What is the role of the bias term w_0 in the ordinary least squares regression?
Understand the Problem
The question is asking about the function and significance of the bias term $w_0$ in ordinary least squares regression, providing multiple options for clarification.
Answer
The bias term w_0 allows the regression line to not be constrained to pass through the origin.
The bias term w_0 in ordinary least squares regression is used to adjust the output independently of the input features, allowing the regression line to fit data points more accurately by not being constrained to pass through the origin.
Answer for screen readers
The bias term w_0 in ordinary least squares regression is used to adjust the output independently of the input features, allowing the regression line to fit data points more accurately by not being constrained to pass through the origin.
More Information
By including a bias term, the model gains flexibility to fit diverse datasets by allowing vertical shifts, thereby improving accuracy.
Tips
A common mistake is omitting the bias term, which restricts the model to pass through the origin, often leading to poor fitting.
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