Linear Regression Model A linear model makes a prediction $\hat{y}_i$ by simply computing a weighted sum of the input $\boldsymbol{x}_i$, plus a constant $w_0$ called the bias term:
For single sample/instances $$ \hat{y}_i = f \left( \boldsymbol{x} \right) = w_0 + \sum_{j=1}^{D}w_{j} x_{i, j} $$