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education/statistics/Correlation and Regression.md
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@ -8,14 +8,15 @@ If a scatter diagram is football shaped, it can be summarized using the 5-number
| Variable | Description | | Variable | Description |
| -- | -- | | -- | -- |
| $ave_x$ | The average of the set graphed along the X axis | | $\mu_x$ | The average of the set graphed along the X axis |
| $SD_x$| The standard deviation of set graphed along the X axis | | $\sigma_x$| The standard deviation of set graphed along the X axis |
| $ave_y$ | The average of the set graphed along the Y axis | | $\mu_y$ | The average of the set graphed along the Y axis |
| $SD_y$ | The standard deviation of the set graphed along the Y axis | | $\sigma_y$ | The standard deviation of the set graphed along the Y axis |
| $r$ | The correlation coefficient, or how closely clustered the datapoints are in a line| | $r$ | The correlation coefficient, or how closely clustered the datapoints are in a line |
The intersection of the averages of x and y will be the center of an oval shaped scatter diagram. Draw lines 2SDs from the center along each axis to generalize the shape of a scatter plot The intersection of the averages of x and y will be the center of an oval shaped scatter diagram. Draw lines $2\sigma$ (will contain ~95% of all data) from the center along each axis to generalize the shape of a scatter plot.
You can appr
### Association ### Association
- Positive association is demonstrated when the dots are trend upward as $x$ increases ($r$ is positive). - Positive association is demonstrated when the dots are trend upward as $x$ increases ($r$ is positive).
- Negative association is demonstrated when the the dots trend downward as $x$ increases ($r$ is negative). - Negative association is demonstrated when the the dots trend downward as $x$ increases ($r$ is negative).