If bs are weights, Xs are input values, and c is a constant or intercept, provide the equation for discriminant functions, L.
A) $ L=\frac{\sum_{i=1}^{b_{i} X_{i}}}{c} $

B) $ L=b_{1} X_{1}+b_{2} X_{2}+\ldots+b_{n} X_{n}+c $

C) $ L=\sqrt{\frac{\sum_{i=1}^{x}\left(b_{i}-X_{i}\right)^{3}}{c^{3}}} $

D) $ L=\sqrt{\frac{b_{1} X_{1}+b_{2} X_{2}+\ldots+b_{n} X_{n}+c}{c}} $

Question

If bs are weights, Xs are input values, and c is a constant or intercept, provide the equation for discriminant functions, L. 
A) $ L=\frac{\sum_{i=1}^{b_{i} X_{i}}}{c} $

B) $ L=b_{1} X_{1}+b_{2} X_{2}+\ldots+b_{n} X_{n}+c $

C) $ L=\sqrt{\frac{\sum_{i=1}^{x}\left(b_{i}-X_{i}\right)^{3}}{c^{3}}} $

D) $ L=\sqrt{\frac{b_{1} X_{1}+b_{2} X_{2}+\ldots+b_{n} X_{n}+c}{c}} $

Quizplus · Accepted Answer

Discriminant functions are linear functions that weigh input values to classify data points into categories. The equation for discriminant functions (L) is a linear combination of input values (Xs) weighted by corresponding weights (bs) plus a constant or intercept (c), which is given in option B. Options A, C, and D are not correct representations of this linear combination. Option A has the sum of products of weights and input values divided by the constant or intercept, which is not a linear combination. Option C has a cubic root and the subtraction of weights from input values, which is not a linear combination either. Option D has a square root and the division of the weighted sum by the constant or intercept, which is not a proper way to represent a linear combination.

If Bs Are Weights, Xs Are Input Values, and C L=∑i=1biXic L=\frac{\sum_{i=1}^{b_{i} X_{i}}}{c} L=c∑i=1bi​Xi​​​

If Bs Are Weights, Xs Are Input Values, and C $L=\frac{\sum_{i=1}^{b_{i} X_{i}}}{c}$