Difference between revisions of "Página de pruebas"
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| − | + | In general, there are 3 main stages in Linear regression: | |
| − | + | : '''1'''. Use '''Least-squqres''' to fit a line to the data | |
| − | + | : '''2'''. Calculate <math>R^2</math> | |
| + | : '''3'''. Calculate a <math>p-value</math> for <math>R^2</math> | ||
| + | |||
| + | <br /> | ||
| + | : '''1. Use '''Least-squares''' to fit a line to the data''' | ||
| + | :* First, draw a line through the data. | ||
| + | :* Second, calculate the '''Residual sum of squares''': Measure the distance from the line to the each data point (residual), square each distance, and then add them up. | ||
| + | ::: The distance from a line to a data point is called a '''residual''' | ||
| + | :* Then, we rotate the line a little bit and calculate the RSS | ||
| + | :* ... | ||
| + | :* ... | ||
| + | :* Then, we find the rotation that has the least RSS. | ||
Revision as of 20:01, 27 December 2020
Simple Linear Regression
https://www.youtube.com/watch?v=nk2CQITm_eo&t=267s
In general, there are 3 main stages in Linear regression:
- 1. Use Least-squqres to fit a line to the data
- 2. Calculate
- 3. Calculate a for
- 1. Use Least-squares to fit a line to the data
- First, draw a line through the data.
- Second, calculate the Residual sum of squares: Measure the distance from the line to the each data point (residual), square each distance, and then add them up.
- The distance from a line to a data point is called a residual
- Then, we rotate the line a little bit and calculate the RSS
- ...
- ...
- Then, we find the rotation that has the least RSS.
The regression equation:
- Dependent variable: :
- Independent variable: :
- Slope:
- The slope is the amount of change in units of for each unitchange in .
- intercept: :