Statistical Probability Testing and Regression
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A sample of eight observations of variables x and y is shown below:
[see attachment]
The correlation of x and y is -0.991.
1) Calculate and interpret the coefficients of determination (R-squared xy and R-squared yx).
2) How is the value of the correlation coefficient 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.
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Please see the attached file.
1) We know that the correlation is -0.991. That means that the coefficient of determination (R2xy) is equal to (-0.991)2.
(-0.991)2 = 0.982081
You can also do this automatically in Excel: 0.982266865
The numbers are slightly different because the correlation of -0.991 is an approximation.
You can find coefficient of determination (R2yx) in ...
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