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.

Question

Amelie

Mathematics

13 May, 23:31

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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Answers (1)

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Jaylee Kim · Answer 1

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.