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Regression analysis is a form of predictive modelling technique which investigates the relationship between a dependent (target) and independent variable (s) (predictor). This technique is used for forecasting, time series modelling and finding the causal effect relationship between the variables.
The polynomial regression model. can be expressed in matrix form in terms of a design matrix, a response vector, a parameter vector, and a vector of random errors. The i th row of and will contain the x and y value for the i th data sample. Then the model can be written as a system of linear equations: