Write a short note on regression through the origin.

Regression Through the Origin

Regression through the origin is a special case of linear regression where the intercept term is constrained to be zero. In other words, the regression line is forced to pass through the origin (0,0). This approach can be applied when it is theoretically justified that the dependent variable should be zero when the independent variable is zero, implying that there is no constant term or baseline level in the model.

Mathematical Formulation:

In standard linear regression, the model is expressed as:

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