MTH-416, REGRESSION ANALYSIS Lecture Notes - Lecture 14: Random Variable, Cumulative Distribution Function, Likelihood Function
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21 Jul 2021
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In the linear regression model x , there are two types of variables explanatory variables and study variable y . These variables can be measured on a continuous scale as well as like an indicator variable. When the explanatory variables are qualitative, then their values are expressed as indicator variables, and then dummy variable models are used. When the study variable is a qualitative variable, then its values can be expressed using an indicator variable taking only two possible values 0 and 1. In such a case, the logistic regression is used. For example, y can denotes the values like success or failure, yes or no, like or dislike, which can be denoted by two values 0 and 1. 2 ik i n x ik k i where x i x . The study variable takes two values as iy or 1. 0 iy follows a bernoulli distribution with a parameter.
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