Use of the R Model Multiple Linear Regression Questions
Directions: Please answer all questions. All point values are one unless marked. Partial credit is awarded on a case by case basis.
Your task is to create a multiple linear regression study. I am not providing you with data, it is your job to determine the variables and collect data. Please answer all of the questions below.
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Create a problem/study. Explain why the you have selected the dependent variable to study. (2 pts)
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Please find at least 4 total variables and one binary variable to use in your study. Describe the variables. (3 pts)
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Describe what you expect the relationship between the dependent and each independent variable. Specifically, explain what sign you expect each variable to be. (2 pts)
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Calculate the multiple linear regression using all variables.
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Interpret the adjusted R-squared. What do you conclude?
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Interpret the coefficient of the intercept.
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Choose a variable and create the 99th percent confidence interval.
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Interpret the F-test. What do you conclude?
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Calculate DFITTS. Are there outliers?
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Calculate COOKSD. Are there outliers?
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Interpret the QQ Plot. What do you conclude?
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Is there evidence of heteroskedasticty from the residual plot?
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Calculate the Breusch pagan test. What do you conclude?
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Calculate the VIFs. Is there evidence of multicollinearity? How do you know?
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Run forward stepwise regression using AIC criteria. (2 pts)
SAMPLE ASSIGNMENT