTSrepresents the number of students who started classes at DeVry.

APPLICATIONSrepresents the number of potential students who applied to DeVry.

TIMErepresents the average time spent with potential students during their first inquiry about DeVry.

YEARSrepresents years of experience as a DeVry admissions advisor.

TRAININGrepresents the type of training the admissions advisor received.

Part A: Exploratory Data AnalysisPreparation

• Open the files for the Course Project and the data set.
• 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 Excel as much as possible, explaining what the results reveal. Some of the following graphs may be helpful: stem-leaf diagram, frequency/relative frequency table, histogram, boxplot, dotplot, pie chart, and 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 Excel as appropriate, and explain what the results mean.
• Analyze the connections or relationships between the variables. There are 10 possible pairings of two variables. Use graphical as well as numerical summary measures. Explain the results of the analysis. Be sure to consider all 10 pairings. Some variables show clear relationships, whereas others do not.

Report Requirements

• From the variable analysis above, provide the analysis and interpretation forthree individual variables.This would include no more than one 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 pairing must include a qualitative variable, and at least one pairing must not include a qualitative variable.
• Prepare the report in Microsoft Word,integrating graphs and tables with text explanations and interpretations.Be sure to include graphical and numerical back up for the explanations and interpretations. Be selective in what is included in the report to meet the requirements of the report without extraneous information.

• Project Part A report is due by the end of Week 2.
• Project Part A is worth 100 total points. See the grading rubric below.

Submission: The report, including all relevant graphs and numerical analysis along with interpretationsFormat for report:

1. Brief Introduction
2. Discuss the first individual variable, using graphical, numerical summary and interpretation.
3. Discuss the second individual variable, using graphical, numerical summary and interpretation.
4. Discuss the third individual variable, using graphical, numerical summary and interpretation.
5. Discuss the first pairing of variables, using graphical, numerical summary and interpretation.
6. Discuss the second pairing of variables, using graphical, numerical summary and interpretation.
7. Discuss the third pairing of variables, using graphical, numerical summary and interpretation.
8. Conclusion

Submit your assignment.

Part A: Grading Rubric

CategoryPoints%DescriptionThree individual variables?12 points each3636Graphical analysis, numerical analysis (when appropriate), and interpretationThree relationships?15 points each4545Graphical analysis, numerical analysis (when appropriate), and interpretationCommunication skills1919Writing, grammar, clarity, logic, cohesiveness, adherence to the above formatTotal100100A quality paper will meet or exceed all of the above requirements.

Part B: Hypothesis Testing and Confidence Intervals

Complete the following four hypotheses, using ? = 0.05 for each.

1. Mean starts this semester exceeds 41.5 per advisor
2. Proportion receiving online training is less than 55%
3. Mean applications taken among those with no training is less than 145
4. Mean time per call is greater than 15 minutes
5. Using the same data set from Part A, perform the hypothesis test for each speculation in order to see if there is evidence to support the manager's belief. Use the Seven Elements of a Test of Hypothesis from Section 7.1 of your textbook, as well as the p-value calculation from Section 7.3, and explain your conclusion in simple terms.
6. Compute confidence intervals (the required confidence level is included with the speculations) for each of the variables described in A-D, and interpret these intervals.
7. Make report 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.

1. Project Part B report is due by the end of Week 6.
2. Project Part B is worth 100 total points. See grading rubric below.

Format for report:

1. Summary Report (about one paragraph on each of the speculations (a. - d.)
2. Appendix with the calculations of the Seven Elements of a Test of Hypothesis, the p-values, and the confidence intervals?include the Excel formulas used in the calculations.

Submit your assignment.

Part B: Grading Rubric

CategoryPoints%DescriptionAddressing each speculation?20 points each8080Hypothesis test, interpretation, confidence interval, and interpretationSummary report clarity2020One paragraph on each of the speculationsTotal100100A quality paper will meet or exceed all of the above requirements.

Part C: Regression and Correlation Analysis

Use the dependent variable (labeled Y) and the independent variables (labeled X1, X2, and X3) in the data file. Use Excel to perform the regression and correlation analysis to answer the following.

1. Generate a scatterplot for the specified dependent variable (Y) and the X1 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. Interpret results, including the p-value.
6. Based on the findings in Steps 1-5, analyze the ability of the independent variable to predict the designated dependent variable.
7. Compute the confidence interval for ?1 (the population slope) using a 95% confidence level. Interpret this interval.
8. Using an interval, estimate the average for the dependent variable for a selected value of the independent variable. Interpret this interval.
9. Using an interval, predict the particular value of the dependent variable for a selected value of the independent variable. Interpret this interval.
10. What can be said about the value of the dependent variable for values of the independent variable that are outside the range of the sample values? Explain.

• In an attempt to improve the model, use a multiple regression model to predict the dependent variable .Y, based on all of the independent variables. X1, X2, and X3.

