do not plaigiarize Preparation 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, 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 ten (10) possible pairings of two (2) 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 for three 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 on three 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. 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 the grading rubric below. Submission: The report, including all relevant graphs and numerical analysis along with interpretations Format for report: A. Brief Introduction B. Discuss the first individual variable, using graphical, numerical summary and interpretation. C. Discuss the second individual variable, using graphical, numerical summary and interpretation. D. Discuss the third individual variable, using graphical, numerical summary and interpretation. E. Discuss the first pairing of variables, using graphical, numerical summary and interpretation. F. Discuss the second pairing of variables, using graphical, numerical summary and interpretation. G. Discuss the third pairing of variables, using graphical, numerical summary and interpretation. H. Conclusion Part A: Grading Rubric Category Points % Description Three individual variables12 points each 36 36 Graphical analysis, numerical analysis (when appropriate), and interpretation Three relationships 15 points each 45 45 Graphical analysis, numerical analysis (when appropriate), and interpretation Communication skills 19 19 Writing, grammar, clarity, logic, cohesiveness, Category Points % Description adherence to the above format Total 100 10 0 A quality paper will meet or exceed all of the above requirements. Part B: Hypothesis Testing and Confidence Intervals The data file includes four hypotheses labeled a. - d. a. Mean sales per week exceeds 41.5 per salesperson b. Proportion receiving online training is less than 55% c. Mean calls made among those with no training is less than 145 d. Mean time per call is greater than 15 minutes 1. 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. 2. 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. 3. Write a 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. 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. Format for report: A. Summary Report (about one paragraph on each of the speculations a. - d.) B. Appendix with the calculations of the Seven Elements of a Test of Hypothesis, the p-values, and the confidence intervalsinclude the Excel formulas used in the calculations. Part B: Grading Rubric Category Points % Description Addressing each speculation20 points each 80 80 Hypothesis test, interpretation, confidence interval, and interpretation Summary report clarity 20 20 One paragraph on each of the speculations Total 100 10 0 A 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. 11. 12. Using Excel, run the multiple regression analysis using the designated dependent and three independent variables. State the equation for this multiple regression model. Perform the Global Test for Utility (F-Test). Explain the conclusion. 13. 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. 14. Is this multiple regression model better than the linear model generated in parts 1-10? Explain. 15. All DeVry University policies are in effect, including the plagiarism policy. 16. Part C report is due by the end of Week 7. 17. 