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Using X values 10, 20,12,25,15,9,22,14,16,10And Y values 65,85,70,93,75,50,90,78,80,99 To calculate r we basically STANDARDIZE (as in calculating :- values) each X and Y variable. Remember

Using X values 10, 20,12,25,15,9,22,14,16,10And Y values 65,85,70,93,75,50,90,78,80,99

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To calculate \"r" we basically STANDARDIZE (as in calculating :- values) each X and Y variable. Remember the formula for "z "? For the X variables it is In = (X1 mean of X) / 5x and we do this for every X value and for every Y value. The formula does not look that simple, hOWever, but it works\" HERE IS THE FORMULA FOR CALCULATING "r\" (remember that I means SUM and that the 20(1) each X value and then adding up (summing up) all those 5 values and then squaring that sum. = squaring quared numbers ; whereas (EX)2 = adding up the X ,. : nzey) (may) ______ Ill nEx2 ~ (Zx)2IrzEy2 - (2)02] OR, IF THAT is NOT QUITE CLEAR IT IS: r = [ nz (X*Y) (2X) * (ZY) ] / \\I {[nZXZ (2)02] * [n zvz - (ZY)2]} 4) SHOW your setup in the equation and then calculate the resulting r: r = Keep in mind that "r\" MUST be between 0 and 1. If you get a vaiue greater than 1, it's a math error. Always doubleCheck your calculation anyway. NOW, calculate the COEFFICIENT OF DETERMINATION (r2): This is how much of the variation in y is explained by the variation in x (expressed as a %) WE CAN ALSO USE THE "H' VALUE ALONG WITH THE STANDARD DEVIATIONS OF x AND Y T0 CALCULATE THE \"BEST FIT" LINE SLOPE (b): SLOPE: b = r (Sx/Sy) 96

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