From the following data, compute Karl Pearson's coefficient of correlation: Y-Series 7 X-Series 7. 4 28 Number of items Arithmetic Mean Sum of square of deviations from Arithmetic Mean 8 76 Summation of product of deviations of X and Y series from their respective means is 46.
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We are given
N=7,X¯¯¯=4,Y¯¯¯=8,∑x2=28,∑y2=76,∑xy=46
r=∑xy∑x2×∑y2−−−−−−−−−−−√
Substituting the values, we get
r=4628×76−−−−−−√=462,128−−−−−√=4646.13−−−−√=0.997
Coefficient of Correlation (r)=0.997
Explanation:
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