Examine the computation formula for r, the sample correlation coefficient. (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)...

Examine the computation formula for
r, the sample correlation coefficient.

Extracted text: Examine the computation formula for r, the sample correlation coefficient. (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 your answer. O The result is the same because the formula is dependent on the symbols. O The result is different because the formula is not dependent on the symbols. O The result is different because the formula is dependent on the symbols. O The result is the same because the formula is not dependent on the symbols. (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 your answer. O The result is different because the formula is dependent on which values are the x values and which values are the values. O The result is the same because the formula is dependent on which values are the x values and which values are the y values. O The result is the same because the formula is not dependent on which values are the x values and which values are the y values. O The result is different because the formula is not dependent on which values are the x values and which values are the y values. (c) Compute the sample correlation coefficient r for each of the following data sets and show that r is the same for both. (Round your answers to four decimal places.) (i) 3 7 9 4 4 (ii 4 4 5 3 7 In USE SALT (i) (ii)