Consider the following set of data:

a. Calculate the correlation coefficient of these two variables.
b. Multiply each value of the variable x by 5 and add 10 to the resulting products. Now multiply each value of the variable y by 3 and subtract 7 from the resulting products. Finally, calculate the correlation coefficient of the new x and y variables.
c. Describe the principle that the example developed in parts a and b demonstrates.

48 27 34 24 49 29 39 38 46 32 y 47 23 3 20 50 48 47 47 42 47