in the context of regression, determine wether the
following statement is true or false.
If there is a very strong correlation between x and y, the amount
of unexplained variation should be relatively large.
If there is a very strong correlation between x and y, the amount of unexplained variation should be relatively large.
This is true.
Consider an example; we are given with the two variables having correlation coefficient, r = 0.912, which is a very strong correlation between x and y. Now, we know that the explained variation, r2 is the square of the correlation coefficient. Therefore, r2 = 0.9122 = 0.8317. Therefore, the amount of unexplained variation = 1 - 0.8317 = 0.1683.
Thus, we can say that if there is a very strong correlation between x and y, the amount of unexplained variation should be relatively large.
in the context of regression, determine wether the following statement is true or false. If there...
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