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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.





SimpleLinearRegression2.png


The regression equation:

  • Dependent variable: :
  • Independent variable: :
  • Slope:
The slope is the amount of change in units of for each unitchange in .
  • intercept: :