1. Using Excel, run the multiple regression analysis using the designated dependent and three independent variables. State the equation for this multiple regression model.
2. Perform the Global Test for Utility (F-Test). Explain the conclusion.
3. Perform the t-test on each independent variable. Explain the conclusions and clearly state how the analysis should proceed. In particular, which independent variables should be kept 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 summarize results with discussion of analysis.
4. Is this multiple regression model better than the linear model generated in parts 1-10? Explain.

1. Part C report is due by the end of Week 7.
2. Part C is worth 100 total points. See grading rubric below.

Summarize your results from Steps 1-14 in a three-page report. The report should explain and interpret the results in ways that are understandable to someone who does not know statistics.

Submission: The summary report and all of the work done in 1-14 (Excel output and interpretations) as an appendix

Submit your assignment.

Format for report:

1. Summary Report
2. Points 1-14 should be addressed with appropriate output, graphs, and interpretations. Be sure to number each point 1-18.

Part C: Grading Rubric

CategoryPoints%DescriptionSteps 1-12 and step 14 worth 5 points each6565Addressed with appropriate output, graphs, and interpretationsStep 131515Addressed with appropriate output, graphs, and interpretationsCommunication Skills2020Writing, grammar, clarity, logic, and cohesivenessTotal100100A quality paper will meet or exceed all of the above requirements.

Starts (Y) Applications (X1) Time (X2) Years (X3) Training 48 84 12.3 5 ONLINE 36 66 16.4 NONE 46 81 15.7 NONE 47 92 13.0 ONLINE 44 89 15.3 J W W A 91 J W ONLINE 49 12.4 ONLINE 35 62 19.0 46 85 14.8 44 79 13.9 H W W NONE GROUP GROUP 39 73 15.4 3 GROUP 48 89 12.6 ONLINE 42 71 17.0 0 ONLINE 45 69 13.0 ONLINE 54 98 15.2 N ONLINE 43 73 16.4 O ONLINE 44 83 17.4 ONLINE 34 61 13.2 NONE 44 73 16.5 N NONE 40 66 18.2 NONE 51 91 17.9 ONLINE 41 76 18.0 NONE 45 73 15.6 ONLINE 52 95 13.2 ONLINE 39 75 19.4 OW W HN GROUP 41 75 13.2 GROUP 45 84 14.5 4 GROUP 46 95 20.0 GROUP 47 81 16.4 42 74 13.2 W W H ONLINE 45 86 19.4 44 83 15.0 ON GROUP ONLINE ONLINE 50 88 15.1 3 ONLINE 46 81 13.2 3 GROUP 53 94 11.0 ONLINE 39 68 17.3 0 NONE 39 68 17.7 84 15.9 46 84 OUT H ONLINE 48 ONLINE 10.1 ONLINE 43 75 17.4 3 GROUP44 76 15.2 2 GROUP 42 71 12.2 3 NONE 39 66 19.4 2 NONE 49 87 18.3 O ONLINE 41 77 14.5 4 NONE 42 66 20.2 3 GROUP 39 64 15.3 GROUP 37 63 13.4 4 NONE 46 90 15.1 4 NONE 45 83 19.5 5 NONE 44 76 16.0 2 ONLINE 50 90 12.8 3 ONLINE 39 70 18.2 1 NONE 43 77 15.3 1 ONLINE 45 82 17.2 3 ONLINE 42 70 18.6 2 NONE 44 83 19.2 2 NONE 45 86 12.6 3 GROUP 41 74 18.5 3 GROUP 43 76 17.2 1 GROUP 48 80 15.8 2 ONLINE 42 80 13.6 4 GROUP 46 93 14.1 3 GROUP 46 75 20.7 2 GROUP 43 78 11.2 3 ONLINE 45 79 16.3 4 ONLINE 48 85 12.1 ONLINE 45 88 18.3 2 GROUP 49 93 17.5 GROUP 51 91 11.4 4 GROUP 47 86 17.3 2 ONLINE 50 93 16.4 0 ONLINE 39 73 15.8 1 GROUP 42 78 18.6 2 GROUP 46 79 19.3 2 ONLINE 43 82 11.7 1 GROUP 54 88 14.2 ONLINE 51 88 12.0 N ONLINE 50 87 13.3 ONLINE 41 70 14.9 NONE 43 78 20.5 J W 2 ONLINE 40 73 18.2 N NONE42 74 10.5 2 GROUP 50 92 11.7 GROUP 49 96 13.1 IN GROUP 40 75 14.2 4 ONLINE 40 72 18.3 2 NONE 47 93 15.2 2 ONLINE 41 68 17.4 3 GROUP 51 99 13.0 ONLINE 43 77 13.2 38 65 15.2 44 79 11.8 43 75 12.7 47 88 13.9 40 77 16.4 43 76 14.3 46 77 22.0 46 84 14.8 O H W N H W W W GROUP NONE ONLINE GROUP GROUP GROUP GROUP ONLINE ONLINE 46 84 15.8 0 ONLINE 39 72 17.7 W NONE