21 questions linked to/from Independent variable = Random variable?
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### Why isn't X treated as a random variable in linear regression MLE? [duplicate]

I am very confused by this because when I watch videos or read about MLE with linear regression it seems to be commonly assumed that $X$ is fixed or that if it is random we don't care for the purposes ...
1 vote
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### What happens if we assume predictors are random variables in linear regression? [duplicate]

In linear regression or Gaussian-Markov framework, $$Y = \beta_0 + \beta_1X+\epsilon,$$ where $\epsilon\sim(0,\sigma^2)$ we usually assume $X$ is non-random. In our statistics class, professors ...
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### Question regarding "independent variables" term in regression analysis definition [duplicate]

Definition: Regression analysis is used for explaining or modeling the relationship between a single variable Y, called the response, output or dependent variable, and one or more predictor, input, ...
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### What is meant by a "random variable"?

What do they mean when they say "random variable"?
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### What is the difference between variable and random variable?

I know that "variable" means "values which vary." In a simple linear regression model : $$Y=\beta_0+\beta_1X+\epsilon$$ $X$ is variable that is the values of $X$ vary. Why is $X$ not a random ...
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