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regression - Why do we say the outcome variable "is regressed on" the ...
The word "regressed" is used instead of "dependent" because we want to emphasise that we are using a regression technique to represent this dependency between x and y. So, this sentence "y is regressed on x" is the short format of: Every predicted y shall "be dependent on" a value of x through a regression technique.
How does the correlation coefficient differ from regression slope?
The regression slope measures the "steepness" of the linear relationship between two variables and can take any value from $-\infty$ to $+\infty$. Slopes near zero mean that the response (Y) variable changes slowly as the predictor (X) variable changes.
When conducting multiple regression, when should you center your ...
In some literature, I have read that a regression with multiple explanatory variables, if in different units, needed to be standardized. (Standardizing consists in subtracting the mean and dividin...
Simple linear regression output interpretation - Cross Validated
I have run a simple linear regression of the natural log of 2 variables to determine if they correlate. My output is this: R^2 = 0.0893 slope = 0.851 p < 0.001 I am confused. Looking at the $...
When to use gamma GLMs? - Cross Validated
The gamma distribution can take on a pretty wide range of shapes, and given the link between the mean and the variance through its two parameters, it seems suited to dealing with heteroskedasticity...
Rules of thumb for minimum sample size for multiple regression
Would you suggest an alternative rule of thumb for minimum sample size for multiple regression? Alternatively, what alternative strategies would you suggest for determining minimum sample size for multiple regression? In particular, it would be good if value is assigned to the degree to which any strategy can readily be applied by a non ...
hypothesis testing - Significance contradiction in linear regression ...
For instance, if you run a regression with 4 explanatory variables, the same issues exist. In a well-designed experiment, IV's can be orthogonal, but people routinely worry about using Bonferroni corrections on sets of a-priori, orthogonal contrasts, and don't think twice about factorial ANOVA's. To my mind this is inconsistent.
regression - How exactly does one “control for other variables ...
Residuals I assume that you have a basic understanding of the concept of residuals in regression analysis. Here is the Wikipedia explanation: " If one runs a regression on some data, then the deviations of the dependent variable observations from the fitted function are the residuals". What does 'under control' mean?
Does simple linear regression imply causation? - Cross Validated
I know correlation does not imply causation but instead the strength and direction of the relationship. Does simple linear regression imply causation? Or is an inferential (t-test, etc.) statistica...
How to interpret coefficients of logistic regression using natural ...
The problem is that while I can do this with standard logistic regression, I don't know how to do this for the case of logistic regression using (natural cubic) splines. An example: doing logistic regression on the frequency of stellar bars in spiral galaxies, as a function of the total stellar mass of individual galaxies.
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