Assumptions In Linear Regression Table Of Contents: What Is A Parametric Model? Assumptions In Linear Regression. (1) What Is A Parametric Model? Regression is a parametric approach. ‘Parametric’ means it makes assumptions about data for the purpose of analysis.  Due to its parametric side, regression is restrictive in nature. It fails to deliver good results with data sets that don’t fulfill its assumptions. Therefore, for a successful regression analysis, it’s essential to validate these assumptions. (2) Assumptions Of Linear Regression Model. Linear Relationship Between Input and Output. No Multicollinearity – No Linear Relationship Between Individual Variables. No Autocorrelation Of Error Terms.

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