Solve this Examine the computation formula for r the sample

Examine the computation formula for r, the sample correlation coefficient. 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 your answer. 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 your answer. Compute the sample correlation coefficient r for each of the following data sets and show that r is the same for both. (Use 3 decimal places.)

Solution

a) the result is the same because formula is not dependent on symbols

b) Option 3 is right

c) i) 0.7954

   ii) 0.7954