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What would be the coefficient of determination if the total sum of squares (SST) is 23.29 and the sum of squares due to regression (SSR) is 10.03?

Question

What would be the coefficient of determination if the total sum of squares (SST) is 23.29 and the sum of squares due to regression (SSR) is 10.03?

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Solution

To calculate the coefficient of determination, we need to use the formula:

R^2 = SSR / SST

Given that the SST is 23.29 and the SSR is 10.03, we can substitute these values into the formula:

R^2 = 10.03 / 23.29

Now we can calculate the coefficient of determination:

R^2 ≈ 0.43

Therefore, the coefficient of determination would be approximately 0.43.

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