What is the Beta that shows the strongest controlled association? **Regression Analysis Overview****Variables Entered/Removed:**- Model 1: - Variables Entered: political party republican, crime rate, poverty rate, race - Variables Removed: None - Method: Enter - Dependent Variable: incarceration**Model Summary:**- Model 1: - R: 0.759 - R Square: 0.576 - Adjusted R Square: 0.539 - Std. Error of the Estimate: 134.39297 - Predictors: political party republican, crime rate, poverty rate, race**ANOVA:**- Model 1: - Regression: - Sum of Squares: 1106091.869 - degrees of freedom (df): 4 - Mean Square: 276522.967 - F: 15.310 - Sig: 0.000 - Residual: - Sum of Squares: 812766.131 - df: 45 - Mean Square: 18061.470 - Total: - Sum of Squares: 1918858.000 - df: 49 - Dependent Variable: incarceration - Predictors: political party republican, crime rate, poverty rate, race**Coefficients:**- Model 1: - (Constant): - Unstandardized Coefficient B: -253.584 - Std. Error: 156.001 - Standardized Coefficient Beta: _ - t: -1.626 - Sig: 0.111 - Poverty rate: - Unstandardized Coefficient B: 19.998 - Std. Error: 5.671 - Standardized Coefficient Beta: 0.397 - t: 3.526 - Sig: 0.001 - Race: - Unstandardized Coefficient B: -.535 - Std. Error: 1.579 - Standardized Coefficient Beta: -0.043 - t: -0.339 - Sig: 0.736 - Crime rate: - Unstandardized Coefficient B: 0.468 - Std. Error: 0.183 - Standard ### Correlations AnalysisThe table shows Pearson correlation coefficients among five variables: incarceration, poverty rate, race, political party (Republican), and crime rate. Here's a detailed analysis of the correlations:#### Variables and Correlations:1. **Incarceration** - **Poverty Rate**: Positive correlation (0.603**), significant at the 0.01 level. - **Race**: Slight positive correlation (0.152), not significant. - **Political Party (Republican)**: Moderate positive correlation (0.440**), significant at the 0.01 level. - **Crime Rate**: Moderate positive correlation (0.490**), significant at the 0.01 level.2. **Poverty Rate** - **Incarceration**: Positive correlation (0.603**), significant at the 0.01 level. - **Race**: Positive correlation (0.311*), significant at the 0.05 level. - **Political Party (Republican)**: No significant correlation (0.139). - **Crime Rate**: Moderate positive correlation (0.444**), significant at the 0.01 level.3. **Race** - **Incarceration**: Slight positive correlation (0.152), not significant. - **Poverty Rate**: Positive correlation (0.311*), significant at the 0.05 level. - **Political Party (Republican)**: Slight positive correlation (0.028), not significant. - **Crime Rate**: Negative correlation (-0.486**), significant at the 0.01 level.4. **Political Party (Republican)** - **Incarceration**: Moderate positive correlation (0.440**), significant at the 0.01 level. - **Poverty Rate**: No significant correlation (0.139). - **Race**: Slight positive correlation (0.028), not significant. - **Crime Rate**: No significant correlation (-0.030).5. **Crime Rate** - **Incarceration**: Moderate positive correlation (0.490**), significant at the 0.01 level. - **Poverty Rate**: Moderate positive correlation (0.444**), significant at the 0.01 level. - **Race**: Negative correlation (-0.486**

Standardized Beta Coefficient A standardized beta coefficient compares the strength of the effect of…

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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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