The accompanying data file contains 19 observations with two variables, x₁ and x₂.
a. Using the original values, compute the Euclidean distance for all possible pairs of the first three observations.
b. Based on the entire data set, find the minimum and maximum values for the three variables. Use the minmax transformation to normalize the values, and then compute the Euclidean distance for all possible pairs of the first three observations.
c. Using the original values, and then the min-max normalized values, compute the Manhattan distance for all possible pairs of the first three observations.