If the standard error of estimate 5_yx = 18 and n = 10, then the error sum of squares, SSE, is: A)2916. B)2592. C)1800. D)3240.

Question

Quizplus · Accepted Answer

The formula for the error sum of squares (SSE) is: 
SSE = (n-2) * MSE 
where MSE is the mean square error, which is equal to the variance of the errors divided by the sample size: 
MSE = s^2 = (1/n) * Σ(ei - ȳ)^2

We are given the standard error of estimate (s), which is equal to the square root of MSE:
s = √(MSE)

Using the given values, s = 18, n = 10, we can solve for MSE: 
s^2 = MSE/n 
18^2 = MSE/10 
MSE = 3240/10 
MSE = 324

Finally, we can calculate SSE: 
SSE = (n-2) * MSE 
SSE = (10-2) * 324 
SSE = 8 * 324 
SSE = 2592

Therefore, the answer is B: 2592.

If the Standard Error of Estimate 5yx = 18

If the Standard Error of Estimate 5_yx = 18