Solve this Examine the computation formula for r, the sample correlation coeffic

Question

Solve this 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.)

Explanation / Answer

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

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