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===Simple Linear Regression===
 
https://www.youtube.com/watch?v=nk2CQITm_eo&t=267s
 
  
 
*'''1''' Use '''Least-squqres''' to fit a line to the data
 
 
*'''2''' Clculate <math>R^2</math>
 
 
*'''3''' Calculate a <math>p-value</math> for <math>R^2</math>
 
 
 
 
 
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<!-- [[File:SimpleLinearRegression.png|350px|thumb|center|]] -->
 
 
[[File:SimpleLinearRegression2.png|600px|center|]]
 
 
 
'''The regression equation:'''
 
<math> y = a + bx </math>
 
 
* Dependent variable: <math> y </math>:
 
* Independent variable: <math> x </math>:
 
* Slope: <math> b = r \frac{S_y}{S_x}</math>
 
: The slope is the amount of change in units of <math>y</math> for each unitchange in <math>x</math>.
 
* <math> y </math> intercept: <math> a = \bar{y} - b\bar{x} </math>:
 
 
 
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Latest revision as of 22:25, 23 February 2026