It is the same as Law of Diminishing Returns. Which is the postulate that as more units of a variable resource are combined with a fixed amount of other resources, using additional units of the variable resource will eventually increase profit only at a decreasing rate.
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A constant is not a variable at all, and none of its factors was a variable. It is constant.
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If your dependent variable is dummy coded (binary) then you must use a logistic regression for you analysis. There are two types; logit and probit. Both types return very similar results and your decision on which to use is based on personal preference and discipline standards. Economics and marketing tend to use probit while sociology tends to use logit.
It is a discrete random variable.