Q. 4. Find the correlation coefficient between X and Y X 57 58 59 59 60 61 62 64 Y 77 78 75 78 82 82 79 81
Answers
0.6 is correlation coefficient between x and y
Step-by-step explanation:
x 57 58 59 59 60 61 62 64
x mean = 60
y 77 78 75 78 82 82 79 81
y mean = 79
x y a=x - xmean b= y - ymean a² b² ab
57 77 -3 -2 9 4 6
58 78 -2 -1 4 1 2
59 75 -1 -4 1 16 4
59 78 -1 -1 1 1 1
60 82 0 3 0 9 0
61 82 1 3 1 9 3
62 79 2 0 4 0 0
64 81 4 2 16 4 8
Total 36 44 24
Correlation coefficient = 24/(√36*√44)
= 2/√11
= 0.6