Question

Exarmine the computation formuls for r, the sample correlation cnefficdiant. (a) In the formula for r, it 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 resuit is the same because the formula is dependent on the O Tha resut is diterent 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 the same because the formula is not depondent on the symbols (b) If we have a set of x and y data values and we e both sets of data? Explain your answer a get a new data set, should the sample correlation coefficient be the same for O The result is difterent because the O The resut is Sfferent because the formula is not dependent on which values O The resut is the same because the formula is O The result is the same be b values are the y values values are the y values values are the y values is the šame for both, (Use 3 decimal places.) O Type here to search 6 8 9 P. G H 4 ? ZXC

I'm not quite sure what the formula is for r.. can anyone help me solve this problem.

Answer 1

Solution:-
a) option C. The result is the same because the formula is not dependent on symbols

b) option C. 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.

c)

i) r=0.5729

ii)r=0.5729

Explanation:-

1)

x 4 3 9 Y 1 4 5 The corelation coefficient is: r 0.5729 Explanation Step 1: Find X Y. x and Y2 as it was done in the table below X-Y R-Y 153 12 16 48i 81 25 Step 2: Find the sum of every column to get X2-106 Step 3: Use the following formula to work out the correlation coefficient. n.y.XY _ у-Х. уу 3-61-16-10 0.5729 3-106 -16 3.42-102