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scatter diagram equation

Statistics
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Σx = 58, Σx2 = 886, Σy = 632, Σy2 = 89,322, and Σxy = 8,727, n=5

Compute r and round to 3 decimal places. I have tried 1.033 and 1.034, which are both "wrong" on my homework. 

Feb 6th, 2015

   

based on the above formula, you also need a value for n

r = (8727n - 58*632) /  [ sqrt(n*886-58^2) * sqrt(n*89322 - 632^2)]

r = (8727*5 - 58*632) /  [ sqrt(5*886-58^2) * sqrt(5*89322 - 632^2)]

r = (43635 - 36656)  /  [sqrt(4410-3364) * sqrt(446610 - 399424)]

r = 6979 /   [sqrt(1046) * sqrt(47186)]

r = 6979 /   [32.3419 * 217.2233]

r = 6979  /  7025.42 = 0.993

Remember that an r value should always fall between -1 and 1

Feb 6th, 2015

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