Question: Using the Households Data, perform a correlation matrix including all variables except ID. Which variables seem promising for a possible independent variable that explains Income.

  1. Using the Households Data, perform a correlation matrix including all variables except ID. Which variables seem promising for a possible independent variable that explains Income.
  2. Prepare scatter plot showing the relationship between income and a variable you identified in part (1). Properly format (trend line with equation, modify variable names rather than x & y, axes labels, etc.) Interpret the graph.
  3. Using forward stepwise procedure, develop a multi-regression model that explains income variable. For each variable added there should a separate regression result sheet.
  4. Why/how did you decide the variables in part (3) for your model? In other words, explain your reasoning.
  5. What is the Adjusted R square of your model? What does it mean?
  6. Is your model significant? Find (and state) the F-table value and compare it to the F-value in the model. Interpret the comparison.
  7. Are the independent variables individually significant?
  8. Write the regression equation.
  9. For the scenario below predict the salary of Debbie according to your model.

"Debbie recently graduated from the marine biology program of the University of California. Being an environmentalist, she decided to work for a non-profit organization called "Save Our Oceans". Being single, she lives in a 2-bedroom house with her cat, fish, and parrot (here think about a parrot joke and smile !). She commutes for about 30 minutes a day in her Toyota Prius. She works 40 hours a week."

10. Considering all independent variables, does there appear to be any multicollinearity among the independent variables? If so, which of the pairs of independent variables indicate multicollinearity?

Data Set Links and a Pictures

www.kaggle.com/dataset/8310dab9e87428e839ebfab48fccd40383466f3c3d14fe85fafbbb594dc1ee62

Using the Households Data, perform a correlation

Using the Households Data, perform a correlation

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