Relating Two Variables
Math 550 at UNC, Summer 2008
The following files include information on covariation, including regression, residual analysis, and correlation. Click on the "Preview" thumbnails to see a slideshow of the documents, or click the "PDF" button to download a handout.
Downloadable Handouts
| Document Title |
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| Relationship between Two Variables |
Seven data sets relating variables from temperature and cricket chirp rates to sodium and fat content in fast food. |
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| Return to Old Faithful |
Use scatterplots and the linear correlation coefficient to calculate correlation. |
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| Old Faithful Regression |
Understand the least squares line in the context of geiser eruption intervals. |
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| A Graphical Interpretation of r |
Derive a formula for the correlation coefficient using graphical representations of a least-squares regression line. |
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| The Coefficient of Determination |
Learn to interpret to coefficient of determination as the percentage of total variation in the response variable that is explained by the least-squares regression line |
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| Residual Analysis |
Use a graphing calculator to analyze the errors in predicitions made by a regression line (from Old Faithful). |
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| Identifying Influential Observations |
Understand how an influential observation can affect the slope, intercept, and fit of a least squares regression line. |
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| Big Box-Office Bucks |
Learn to use a logarithmic transformation and linear regression in a situation of exponential decay (box office sales for Kung Fu Panda). |
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| Kepler’s Law |
Use a variety of non-linear regression techniques to model relationships among planetary orbits. |
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