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What is the percentage of the total variation in infant mortality that has been explained by this model?

What is the percentage of the total variation in infant mortality that has been explained by this model?

MATLAB: An Introduction with Applications
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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Model Summary Model R Square Adjusted R Square R Std. Error of the Estimate 1 .890 .793 .777 1.17580 ANOVA Model Sig. Sum of df Mean F Squares 206.153 Square Regression 3 68.718 49.705 .000a 1 Residual 53.918 39 1.383 Total 260.071 42 Coefficients Model Unstandardized Standardized Sig. Coefficients Coefficients Std. Error Beta 11.071 .000 .750 8.671 .000 352 4.321.000 386 .701 (Constant) 6.725 .607 persons per sq mi % pop below pov line minority pop (%) .001 .000 214 .050 .006 .015 037 A multi-variable regression model is being used to investigate the relationship between various factors and the infant mortality rate in the US. Data is collected for all 50 states plus the Capital District. The model currently being explored is: Infant mortality rate = f(population density, poverty, minority) Xg is the population density, in persons per square mile; x2 is the percentage of the population that is below the poverty line x3 is the percentage of the population believed to belong to a visible minority group y-hat is the rate of deaths per 1000 infants. The outputs of this SPSS multiple regression model are given above. What is the percentage of the total variation in infant mortality that has been explained by this model? 68.7% 100% 60.7% 67.25% 49.7% 79.3%
Transcribed Image Text:Model Summary Model R Square Adjusted R Square R Std. Error of the Estimate 1 .890 .793 .777 1.17580 ANOVA Model Sig. Sum of df Mean F Squares 206.153 Square Regression 3 68.718 49.705 .000a 1 Residual 53.918 39 1.383 Total 260.071 42 Coefficients Model Unstandardized Standardized Sig. Coefficients Coefficients Std. Error Beta 11.071 .000 .750 8.671 .000 352 4.321.000 386 .701 (Constant) 6.725 .607 persons per sq mi % pop below pov line minority pop (%) .001 .000 214 .050 .006 .015 037 A multi-variable regression model is being used to investigate the relationship between various factors and the infant mortality rate in the US. Data is collected for all 50 states plus the Capital District. The model currently being explored is: Infant mortality rate = f(population density, poverty, minority) Xg is the population density, in persons per square mile; x2 is the percentage of the population that is below the poverty line x3 is the percentage of the population believed to belong to a visible minority group y-hat is the rate of deaths per 1000 infants. The outputs of this SPSS multiple regression model are given above. What is the percentage of the total variation in infant mortality that has been explained by this model? 68.7% 100% 60.7% 67.25% 49.7% 79.3%
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