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pearsons product moment correlation coefficient?

working out the value of R in pearons product moment correlation coeficient can you help me here are my values:

http://equation.t83.net/

1 Answer

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  • cidyah
    Lv 7
    1 decade ago
    Favorite Answer

    Number of cases 18

    ∑ X = 1429

    ∑ Y = 1203

    ∑ X^2 = 121127

    ∑ Y^2 = 136829

    ∑ XY = 81652

    ∑ X ∑ Y = 81652

    r

    = ( ∑ XY - ∑X ∑Y / n ) / SQRT { [∑ X^2 - (∑X)^2 / n] [∑ Y^2 - (∑Y)^2 / n]}

    Numerator of r = (81652) - (1429)(1203) / 18 = -13852.833333

    Denominator of r =

    SQRT[121127 - (1429)^2 / 18] * SQRT[136829 - (1203)^2 / 18]

    = SQRT[7680.277778] * SQRT[56428.5]

    r = -13852.833333 / [87.63719] * [237.54684]

    Correlation coefficient r = -0.6654

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