Model Summary Adjusted R Square Model R R Square Std. Error of the Estimate .890 793 777 1.17580 ANOVA Model Sum of df Mean F Sig. Squares 206.153 Square Regression 3 68.718 49.705 .000a 1 Residual 53.918 39 1.383 Total 260.071 42 Coefficients Unstandardized Standardized Coefficients Std. Error Model Sig. Coefficients B Beta 11.071 .000 .750 8.671 .000 352 4.321 000 .037 (Constant) 6.725 .607 persons per sq mi % pop below pov line minority pop (%) .001 .000 .214 .050 .006 015 386 701 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 xg 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 madel are given above. Minnesota had a population density of 55 persons per square mile (x1 - 55.0), a population below the poverty line of 11.20% (x2 - 11.2) and an estimated visible minority population of 6.50% (x3 - 6.50). If the infant mortality rate in Minnesota is 7.80 per 1000, what is the residual according to this model; and has Minnesota been over-estimated or under-estimated by this model? O 2.141; under-estimated O-1.416; over-estimated O 0.077; over-estimated O -1.118; under-estimated O 1.513, under-estimated
Model Summary Adjusted R Square Model R R Square Std. Error of the Estimate .890 793 777 1.17580 ANOVA Model Sum of df Mean F Sig. Squares 206.153 Square Regression 3 68.718 49.705 .000a 1 Residual 53.918 39 1.383 Total 260.071 42 Coefficients Unstandardized Standardized Coefficients Std. Error Model Sig. Coefficients B Beta 11.071 .000 .750 8.671 .000 352 4.321 000 .037 (Constant) 6.725 .607 persons per sq mi % pop below pov line minority pop (%) .001 .000 .214 .050 .006 015 386 701 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 xg 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 madel are given above. Minnesota had a population density of 55 persons per square mile (x1 - 55.0), a population below the poverty line of 11.20% (x2 - 11.2) and an estimated visible minority population of 6.50% (x3 - 6.50). If the infant mortality rate in Minnesota is 7.80 per 1000, what is the residual according to this model; and has Minnesota been over-estimated or under-estimated by this model? O 2.141; under-estimated O-1.416; over-estimated O 0.077; over-estimated O -1.118; under-estimated O 1.513, under-estimated
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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Question
Transcribed Image Text:Model Summary
Model
R Square
Adjusted R
Square
R
Std. Error of
the Estimate
.890
.793
.777
1.17580
ANOVA
Model
Sum of
df
Mean
F
Sig.
Squares
Square
Regression
206.153
3
68.718 49.705
.000a
1
Residual
53.918
39
1.383
Total
260.071
42
Coefficients
Model
Unstandardized
Standardized
Sig.
Coefficients
Coefficients
B
Std. Error
Beta
11.071 .000
.750 8.671 .000
.352 4.321 .000
.386 .701
(Constant)
6.725
.607
persons per sq mi
.001
.000
% pop below pov line
.214
.050
minority pop (%)
.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)
x, 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.
Minnesota had a population density of 55 persons per square mile (x1 = 55.0), a
population below the poverty line of 11.20% (x2 = 11.2) and an estimated visible
minority population of 6.50% (x3 = 6.50). If the infant mortality rate in Minnesota is
7.80 per 1000, what is the residual according to this model; and has Minnesota been
over-estimated or under-estimated by this model?
O 2.141; under-estimated
O-1.416; over-estimated
O 0.077; over-estimated
O-1.118; under-estimated
1.513, under-estimated
-0.054; over-estimated
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