Answer:
Correlation coefficient = 0.8103
Solution:
We know the formula for the correlation coefficient r between the two variables is given as below:
Correlation coefficient = [n∑xy - ∑x∑y]/sqrt[(n∑x^2 – (∑x)^2)*(n∑y^2 – (∑y)^2)]
We are given
n = 10
∑x = 683
∑y = 813
∑x^2 = 47405
∑xy = 56089
∑y^2 = 66731
r = [n∑xy - ∑x∑y]/sqrt[(n∑x^2 – (∑x)^2)*(n∑y^2 – (∑y)^2)]
r = [10*56089 - 683*813]/sqrt[(10*47405 - 683^2)*(10*66731 - 813^2)]
r = 5611 / 6924.182
r = 0.810348
Correlation coefficient = 0.810348
This coefficient indicate that there is strong positive association exists between two variables.
Short Answer Question We have a dataset with n = 10 pairs of observations (Li, Yi),...
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