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Correct note on Multiple Regression.

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Marco Oesting 2023-10-10 07:53:07 +02:00
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material/3_wed/regression/MultipleRegressionBasics.qmd
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@ -107,9 +107,6 @@ normal distribution with mean 0.0 and standard deviation 2.0, and sample
3. Play with different choices of the parameters above (including the
sample size $n$) to see the effects on the parameter estimates and
the $p$-values.
::: {callout-note}
The more covariates you add the more variance can be explained by the linear model - $R^2$ increases. In order to balance goodness-of-tit of a model and its complexity, information criteria such as `aic` are considered.
:::
## Multiple Regression Model
@ -215,6 +212,10 @@ linmod3 = lm(@formula(Volume ~ Girth + Height + Girth*Height), trees)
r2(linmod3)
```
::: {callout-note}
The more covariates you add the more variance can be explained by the linear model - $R^2$ increases. In order to balance goodness-of-tit of a model and its complexity, information criteria such as `aic` are considered.
:::
## Generalized Linear Models
Classical linear model