Figure 2.1(b) shows the relationship of correlation to Euclidean distance for 100,000 randomly generated points that have been standardized to have a mean of 0 and a standard deviation of 1. What general observation can you make about the relationship between Euclidean distance and correlation when the vectors have been standardized to have a mean of 0 and a standard deviation of 1?

Here, we further explore the cosine and correlation measures.

Same as previous answer, but with correlation substituted for cosine.Same as previous answer, but with correlation substituted for cosine.