Problems tagged with "linear and quadratic discriminant analysis"

Suppose a data set of points in \(\mathbb R^2\) consists of points from two classes: Class 1 and Class 0. The mean of the points in Class 1 is \((3,0)^T\), and the mean of points in Class 0 is \((7,0)^T\). Suppose Linear Discriminant Analysis is performed using the same covariance matrix \(C = \sigma^2 I\) for both classes, where \(\sigma\) is some constant.

Suppose there were 50 points in Class 1 and 100 points in Class 0.

Consider a new point, \((5, 0)^T\), exactly halfway between the class means. What will LDA predict its label to be?