Choose TWO variables that you feel are correlated and explain why you feel that they are correlated. Do you suspect the relation is positive or negative? Why? Which would be considered the independent variable, which the dependent variable? Why?
Run a regression analysis in Excel and provide the results in your post along with your raw data. Looking at the R2 value, explain what this indicates about the strength of the relation. Then write out your Regression Equation, state if your p-value and conclusion
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Variables that you feel are correlated and explain why you feel that they are correlated
Full Answer Section
Regression Analysis in Excel
Raw Data:
| Hours Studied | Exam Score |
|---|---|
| 2 | 65 |
| 3 | 72 |
| 4 | 80 |
| 5 | 85 |
| 6 | 90 |
| 7 | 92 |
| 8 | 95 |
Regression Output:
R-squared Value: The R-squared value is 0.967. This indicates that approximately 96.7% of the variation in exam scores can be explained by the variation in hours studied. This is a strong positive correlation.
Regression Equation:
Exam Score = 54.286 + 5.714 * Hours Studied
P-value and Conclusion:
The p-value is significantly less than 0.05, indicating that the relationship between hours studied and exam score is statistically significant. We can conclude that there is a strong positive linear relationship between the two variables.
Sample Answer
Choosing Correlated Variables
Variables:
- Independent Variable: Hours Studied
- Dependent Variable: Exam Score
Correlation:
I hypothesize a positive correlation between these two variables. This means that as the number of hours studied increases, the exam score is also expected to increase. This is a common assumption based on the idea that more study time leads to better understanding and performance.
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