Consider the following partially completed ANOVA, and answer the following: give the value of (A). / Beskou die onvoltooide ANOVA en beantwoord die volgende: gee die waarde van (A).

To fill in the missing values (A), (B), (C), (E), (F), and (G) in the ANOVA table, we first need to understand some key relationships in ANOVA calculations.

1. **Total Sum of Squares (SS Total)**:
\[
SS_{\text{Total}} = SS_{\text{Treatment}} + SS_{\text{Error}}
\]
Here, \( SS_{\text{Treatment}} = 12,689 \) and we need to find \( SS_{\text{Error}} (A) \) and \( SS_{\text{Total}} (B) \).

2. **Degrees of Freedom (df)**:
The degrees of freedom can be calculated as follows:
\[
df_{\text{Treatment}} = k - 1 \quad \text{(where \( k \) is the number of treatments)}
\]
\[
df_{\text{Error}} = N - k \quad \text{(where \( N \) is the total number of observations)}
\]
The total degrees of freedom is:
\[
df_{\text{Total}} = N - 1
\]
Given that \( df_{\text{Total}} = 11 \), we also learn that:
\[
N - 1 = 11 \implies N = 12
\]

Since we know that \( df_{\text{Treatment}} + df_{\text{Error}} = df_{\text{Total}} \):
\[
df_{\text{Treatment}} + df_{\text{Error}} = 11
\]
Let \( df_{\text{Treatment}} = (C) \) and \( df_{\text{Error}} = (E) \). Then:
\[
(C) + (E) = 11
\]

3. **Mean Squares (MS)**:
Mean Squares are calculated as follows:
\[
MS_{\text{Treatment}} = \frac{SS_{\text{Treatment}}}{df_{\text{Treatment}}} = \frac{12,689}{C}
\]
\[
MS_{\text{Error}} = \frac{SS_{\text{Error}}}{df_{\text{Error}}} = \frac{A}{E}
\]

4. **F-statistic**:
The F-statistic is calculated as follows:
\[
F = \frac{MS_{\text{Treatment}}}{MS_{\text{Error}}}
\]

Given \( F = 10.6642 \) and \( MS_{\text{Error}} = 595.3611 \):
\[
MS_{\text{Treatment}} = F \times MS_{\text{Error}} = 10.6642 \times 595.3611
\]
\[
MS_{\text{Treatment}} \approx 6348.688
\]
5. **Finding Treatment Degrees of Freedom (C)**:
Now we can find \( C \):
\[
C = \frac{SS_{\text{Treatment}}}{MS_{\text{Treatment}}} = \frac{12,689}{6348.688} \approx 2
\]

Thus:
\[
E = 11 - C = 11 - 2 = 9
\]

### Summary Values:
- \( C = 2 \)
- \( E = 9 \)

6. **Finding SS Error (A)**:
\[
MS_{\text{Error}} = \frac{A}{E} \implies 595.3611 = \frac{A}{9} \implies A = 595.3611 \times 9 \approx 5,358.250
\]

7. **Finding Total SS (B)**:
\[
SS_{\text{Total}} = SS_{\text{Treatment}} + SS_{\text{Error}} = 12,689 + 5,358.250 \approx 18,047.250
\]

### Results:
- (A) = 5,358.250 (approximately)
- (B) = 18,047.250 (approximately)
- (C) = 2
- (E) = 9
- (F) = 10.6642 (from the question)
- (G) = 10.6642 (same as F)

Now, you can fill in:
- **(A)**: 5,358.250
- **(B)**: 18,047.250
- **(C)**: 2
- **(E)**: 9
- **(F)**: 10.6642
- **(G)**: 10.6642