Using data from the 2008 General Social Survey (GSS), political psychologists were interested in whether speaking a language other than English (1=yes, 2=no) and political views (1=extremely liberal, 7=extremely conservative) would predict attitudes toward the number of immigrants there should be in the United States (1=should be increased a lot, 5=should be reduced a lot).  Write out the regression model and explain what the bs and a mean. Which predictor variable contributed more to the model? Show evidence.

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Using data from the 2008 General Social Survey (GSS), political psychologists were interested in whether speaking a language other than English (1=yes, 2=no) and political views (1=extremely liberal, 7=extremely conservative) would predict attitudes toward the number of immigrants there should be in the United States (1=should be increased a lot, 5=should be reduced a lot). 

Write out the regression model and explain what the bs and a mean. Which predictor variable contributed more to the model? Show evidence.

### Correlation Data Analysis

#### Correlations

This table illustrates the Pearson correlation coefficients among three variables:
1. **NUMBER OF IMMIGRANTS TO AMERICA NOWADAYS SHOULD BE**
2. **CAN R SPEAK LANGUAGE OTHER THAN ENGLISH**
3. **THINK OF SELF AS LIBERAL OR CONSERVATIVE**

The Pearson correlation coefficients along with the significance values (Sig. 2-tailed) and number of observations (N) are provided.

|                                 | NUMBER OF IMMIGRANTS TO AMERICA NOWADAYS SHOULD BE | CAN R SPEAK LANGUAGE OTHER THAN ENGLISH | THINK OF SELF AS LIBERAL OR CONSERVATIVE |
|---------------------------------|----------------------------------------------------|----------------------------------------|-----------------------------------------|
| **NUMBER OF IMMIGRANTS TO AMERICA NOWADAYS SHOULD BE** | 1.000                                              | .195**                                 | .139**                                  |
| *. Sig. (2-tailed)*              |                                                    | .000                                    | .000                                    |
| *N*                              | 912                                                | 912                                    | 882                                     |
| **CAN R SPEAK LANGUAGE OTHER THAN ENGLISH**            | .195**                                              | 1.000                                  | .149**                                  |
| *. Sig. (2-tailed)*              | .000                                               |                                         | .000                                    |
| *N*                              | 912                                                | 1400                                   | 1343                                    |
| **THINK OF SELF AS LIBERAL OR CONSERVATIVE**           | .139**                                              | .149**                                 | 1.000                                   |
| *. Sig. (2-tailed)*              | .000                                               | .000                                   |                                         |
| *N*                              | 882                                                | 1343                                   | 1343                                    |

**Note: Correlation is significant at the 0.01 level (2-tailed).**

#### Variables Entered/Removed

This table indicates which variables are included in the regression analysis and the dependent variable.

| Model | Variables Entered                                       | Variables Removed | Method |
|-------|---------------------------------------------------------|-------------------|--------|
| 1     | THINK OF SELF AS LIBERAL OR CONSERVATIVE, CAN R SPEAK LANGUAGE OTHER THAN ENGLISH* |                   | Enter  |

*a. Dependent Variable: NUMBER OF IMMIGRANTS TO AMERICA NOWADAYS SHOULD BE*

*b. All requested variables entered.*

#### Model Summary

The model summary table provides the regression
Transcribed Image Text:### Correlation Data Analysis #### Correlations This table illustrates the Pearson correlation coefficients among three variables: 1. **NUMBER OF IMMIGRANTS TO AMERICA NOWADAYS SHOULD BE** 2. **CAN R SPEAK LANGUAGE OTHER THAN ENGLISH** 3. **THINK OF SELF AS LIBERAL OR CONSERVATIVE** The Pearson correlation coefficients along with the significance values (Sig. 2-tailed) and number of observations (N) are provided. | | NUMBER OF IMMIGRANTS TO AMERICA NOWADAYS SHOULD BE | CAN R SPEAK LANGUAGE OTHER THAN ENGLISH | THINK OF SELF AS LIBERAL OR CONSERVATIVE | |---------------------------------|----------------------------------------------------|----------------------------------------|-----------------------------------------| | **NUMBER OF IMMIGRANTS TO AMERICA NOWADAYS SHOULD BE** | 1.000 | .195** | .139** | | *. Sig. (2-tailed)* | | .000 | .000 | | *N* | 912 | 912 | 882 | | **CAN R SPEAK LANGUAGE OTHER THAN ENGLISH** | .195** | 1.000 | .149** | | *. Sig. (2-tailed)* | .000 | | .000 | | *N* | 912 | 1400 | 1343 | | **THINK OF SELF AS LIBERAL OR CONSERVATIVE** | .139** | .149** | 1.000 | | *. Sig. (2-tailed)* | .000 | .000 | | | *N* | 882 | 1343 | 1343 | **Note: Correlation is significant at the 0.01 level (2-tailed).** #### Variables Entered/Removed This table indicates which variables are included in the regression analysis and the dependent variable. | Model | Variables Entered | Variables Removed | Method | |-------|---------------------------------------------------------|-------------------|--------| | 1 | THINK OF SELF AS LIBERAL OR CONSERVATIVE, CAN R SPEAK LANGUAGE OTHER THAN ENGLISH* | | Enter | *a. Dependent Variable: NUMBER OF IMMIGRANTS TO AMERICA NOWADAYS SHOULD BE* *b. All requested variables entered.* #### Model Summary The model summary table provides the regression
### Educational Resource: Variable Analysis in Social Research

