For the given data, the calculation corresponding to all value of pairs (x,y) is following ∑(x-x¯)2=36,∑(y-y¯)2=25,∑(x-x¯)∑(y-y¯)=20. Then the Karl Pearson’s correlation coefficient is
0.2
0.5
0.66
0.33
Explanation for correct option:
Given,
∑(x-x¯)2=36,∑(y-y¯)2=25,∑(x-x¯)∑(y-y¯)=20
Karl Pearson relation.
r(x,y)=∑(x-x¯)∑(y-y¯)∑(x-x¯)2×∑(y-y¯)2Putallthevaluer(x,y)=2036×25r(x,y)=205×6r(x,y)=23r(x,y)=0.66
Hence, correct option is (C).