Here is a short dataset consisting of a binary outcome variable Y and two independent variables X$1$ and X$2.$ The independent variables are normalized, so no need to normalize further.

$$

X$1$X$2$Y$351140320221411$

$$

Suppose you are asked to predict the outcome for $($X$1,$ X$2)=(4,4).$ Use KNN with k $=3$ to predict this outcome. You can use Euclidean distance as the distance measure.

Predict the outcome with k $=5.$

Use k $=3$ with Manhattan distance and reevaluate the prediction. Should the prediction with k $=5$ change? Why or why not? Is there another name you can use to call the prediction with k $=5.$