Question
1.Estimate a linear regression model on BurglaryRT using PercentRural as the independent variable. Variables Entered/Removed a Model Variables Entered Variables Removed Method 1 PercentRural b
1.Estimate a linear regression model on BurglaryRT using PercentRural as the independent variable.
Variables Entered/Removeda | |||
Model | Variables Entered | Variables Removed | Method |
1 | PercentRuralb | . | Enter |
a. Dependent Variable: Burglary Rate per 100K | |||
b. All requested variables entered. |
Model Summary | ||||
Model | R | R Square | Adjusted R Square | Std. Error of the Estimate |
1 | .051a | .003 | -.018 | 257.70359 |
a. Predictors: (Constant), PercentRural |
ANOVAa | ||||||
Model | Sum of Squares | df | Mean Square | F | Sig. | |
1 | Regression | 8371.841 | 1 | 8371.841 | .126 | .724b |
Residual | 3187734.656 | 48 | 66411.139 | |||
Total | 3196106.497 | 49 | ||||
a. Dependent Variable: Burglary Rate per 100K | ||||||
b. Predictors: (Constant), PercentRural |
Coefficientsa | ||||||
Model | Unstandardized Coefficients | Standardized Coefficients | t | Sig. | ||
B | Std. Error | Beta | ||||
1 | (Constant) | 667.967 | 76.609 | 8.719 | <.001 | |
PercentRural | .918 | 2.584 | .051 | .355 | .724 | |
a. Dependent Variable: Burglary Rate per 100K |
Put together a few sentences to summarize your regression results (hint: interpret your intercept, regression coefficient, R-squared, and hypothesis testing results).
2.Estimate a linear regression model on MVTheftRT using PercentRural as the independent variable.
Variables Entered/Removeda | |||
Model | Variables Entered | Variables Removed | Method |
1 | PercentRuralb | . | Enter |
a. Dependent Variable: Motor Vehicle Rate per 100K | |||
b. All requested variables entered. |
Model Summary | ||||
Model | R | R Square | Adjusted R Square | Std. Error of the Estimate |
1 | .581a | .337 | .324 | 76.78737 |
a. Predictors: (Constant), PercentRural |
ANOVAa | ||||||
Model | Sum of Squares | df | Mean Square | F | Sig. | |
1 | Regression | 144064.671 | 1 | 144064.671 | 24.433 | <.001b |
Residual | 283022.379 | 48 | 5896.300 | |||
Total | 427087.050 | 49 | ||||
a. Dependent Variable: Motor Vehicle Rate per 100K | ||||||
b. Predictors: (Constant), PercentRural |
Coefficientsa | ||||||
Model | Unstandardized Coefficients | Standardized Coefficients | t | Sig. | ||
B | Std. Error | Beta | ||||
1 | (Constant) | 328.245 | 22.827 | 14.380 | <.001 | |
PercentRural | -3.806 | .770 | -.581 | -4.943 | <.001 | |
a. Dependent Variable: Motor Vehicle Rate per 100K |
Put together a few sentences to summarize your regression results (hint: interpret your intercept, regression coefficient, R-squared, and hypothesis testing results).
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