Math 533 Applied Managerial Statistics Course Project

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June 7th, 2024

Math 533Applied Managerial StatisticsCourse ProjectYour instructor will provide you with a data file that includes data on five variables: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 receivedPart 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.Generate a scatterplot for the specified dependent variable (Y) and the X1 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. Interpret results, including the p-value.Based on the findings in Steps 1-5, analyze the ability of the independent variable to predict the designated dependent variable.Compute the confidence interval for ?1 (the population slope) using a 95% confidence level. Interpret this interval.Using an interval, estimate the average for the dependent variable for a selected value of the independent variable. Interpret this interval.Using an interval, predict the particular value of the dependent variable for a selected value of the independent variable. Interpret this interval.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.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.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.Is this multiple regression model better than the linear model generated in parts 1-10? Explain.All DeVry University policies are in effect, including the plagiarism policy.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 appendixFormat for report:Summary ReportPoints 1–14 should be addressed with appropriate output, graphs, and interpretations. Be sure to number each point 1–14.Sales (Y)48324447414632464233425042414144364738216745523733314444394342494140373646414942373721394449354643 Calls (X1)171139165186180184120172161143181148140198149168121149135185155149193159152170192165150174168178164191132140171170153154142130177160134131130183169 Time (X2)13.016.915.713.514.012.719.914.713.215.411.516.017.513.217.311.018.015.818.518.917.913.513.718.115.014.316.712.415.312.716.415.117.819.010.015.714.912.319.014.313.916.917.014.319.414.619.415.414.0 Years (X3)5433253313402205211211503413320335015032320451445 TypeONLINENONEONLINEONLINEONLINEONLINENONEGROUPGROUPNONEONLINENONEGROUPONLINEONLINEONLINENONEGROUPGROUPONLINENONEONLINEONLINENONEGROUPGROUPGROUPONLINEGROUPONLINEONLINEONLINEGROUPONLINENONENONEONLINEONLINEGROUPGROUPNONENONEONLINENONEGROUPGROUPNONEONLINEGROUP 4148394048504443333246485644344333495052454835444467514140454140474842412948334845364342495042444548 155182140157167144168175150155163162189153158160173178189184174188149159160166178178176138159145151186194152145188139201156131161152178157154156170170 16.013.012.415.414.815.812.413.614.917.916.614.515.015.314.210.917.518.314.311.413.613.615.614.614.818.916.513.412.615.318.814.716.614.213.614.519.011.319.312.513.218.517.314.616.415.915.320.014.217.4 22113225212432341214201221121222212422313231231015 ONLINEONLINENONEONLINEONLINENONEGROUPGROUPGROUPGROUPONLINEGROUPONLINEONLINEONLINEONLINEONLINEGROUPONLINEONLINEONLINEONLINEGROUPGROUPONLINEGROUPONLINEONLINEONLINENONEONLINENONEGROUPONLINEONLINEGROUPNONEONLINEGROUPONLINEGROUPNONEONLINEONLINEONLINEGROUPGROUPONLINEONLINEONLINE 39 144 17.7 3 NONE

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