Simple linear regression: Difference between revisions

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Given <math>\widehat\beta = \tan(\theta) = dy / dx \rightarrow dy = dx\times\widehat\beta</math> with <math>\theta</math> the angle the line makes with the positive x axis,
we have <math>y_{\rm intersection} = \bar{y} - dx\times\widehat\beta = \bar{y} - dy</math>{{Clarify|date=April 2025|reason=This does not seem to make sense. y_{\rm intersection} is supposed to be the same as \alpha, right? But dx is not the same as \bar{x}!|text= |pre-text=remove or}}
 
=== Interpretation about the correlation===