If the standard error of estimate  = 20 and n = 8, then the sum of squares for error, SSE, is 2400.Group of answer choicesTrueFalse

To determine the validity of the statement, we will break down the necessary calculations related to the standard error of estimate and the sum of squares for error (SSE).

1. Break Down the Problem

We need to calculate the Sum of Squares for Error (SSE) using the formula that connects the Standard Error of Estimate (SEE), the number of observations (n), and the SSE.

2. Relevant Concepts

The formula for the Standard Error of Estimate (SEE) is given by: $SEE = \sqrt{\frac{SSE}{n - 2}}$ Where:

• $SEE$ is the standard error of estimate,
• $SSE$ is the sum of squares for error,
• $n$ is the number of observations.

3. Analysis and Detail

We are given:

• $SEE = 20$
• $n = 8$

We can rearrange the formula to solve for SSE: $SSE = SEE^2 \times (n - 2)$

Substituting the given values: $SSE = 20^2 \times (8 - 2)$ Calculating step by step:

1. Calculate $20^2$: $20^2 = 400$
2. Calculate $n - 2$: $8 - 2 = 6$
3. Calculate $SSE$: $SSE = 400 \times 6 = 2400$

4. Verify and Summarize

After performing the calculations, we found that $SSE = 2400$. Thus, the original statement holds true.

Final Answer

The statement is True.