# Tagged Questions

The coefficient of determination, usually symbolized by $R^2$, is the proportion of the total response variance explained by a regression model.

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### Why could pseudo $R$-squared (pseudo $R^2$) increase when I remove variables?

I have a multinomial logistic regression with $11$ independent variables. When I remove variables, the pseudo $R$-squared increases. Isn't this not supposed to happen? Why could this be happening?
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### Pseudo-r-squared glmer.nb

I am running a negative binomial generalised linear mixed model - glmer.nb()from the {lmer} package - to investigate the extent to which elevation (elev) can predict changes in the density of ...
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### Difference between selecting features based on “F regression” and based on $R^2$ values?

Is comparing features using F-regression the same as correlating features with the label individually and observing the $R^2$ value? I have often seen my ...
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### Calculating a large number of R-squared statistics in R

I have a very large number of R-squared statistics to collect, basically I'm collecting a monthly R-squared series for a period of around 25 years for a large number of variables where I'm interested ...
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### Is there any way that adjusted R squared would be greater than R squared?

Is there any way that adjusted $R^2$ would be greater than $R^2$? Including cases of extreme values of n and p and negative values of $R^2$.
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### Distinguishing between what makes up R-squared

I am interested in the relationship between religiosity and religious distrust (would you dislike having as neighbours people of different religions). One of my main goals is to make the role of each ...
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### Coefficient of determination in ARIMA model vs linear regression

In an ARIMA model, $R^2$ can be computed from squared correlation between fitted and actual values. My question is, is this $R^2$ the same as the $R^2$ in linear regression?
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### If two traits have known correlation, can you predict probability they'll “align” for a random pair?

Suppose you have two traits that are correlated in a given population, like a person's BMI and their blood pressure. And let's say I want to estimate the probability that in a randomly-selected pair ...
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