Using Y=b0+b1x, how much CO2 emission is expected in a state that is 30% democrat
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Using Y=b0+b1x, how much CO2 emission is expected in a state that is 30% democrat
![The image displays the output of a linear regression analysis performed using statistical software, likely Stata, examining the relationship between carbon dioxide emissions (co2) and a binary variable, democrat.
**Regression Output Explanation:**
- **Source Table:**
- **Model:**
- SS (Sum of Squares): 1402.82998
- df (degrees of freedom): 1
- MS (Mean Square): 1402.82998
- **Residual:**
- SS: 18393.5482
- df: 49
- MS: 375.378535
- **Total:**
- SS: 19796.3782
- df: 50
- MS: 395.927564
- **Model Summary:**
- Number of observations (obs): 51
- F(1, 49) = 3.74
- Prob > F = 0.0590
- R-squared = 0.0709
- Adjusted R-squared = 0.0519
- Root MSE (Mean Squared Error) = 19.375
- **Coefficients Table:**
- **Predictor: democrat**
- Coefficient (Coef.): -0.7743168
- Standard Error (Std. Err.): 0.4005446
- t-value (t): -1.93
- P-value (P>|t|): 0.059
- 95% Confidence Interval: [-1.579241, 0.0306077]
- **Intercept: _cons**
- Coefficient (Coef.): 51.17269
- Standard Error (Std. Err.): 13.53402
- t-value (t): 3.78
- P-value (P>|t|): 0.000
- 95% Confidence Interval: [23.97506, 78.37033]
**Interpretation:**
- The F-statistic is 3.74 with a p-value of 0.0590, suggesting a marginal statistical significance in the overall model.
- The R-squared value of 0.0709 indicates that approximately 7.09% of the variability in CO2 emissions is explained by whether the subject is democrat or not.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d6b0164-700f-47c3-a14d-0f2cc5fbb356%2F9c9ee3e4-bf02-499a-8869-fda0c4c0115e%2Ffpoe7lr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image displays the output of a linear regression analysis performed using statistical software, likely Stata, examining the relationship between carbon dioxide emissions (co2) and a binary variable, democrat.
**Regression Output Explanation:**
- **Source Table:**
- **Model:**
- SS (Sum of Squares): 1402.82998
- df (degrees of freedom): 1
- MS (Mean Square): 1402.82998
- **Residual:**
- SS: 18393.5482
- df: 49
- MS: 375.378535
- **Total:**
- SS: 19796.3782
- df: 50
- MS: 395.927564
- **Model Summary:**
- Number of observations (obs): 51
- F(1, 49) = 3.74
- Prob > F = 0.0590
- R-squared = 0.0709
- Adjusted R-squared = 0.0519
- Root MSE (Mean Squared Error) = 19.375
- **Coefficients Table:**
- **Predictor: democrat**
- Coefficient (Coef.): -0.7743168
- Standard Error (Std. Err.): 0.4005446
- t-value (t): -1.93
- P-value (P>|t|): 0.059
- 95% Confidence Interval: [-1.579241, 0.0306077]
- **Intercept: _cons**
- Coefficient (Coef.): 51.17269
- Standard Error (Std. Err.): 13.53402
- t-value (t): 3.78
- P-value (P>|t|): 0.000
- 95% Confidence Interval: [23.97506, 78.37033]
**Interpretation:**
- The F-statistic is 3.74 with a p-value of 0.0590, suggesting a marginal statistical significance in the overall model.
- The R-squared value of 0.0709 indicates that approximately 7.09% of the variability in CO2 emissions is explained by whether the subject is democrat or not.

Transcribed Image Text:The table displays data regarding several U.S. states, each identified by their two-letter abbreviation under the "st" column. The accompanying columns provide additional data, as described below:
- **region**: A numeric representation of the state's region.
- **energyfund**: Indicates the presence (1) or absence (0) of state funding for energy initiatives.
- **democrat**: Displays a numeric value related to some aspect of democratic governance or influence within the state.
- **co2**: This column provides a value representing the state's carbon dioxide emissions, measured in metric tons per capita.
Here is the detailed data presented in the table:
- **MA (Massachusetts)**
- Region: 4
- Energy Fund: 1 (present)
- Democrat: 36.518501
- CO2: 12.88785 metric tons per capita
- **MI (Michigan)**
- Region: 3
- Energy Fund: 1 (present)
- Democrat: 32.027185
- CO2: 19.38696 metric tons per capita
- **MN (Minnesota)**
- Region: 3
- Energy Fund: 1 (present)
- Democrat: 31.518896
- CO2: 19.66035 metric tons per capita
- **MS (Mississippi)**
- Region: 1
- Energy Fund: 0 (absent)
- Democrat: 39.514509
- CO2: 21.06525 metric tons per capita
- **MO (Missouri)**
- Region: 3
- Energy Fund: 0 (absent)
- Democrat: 32.193651
- CO2: 21.94129 metric tons per capita
- **MT (Montana)**
- Region: 2
- Energy Fund: 1 (present)
- Democrat: 25.500661
- CO2: 34.31926 metric tons per capita
This data could be used for analysis related to energy funding, political influences, and environmental impact across different regions and states.
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