Question
Select two (2) variables that interest you AND that you think might have a linear relationship to each other. One example (please don't use it)
Select two (2) variables that interest you AND that you think might have a linear relationship to each other. One example (please don't use it) is how much you study has a positive effect on your grade. You must have at least 15 data values. Your PowerPoint slides must include: 1. Explain what variables you chose to collect data on and why you chose them. (3 points maximum) 2. What type of linear relationship did you think they would have (positive or negative) before you started? Why do you think this? Explain your reasoning. (3 points maximum) 3. Which variable is the Explanatory Variable and which is the Response Variable? Explain how you knew. (3 points maximum) 4. Describe the sampling method(s) in detail that you used to collect your data. (3 points maximum) 5. Explain anything that could have affected your results. (3 points maximum) 6. Define your population and sample. (2 points maximum) 7. Include a data table with your raw data in a two-column format (15 minimum). (2 points maximum) 8. Do some "graphing" with your data (do not show the work!): a. Create scatterplot (Scatter Diagram) with appropriate labeling (3 points maximum) b. Find the Least-Squares Regression Line and create new scatterplot (Scatter Diagram) that includes this line. (3 points maximum) 9. Provide some math and educated opinion: a. Explain in detail what your Least-Squares Regression equation tells you in the context of your problem. (3 points maximum) b. State the Least-Squares equation and use it to make at least 2 predictions with new or future Explanatory variables. Explain completely. (3 points maximum) c. Could you continue to make these predictions forever? Does it make mathematical sense? Explain why or why not. (3 points maximum) d. Find the Correlation Coefficient and explain/interpret it in context. (3 points maximum) e. Find the Coefficient of Determination and explain/interpret it in context. (3 points maximum) 10. Summarize your project and thoughts, including extensions, how it could be done differently, etc. (5 points maximum)
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