How would the meaning of the confidence coefficient change if the predictor variable were considered a random variable?
A confidence coefficient or also called as confidence level determines how confident we are to get the same results if we keep repeating the statistical test
If the predictor variable is a random variable then a single confidence cofficient will have little meaning because of the variable nature of this random variable the coefficients value will be in a particular range or it could be far away from the range.
The confidence coefficient will have a confidence interval rather than one specfic value
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