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 Format for report: A. B. Summary Report Points 1-14 should be addressed with appropriate output, graphs, and interpretations. Be sure to number each point 1-14. Part C: Grading Rubric Point s % Description Steps 1-12 and step 14, worth 5 points each 65 65 Addressed with appropriate output, graphs, and interpretations Step 13 15 15 Addressed with appropriate output, graphs, and interpretations Category Category Point s % Description Communication skills 20 20 Writing, grammar, clarity, logic, and cohesiveness Total 100 100 A quality paper will meet or exceed all of the above requirements. Location Income ($1,000) Urban 27 Rural 25 Suburban 25 Suburban 26 Rural 30 Urban 29 Rural 33 Urban 30 Suburban 32 Urban 34 Urban 35 Urban 40 Rural 30 Rural 33 Urban 42 Suburban 32 Urban 43 Urban 43 Rural 33 Urban 47 Suburban 35 Urban 54 Suburban 42 Rural 36 Urban 57 Suburban 44 Rural 38 Urban 54 Urban 54 Suburban 46 Rural 40 Urban 60 Urban 58 Urban 61 Urban 61 Urban 62 Suburban 49 Urban 68 Suburban 57 Rural 45 Urban 71 Suburban 57 Suburban 64 Rural 45 Urban 74 Suburban 65 Rural 47 Rural 53 Suburban 66 Size 1 4 1 1 5 1 6 1 2 1 1 1 6 6 2 2 2 2 7 2 3 2 3 7 3 3 7 3 3 4 7 4 4 5 5 6 5 6 6 8 7 7 8 8 7 8 8 8 8 Years 2 2 1 2 5 3 10 4 4 6 8 9 9 11 10 4 10 10 13 10 5 11 5 13 11 6 15 8 10 6 15 11 10 13 13 14 8 14 8 16 15 9 9 17 19 10 18 18 10 Credit Balance($) 2,631 2,047 3,155 3,913 2,660 3,531 2,766 3,769 4,082 3,806 4,049 4,073 2,697 2,914 4,073 4,310 4,199 4,253 3,104 4,293 4,456 4,340 4,925 3,178 4,391 4,947 3,203 4,354 4,366 5,003 3,250 4,402 4,397 4,595 4,786 4,888 5,148 5,011 5,220 3,257 5,528 5,283 5,332 3,304 5,553 5,484 3,342 3,788 5,756 Suburban 69 8 10 5,861 Employee Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 SALES 46 34 44 45 42 47 33 44 42 37 46 40 43 52 41 42 32 42 38 49 39 43 50 37 39 43 44 45 40 43 42 48 44 51 37 37 46 44 41 42 40 37 47 39 40 37 35 44 43 CALLS 171 134 165 186 180 184 126 172 161 149 181 145 140 198 149 168 124 149 135 185 154 149 193 153 152 170 192 165 150 174 168 178 164 191 139 138 171 170 153 154 144 134 177 157 134 131 129 183 169 TIME 12.7 17.0 15.7 13.0 14.8 12.4 20.2 14.4 13.9 15.4 12.2 16.0 17.0 13.5 17.3 12.9 17.5 16.5 18.2 18.6 18.3 15.6 13.2 18.7 15.0 14.7 14.6 16.4 15.3 15.6 15.0 15.1 16.5 11.8 14.4 17.7 15.9 11.2 18.0 15.1 14.0 16.9 17.2 14.5 20.2 18.3 18.4 15.1 14.0 YEARS 5 4 3 3 2 2 3 3 1 3 4 0 2 2 0 3 2 1 1 2 1 1 1 0 3 4 1 3 3 2 0 3 3 2 0 1 5 0 3 2 3 2 0 4 3 1 4 4 5 TYPE ONLINE NONE ONLINE ONLINE ONLINE ONLINE NONE GROUP GROUP NONE ONLINE NONE GROUP ONLINE ONLINE ONLINE NONE GROUP GROUP ONLINE NONE ONLINE ONLINE NONE GROUP GROUP GROUP ONLINE GROUP ONLINE ONLINE ONLINE GROUP ONLINE NONE NONE ONLINE ONLINE GROUP GROUP NONE NONE ONLINE NONE GROUP GROUP NONE ONLINE GROUP 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 42 48 37 41 43 40 42 43 39 41 46 40 44 44 41 43 46 43 47 49 45 48 37 40 44 41 52 49 48 39 41 38 40 48 47 38 38 45 39 49 41 36 42 41 45 38 41 44 44 44 155 182 143 157 167 142 168 175 150 155 163 162 189 153 158 160 173 178 189 184 174 188 149 159 160 166 178 178 176 143 159 149 151 186 194 152 146 188 139 201 156 132 161 152 178 157 154 156 170 170 16.0 12.8 12.0 13.5 14.8 15.8 12.1 14.8 18.0 17.9 16.6 13.6 14.1 20.9 13.4 11.2 12.1 18.3 13.1 11.4 14.0 14.6 15.8 14.6 14.8 17.4 14.9 12.0 13.3 15.5 18.8 14.7 16.6 13.1 13.1 14.2 19.7 10.0 19.3 12.5 11.8 19.5 16.3 14.6 16.4 16.4 14.3 21.6 12.5 15.8 2 2 1 1 3 2 2 2 2 1 2 4 3 2 3 4 1 2 1 4 2 0 1 2 2 1 1 2 1 2 2 2 2 1 2 4 2 2 3 1 3 2 3 1 2 3 1 0 1 0 ONLINE ONLINE NONE ONLINE ONLINE NONE GROUP GROUP GROUP GROUP ONLINE GROUP ONLINE ONLINE ONLINE ONLINE ONLINE GROUP ONLINE ONLINE ONLINE ONLINE GROUP GROUP ONLINE GROUP ONLINE ONLINE ONLINE NONE ONLINE NONE GROUP ONLINE ONLINE GROUP NONE ONLINE GROUP ONLINE GROUP NONE ONLINE ONLINE ONLINE GROUP GROUP ONLINE ONLINE ONLINE 100 37 146 17.7 3 NONE Legend: Employee Number is just as it sounds. SALES represents the number sales made this week. CALLS represents the number of sales calls made this week. TIME represents the average time per call this week. YEARS represents years of experience in the call center. TYPE represents the type of training the employee received