Variable Obs Mean Std. dev. Min Max Heigth Weight MaleFemale 8.64 5.074249 1 13.2 170.8 31.67333 130 210 1 1 1 - regress Weight Heigth Source df MS Number of obs F(1, 3) 3.10 Model 2038.83697 1 2038.83697 Prob > F 0.1766 Residual R-squared Adj R-squared 1973.96303 657.987675 0.5081 0.3441 Total 4012.8 4 1003.2 Root MSE = 25.651 Weight Coefficient Std. err. P>|t| [95% conf. interval] Heigth 4.449278 2.527593 1.76 0.177 -3.594651 12.49321 cons 132.3582 24.66806 5.37 0.013 53.85345 210.863
Variable Obs Mean Std. dev. Min Max Heigth Weight MaleFemale 8.64 5.074249 1 13.2 170.8 31.67333 130 210 1 1 1 - regress Weight Heigth Source df MS Number of obs F(1, 3) 3.10 Model 2038.83697 1 2038.83697 Prob > F 0.1766 Residual R-squared Adj R-squared 1973.96303 657.987675 0.5081 0.3441 Total 4012.8 4 1003.2 Root MSE = 25.651 Weight Coefficient Std. err. P>|t| [95% conf. interval] Heigth 4.449278 2.527593 1.76 0.177 -3.594651 12.49321 cons 132.3582 24.66806 5.37 0.013 53.85345 210.863
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
What is R hat2
What is R hat2
Transcribed Image Text:This image presents the results of a regression analysis performed to study the relationship between weight and height. Here is a detailed transcription and explanation:
### Descriptive Statistics
- **Variable:**
- Height
- Obs: 5
- Mean: 8.64
- Std. dev.: 5.074249
- Min: 1
- Max: 13.2
- Weight
- Obs: 5
- Mean: 170.8
- Std. dev.: 31.67333
- Min: 130
- Max: 210
- MaleFemale
- Obs: 5
- Mean: 1
- Std. dev.: 0
- Min: 1
- Max: 1
### Regression Analysis
#### Source Table
- **Source**
- Model:
- SS (Sum of Squares): 2038.83697
- df (Degrees of Freedom): 1
- MS (Mean Square): 2038.83697
- Residual:
- SS: 1973.96303
- df: 3
- MS: 657.987675
- Total:
- SS: 4012.8
- df: 4
- MS: 1003.2
#### Statistical Details
- Number of obs (observations): 5
- F(1, 3): 3.10
- Prob > F: 0.1766
- R-squared: 0.5081
- Adj R-squared: 0.3441
- Root MSE (Mean Square Error): 25.651
#### Coefficient Table
- **Weight:**
- Coefficient
- Height: 4.449278
- _cons (Constant): 132.3582
- Std. err. (Standard Error)
- Height: 2.527593
- _cons: 24.66806
- t (t-value)
- Height: 1.76
- _cons: 5.37
- P>|t| (p-value)
- Height: 0.177
- _cons: 0.013
- [95% conf.
Expert Solution
Step 1
R hat2 is known as adjusted R-squared.
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