How we establish a relationship with a dependent variable and Independent variable? The answer is in Statistics in the form of Regression Analysis. This is a technique for the analysis of numerical data consisting of two variable - Dependent variable also known as Response Variable and Independent Variable also known as Explantory variable. Most commonly the best fit is evalauted and calculated by the Least squares method.
What is the use of Regression Analysis ? Regression is used for forecasting , inference, hypothesis testing and casual relationships.
The term " Regression " was given by Francis Galton.
It is convenient to assume an environment in which an experiment is performed: the dependent variable is then outcome of a measurement.
Y= F ( X, B)
The regression equation deals with the following variables:
The unknown parameters denoted as β; this may be a scalar or a vector of length k.
The independent variables, X.
The dependent variable, Y.
Regression equation is a function of variables X and β.
and the equation of straight line is
y= ax+b where we have to find out the value of a and b then we find out the relation between the independent variable and dependent variable.
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Nice summary of Regressino analysis Thanks :)
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