MAT 101 Casein Mathematics by Euler
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Look at the data below for the income levels and prices paid for cars for ten people:
Annual Income Level
Amount Spent on Car
Answer the following questions:
A. What kind of correlation do you expect to find between annual income and amount spent on car? Will it be positive or negative? Will it be a strong relationship? Base your answer on your personal guess as well as by looking through the data.
B. What is the direction of causality in this relationship - i.e. does having a more expensive car make you earn more money, or does earning more money make you spend more on your car? In other words, define one of these variables as your dependent variable (Y) and one as your independent variable (X).
C. What method do you think would be best for testing the relationship between your dependent and independent variable, ANOVA or regression? Explain your reasoning thoroughly with a discussion of both methods.
D. Go to this calculation page and enter in your data in the X and Y columns (don't use commas, enter 8,000 as 8000). Then click on the button "Y=MX B". Then click on the "graph" button. Write out your equation as calculated, along with your coefficients. Discuss the significance and interpretation of this result, and discuss your graph.
Case assignment expectations:
Use information from the modular background readings as well as any good quality resource you can find. Please cite all sources and provide a reference list at the end of your paper.
The following items will be assessed in particular:
Your ability to explain the limitations of the linear regression method.
Your ability to describe ANOVA and identify when the ANOVA method should be used.
Your ability to describe the correlation analysis and identify when the coefficient of correlation should be calculated.
- Your ability to identify when the Least Squares method should be used.