lsjdocs/Ch12 — French @ Hosted Weblate: :doc:`Ch12_Regression

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	It’s worth noting in passing that this same F-statistic can be used to test a much broader range of hypotheses than those that I’m mentioning here. Very briefly, notice that the nested model M1 corresponds to the full model M2 when we constrain some of the regression coefficients to zero. It is sometimes useful to construct sub-models by placing other kinds of constraints on the regression coefficients. For instance, maybe two different coefficients might have to sum to zero, or something like that. You can construct hypothesis tests for those kind of constraints too, but it is somewhat more complicated and the sampling distribution for F can end up being something known as the non-central F-distribution, which is waaaaay beyond the scope of this book! All I want to do is alert you to this possibility.
	Summary
	Want to know how strong the relationship is between two variables? Calculate a :doc:`correlation <Ch12_Regression_01>`
	Drawing :doc:`scatterplots <Ch12_Regression_02>`
	:doc:`Basic ideas in linear regression <Ch12_Regression_03>` and :doc:`how regression models are estimated <Ch12_Regression_04>`
	:doc:`Ch12_Regression_05`	:doc:`Ch12_Regression_05`
	Measuring the :doc:`overall performance of a regression model using R\² <Ch12_Regression_06>`
	:doc:`Ch12_Regression_07`	:doc:`Ch12_Regression_07`
	:doc:`Calculating confidence intervals for regression coefficients and standardised coefficients <Ch12_Regression_09>`
	The :doc:`assumptions of regression <Ch12_Regression_10>` and :doc:`how to check them <Ch12_Regression_11>`
	:doc:`Selecting a regression model <Ch12_Regression_12>`

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