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

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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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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