Math 533 Part C Essay Example
August 26, 2012
MATH 533
Course Project Part C
Professor Khago
Introduction:
The following report displays regression and correlation analysis for AJ Davis Department Stores data on credit balance and size. We will use the data collected from 50 credit customers to complete the following analysis; * Generate a scatterplot for CREDIT BALANCE vs. SIZE, including the graph of the "best fit" line. Interpret. * Determine the equation of the "best fit" line, which describes the relationship between CREDIT BALANCE and SIZE. * Determine the coefficient of correlation. Interpret. * Determine the coefficient of determination. Interpret. * Test the utility of this regression model (use a two tail test with α =.05). Interpret your results, including the p-value. * Based on your findings in 1-5, what is your opinion about using SIZE to predict CREDIT BALANCE? Explain. * Compute the 95% confidence interval for. Interpret this interval. * Using an interval, estimate the average credit balance for customers that have household size of 5. Interpret this interval. * Using an interval, predict the credit balance for a customer that has a household size of 5. Interpret this interval. * What can we say about the credit balance for a customer that has a household size of 10? Explain your answer. * Using MINITAB run the multiple regression analysis using the variables INCOME, SIZE and YEARS to predict CREDIT BALANCE. State the equation for this multiple regression model. * Perform the Global Test for Utility (F-Test). Explain your conclusion. * 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. * Is this multiple regression model better than the linear model that we generated in parts 1-10? Explain.
I will generate the data and provide analysis concerning the 50 credit
MATH 533
Course Project Part C
Professor Khago
Introduction:
The following report displays regression and correlation analysis for AJ Davis Department Stores data on credit balance and size. We will use the data collected from 50 credit customers to complete the following analysis; * Generate a scatterplot for CREDIT BALANCE vs. SIZE, including the graph of the "best fit" line. Interpret. * Determine the equation of the "best fit" line, which describes the relationship between CREDIT BALANCE and SIZE. * Determine the coefficient of correlation. Interpret. * Determine the coefficient of determination. Interpret. * Test the utility of this regression model (use a two tail test with α =.05). Interpret your results, including the p-value. * Based on your findings in 1-5, what is your opinion about using SIZE to predict CREDIT BALANCE? Explain. * Compute the 95% confidence interval for. Interpret this interval. * Using an interval, estimate the average credit balance for customers that have household size of 5. Interpret this interval. * Using an interval, predict the credit balance for a customer that has a household size of 5. Interpret this interval. * What can we say about the credit balance for a customer that has a household size of 10? Explain your answer. * Using MINITAB run the multiple regression analysis using the variables INCOME, SIZE and YEARS to predict CREDIT BALANCE. State the equation for this multiple regression model. * Perform the Global Test for Utility (F-Test). Explain your conclusion. * 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. * Is this multiple regression model better than the linear model that we generated in parts 1-10? Explain.
I will generate the data and provide analysis concerning the 50 credit