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A key mathematical property of the Pearson correlation coefficient is that it is invariant under separate changes in location and scale in the two variables. That is, we may transform X to a + bX and transform Y to c + dY, where a, b, c, and d are constants with b, d > 0, without changing the correlation coefficient.
Joseph Eugene Stiglitz ( / ˈstɪɡlɪts /; born February 9, 1943) is an American New Keynesian economist, [2] a public policy analyst, and a full professor at Columbia University. He is a recipient of the Nobel Memorial Prize in Economic Sciences (2001) [3] and the John Bates Clark Medal (1979). [4] He is a former senior vice president and ...