Understanding Basic Statistics 6th Edition by Charles Henry Brase,Corrinne Pellillo Brase

Exercise 40

Expand Your knowledge: Effect on r of Exchanging x and y values Examine the computation formula for r , the sample correlation coefficient [formulas (1) and (2) of this section].
(a) In the formula for r , if we exchange the symbols x and y , do we get a different result or do we get the same (equivalent) result Explain.
(b) If we have a set of x and y data values and we exchange corresponding x and y values to get a new data set, should the sample correlation coefficient be the same for both sets of data Explain.
(c) compute the sample correlation coefficient r for each of the following data sets and show that r is the same for both.