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If the value of r between X and Y is .90, what percentage of the variance in Y is explained by X?

Group of answer choices
45%
0%
90%
81%

User Noman Ali
by
8.6k points

1 Answer

4 votes
The percentage of the variance in Y explained by X is given by the square of the correlation coefficient (r) between X and Y.

In this case, the value of r between X and Y is 0.90. To find the percentage of the variance in Y explained by X:

Percentage explained variance = r^2 * 100
Percentage explained variance = (0.90)^2 * 100
Percentage explained variance = 0.81 * 100
Percentage explained variance = 81%

So, the correct answer is 81%.
User Wexxor
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7.5k points