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
icon
Related questions
Question

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.
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.
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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman