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23 March, 00:30

The paired data below consist of the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millimeters) : Temp 62 76 50 51 71 46 51 44 79 Growth 36 39 50 13 33 33 17 6 16 Find the value of the linear correlation coefficient r.

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  1. 23 March, 01:38
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    Step-by-step explanation:

    Given is a paired data which consist of temperatures (X in mm) and growth

    We have to find the linear correlation i. e. the measure of association between these two variables.

    x y xy x^2 y^2

    62 36 2232 3844 1296

    76 39 2964 5776 1521

    50 50 2500 2500 2500

    51 13 663 2601 169

    71 33 2343 5041 1089

    46 33 1518 2116 1089

    51 17 867 2601 289

    44 6 264 1936 36

    79 16 1264 6241 256

    Mean 58.88888889 27 1623.888889 3628.444444 916.1111111

    cov 33.88888889

    std dev x 13.43916333 14.50861813

    sx * sy

    r 0.195529176

    Hence we find that correlation coefficient 0.1955.
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