Expand Your Knowledge: Effect on r of Exchanging x and y
Chapter , Problem 18(choose chapter or problem)
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.
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