#### Overview
The provided document showcases an analysis investigating the impact of certain predictors on opinions regarding the number of immigrants that should be allowed into America. The analysis includes multiple tables explaining the variables considered, model summary, ANOVA, and coefficients.

### Variables Entered/Removed
- **Model 1:**
  - **Entered:**
    - THINK OF SELF AS LIBERAL OR CONSERVATIVE
    - CAN R SPEAK LANGUAGE OTHER THAN ENGLISH
  - **Removed:** None
- **Dependent Variable:** NUMBER OF IMMIGRANTS TO AMERICA NOWADAYS SHOULD BE

#### Model Summary
- **Model 1:**
  - **R:** 0.225
  - **R Square:** 0.051
  - **Adjusted R Square:** 0.048
  - **Std. Error of the Estimate:** 1.033

**Interpretation:**
- The R-value of 0.225 indicates a low correlation between the predictors and the dependent variable.
- The R Square value of 0.051 means approximately 5.1% of the variance in the number of immigrants that should be allowed is explained by the model.
- The Adjusted R Square is slightly lower, indicating a minimal effect size adjustment.

#### Analysis of Variance (ANOVA)
- **Model 1:**
  - **Sum of Squares:**
    - Regression: 53.167
    - Residual: 992.802
    - Total: 1045.969
  - **Degrees of Freedom (df):**
    - Regression: 2
    - Residual: 979
  - **Mean Square:**
    - Regression: 26.578
    - Residual: 1.129
  - **F Value:** 23.532
  - **Significance (Sig.):** .000

**Interpretation:**
- The F-statistic value of 23.532 is significant (p < .001), indicating that the model significantly predicts the dependent variable.

#### Coefficients
- **Model 1:**
  - **(Constant):**
    - **Unstandardized Coefficients (B):** 2.541
    - **Standard Error (Std. Error):** 0.167
    - **Standardized Coefficients (Beta):** -
    - **t-value:**
Transcribed Image Text:### Educational Resource: Variable Analysis in Social Research #### Overview The provided document showcases an analysis investigating the impact of certain predictors on opinions regarding the number of immigrants that should be allowed into America. The analysis includes multiple tables explaining the variables considered, model summary, ANOVA, and coefficients. ### Variables Entered/Removed - **Model 1:** - **Entered:** - THINK OF SELF AS LIBERAL OR CONSERVATIVE - CAN R SPEAK LANGUAGE OTHER THAN ENGLISH - **Removed:** None - **Dependent Variable:** NUMBER OF IMMIGRANTS TO AMERICA NOWADAYS SHOULD BE #### Model Summary - **Model 1:** - **R:** 0.225 - **R Square:** 0.051 - **Adjusted R Square:** 0.048 - **Std. Error of the Estimate:** 1.033 **Interpretation:** - The R-value of 0.225 indicates a low correlation between the predictors and the dependent variable. - The R Square value of 0.051 means approximately 5.1% of the variance in the number of immigrants that should be allowed is explained by the model. - The Adjusted R Square is slightly lower, indicating a minimal effect size adjustment. #### Analysis of Variance (ANOVA) - **Model 1:** - **Sum of Squares:** - Regression: 53.167 - Residual: 992.802 - Total: 1045.969 - **Degrees of Freedom (df):** - Regression: 2 - Residual: 979 - **Mean Square:** - Regression: 26.578 - Residual: 1.129 - **F Value:** 23.532 - **Significance (Sig.):** .000 **Interpretation:** - The F-statistic value of 23.532 is significant (p < .001), indicating that the model significantly predicts the dependent variable. #### Coefficients - **Model 1:** - **(Constant):** - **Unstandardized Coefficients (B):** 2.541 - **Standard Error (Std. Error):** 0.167 - **Standardized Coefficients (Beta):** - - **t-value:**
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