A sample of eight observations of variables x and y is shown below:
x 5 3 7 9 2 4 6 8
y 20 23 15 11 27 21 17 14
Also, Correlation of x and y = -0.991
i) Calculate and interpret the coefficient of determinations (Rxy2 and Ryx2 )
ii) How is the value of the correlation coefficient ryx affected in each of the following cases?
a) Each x value is multiplied by 3.
b) Each x value is switched with the corresponding y value.
c) Each x value is increased by 4.
Please see the attached file for detailed solution.
i) It means ...
The solution shows the relationship between the coefficient of determinations and correlation coefficient. It also explains how the correlation coefficient is affected by x values of the data.