In a sample there are 3 male dogs and 3 female dogs. These dogs are couples such that the weight of the ith dog, and the Fi measures the weight of the ith dogs girlfriend. The correlation between M and F is exactly 1 and when the data points are graphed the slope of them are 1. Is it possible for some of these dogs to weight more than their female couple, while other dogs weight less then their female couple? And is it possible that all of the male dogs have couple female dogs that are all shorter than them?

In a sample there are 3 male dogs and 3 female dogs. These dogs are couples such that the weight of the ith dog, and the Fi measures the weight of the ith dogs girlfriend. The correlation between M and F is exactly 1 and when the data points are graphed the slope of them are 1. Is it possible for some of these dogs to weight more than their female couple, while other dogs weight less then their female couple? And is it possible that all of the male dogs have couple female dogs that are all shorter than them?