Using the following information. Coefficients Intercept -12.8094 Independent variable 2.1794 ANOVA df MS F Regression 1 12,327.52 12,327.52 90.0481 Residual 8 1,094.882 136.8993 Total 9. 13,422.4 What is the standard error of the estimate?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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### Multiple Choice Question

Please select the correct answer from the options below:

1. **136.8992**
2. **1,094.882**
3. **13,422.4**
4. **11.7004**

Each option is represented with a radio button, allowing you to choose one answer.
Transcribed Image Text:### Multiple Choice Question Please select the correct answer from the options below: 1. **136.8992** 2. **1,094.882** 3. **13,422.4** 4. **11.7004** Each option is represented with a radio button, allowing you to choose one answer.
### Linear Regression Coefficients

**Coefficients Table:**

|                   | Coefficients |
|-------------------|--------------|
| Intercept         | -12.8094     |
| Independent Variable | 2.1794      |

### ANOVA Table

**Analysis of Variance (ANOVA):**

| Source       | df | SS         | MS        | F        |
|--------------|----|------------|-----------|----------|
| Regression   | 1  | 12,327.52  | 12,327.52 | 90.0481  |
| Residual     | 8  | 1,094.882  | 136.8993  |          |
| Total        | 9  | 13,422.4   |           |          |

### Calculation

**What is the standard error of the estimate?**

To calculate the standard error of the estimate (SEE), use the formula:

\[
\text{SEE} = \sqrt{\frac{\text{Residual SS}}{\text{Residual df}}}
\]

Insert the values from the ANOVA table:

- Residual SS = 1,094.882
- Residual df = 8

\[
\text{SEE} = \sqrt{\frac{1,094.882}{8}}
\]

Calculate the SEE to find the standard error of the estimate.
Transcribed Image Text:### Linear Regression Coefficients **Coefficients Table:** | | Coefficients | |-------------------|--------------| | Intercept | -12.8094 | | Independent Variable | 2.1794 | ### ANOVA Table **Analysis of Variance (ANOVA):** | Source | df | SS | MS | F | |--------------|----|------------|-----------|----------| | Regression | 1 | 12,327.52 | 12,327.52 | 90.0481 | | Residual | 8 | 1,094.882 | 136.8993 | | | Total | 9 | 13,422.4 | | | ### Calculation **What is the standard error of the estimate?** To calculate the standard error of the estimate (SEE), use the formula: \[ \text{SEE} = \sqrt{\frac{\text{Residual SS}}{\text{Residual df}}} \] Insert the values from the ANOVA table: - Residual SS = 1,094.882 - Residual df = 8 \[ \text{SEE} = \sqrt{\frac{1,094.882}{8}} \] Calculate the SEE to find the standard error of the estimate.
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