Bivariate statistical measures REGRESSION AND CORRELATION

Bivariate statistical measures REGRESSION AND CORRELATION

1. These two variables are related, such as weight and height, income and expenses, production and consumption, etc. It is important to establish the relationship between them, this procedure is called regression and correlation analysis, and to be able to evaluate one of them based on the other.

2. Regression

   • Statistical method developed to investigate such relationships, term was used by Galton to indicate the relationships of biological inheritance.
     • regression analysis
       • Mathematical equation that allows us to describe the relationship between two variants, obtain a line known as the regression line that describes the relationship or dependency between two variants

3. The relationship that exists between the two variants is classified as:

   • Unilateral causal dependence
     • when one of the variables influences the other, but not vice versa
     • Interdependence
       • when the influence between the two variants is reciprocal, bilateral dependence.
       • Indirect dependence
         • Concordance
           • Causal covariation
             • when the correlation that occurs between the two variables is completely causal or accidental.
           • it is presented in two independent variables which are called the correlation that may exist
         • when two variants can show a correlation through a third variable that influences each other

4. The line or mathematical function in the case of an independent or explanatory variable, with these functions most of the situations that arise in daily life can be solved and can be expressed through

   • Line or linear function
     • Parable of the second degree
       • Exponential function
         • Potential function

5. Correlation

   • Statistical measure that expresses to what extent two variables are linearly related.
   • Correlation analysis
     • Describes the degree of strength with which this relationship occurs, a measure known as the correlation coefficient or Pearson correlation is used. It allows to measure the strength of association between two variables, and to know the value or known average for the other variable called independent

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