Let's work through an example - University of Kentucky
EDP 660 APPLICATION JOURNAL
Multiple Regression
Multiple Regression II Data Set posted on Website
Part 1:
Online stock trading through the Internet has increased dramatically during the past several years. An article discussing this new method of investing provided data on the major Internet stock brokerages who provide this service. The data file presents some data for the top 10 Internet brokerages. The variables are Mshare, the market share of the firm; Accts, the number of Internet accounts in thousands; and Assets, the total assets in billions of dollars. These firms are not a random sample from any population but we will use multiple regression methods to develop statistical models that relate assets to the other two variables.
• Use a simple linear regression to predict Assets using the number of Accounts. Give the regression equation and the results of the significance test for the regression coefficient.
• Do the same using Market Share to predict Assets.
• Run a multiple regression using both the number of accounts and market share to predict assets. Give the multiple regression equation, the F statistic, and (if appropriate) the results of the significance tests for the two regression coefficients.
• Compare the above results. If you had to choose one of the three models, which would you prefer?
Part 2:
• Reconsider the relationship of Assets and number of Accounts. Does a linear or curvilinear model better explain the variation in Assets? How do you determine this?
• Create a new column in your dataset in which you square the independent variable (Calc( Calculator; indicate the column where the new values will be stored, then enter ‘Accts’ * ‘Accts’ in the Expression window.)
• Run a regression analysis and interpret the β estimates.
• Compare these results with what you found in part 1.
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