Answer:
0.23
Step-by-step explanation:
Given the data:
____(x) __(y)__(x - m1) /s1 ___(y-m2) /s2
1 ___6 ___8__ - 0.2 _______0.625
2 __5 ___ 5__ - 0.7________ - 1.25
3 __9____6__ 1.3 ________ - 0.625
4__ 4____ 7__ - 1.2 ______ 0
5__ 8 ____9 _ 0.8 _______ 1.25
For English :
Mean score(m1) = 6.4
Standard deviation (s1) = 2.0
For Science :
Mean score (m2) = 7.0
Standard deviation (s2) = 1.6
n = number of observations = 5
Correlation Coefficient (r) :
r = 1/(n - 1) Σ[((X - m1) / s1) * ((Y - m2) /s2)]
(-0. 2 * 0.625) + (-0.7 * - 1.25) + (1.3 * - 0.625) + (-1.2 * 0) + (0.8 * 1.25) = 0.9375
r = 0.9375/(5-1)
= 0.234
= 0.23
