Model Summary

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.4: Combining And Decomposing Functions
Problem 18E
icon
Related questions
Question

Please help me to write the interpretation for ANOVA and linear regression for both countries in Austria and United Kingdom (Attachment is there)

Model Summary
Change Statistics
Adjusted R
Square
Std. Error of
R Square
Durbin-
Model
R
R Square
the Estimate
Change
F Change
df1
df2
Sig. F Change
Watson
1
.290a
.084
-.018
20466.86203
.084
.827
3
27
.490
.436
a. Predictors: (Constant), Gross domestic savings (% of GDP) - Austria, Government Expenditure on secondary education - Austria (million US $),
Labour Force - Austria
b. Dependent Variable: Secondary Education, General Pupils - Austria
ANOVA
Sum of
Squares
df
Mean Square
F
Sig.
.490
Model
1
Regression
1039688524
3
346562841.4
.827
Residual
11310095913
27
418892441.2
Total
12349784438
30
a. Dependent Variable: Secondary Education, General Pupils - Austria
b. Predictors: (Constant), Gross domestic savings (% of GDP) - Austria, Government
Expenditure on secondary education - Austria (million US $), Labour Force - Austria
Coefficients
Standardized
Unstandardized Coefficients
Coefficients
95.0% Confidence Interval for B
Model
Std. Error
Beta
Sig.
Lower Bound
Upper Bound
1
(Constant)
418486.951
112006.019
3.736
.001
188669.582
648304.319
Government Expenditure
on secondary education -
Austria (million US $)
-.051
3.624
-.006
-.014
.989
-7.487
7.385
Labour Force - Austria
-.022
.029
-.343
-.770
.448
-.082
.037
Gross domestic savings
(% of GDP) - Austria
5060.474
3982.286
.293
1.271
.215
-3110.501
13231.449
a. Dependent Variable: Secondary Education, General Pupils - Austria
Residuals Statistics
Minimum
Maximum
Mean
Std. Deviation
Predicted Value
453035.7188
472523.2500
462518.8158
5886.95882
31
Residual
-43634.33984
32698.30273
.00000
19416.57017
31
Std. Predicted Value
-1.611
1.699
.000
1.000
31
Std. Residual
-2.132
1.598
.000
.949
31
a. Dependent Variable: Secondary Education, General Pupils - Austria
Transcribed Image Text:Model Summary Change Statistics Adjusted R Square Std. Error of R Square Durbin- Model R R Square the Estimate Change F Change df1 df2 Sig. F Change Watson 1 .290a .084 -.018 20466.86203 .084 .827 3 27 .490 .436 a. Predictors: (Constant), Gross domestic savings (% of GDP) - Austria, Government Expenditure on secondary education - Austria (million US $), Labour Force - Austria b. Dependent Variable: Secondary Education, General Pupils - Austria ANOVA Sum of Squares df Mean Square F Sig. .490 Model 1 Regression 1039688524 3 346562841.4 .827 Residual 11310095913 27 418892441.2 Total 12349784438 30 a. Dependent Variable: Secondary Education, General Pupils - Austria b. Predictors: (Constant), Gross domestic savings (% of GDP) - Austria, Government Expenditure on secondary education - Austria (million US $), Labour Force - Austria Coefficients Standardized Unstandardized Coefficients Coefficients 95.0% Confidence Interval for B Model Std. Error Beta Sig. Lower Bound Upper Bound 1 (Constant) 418486.951 112006.019 3.736 .001 188669.582 648304.319 Government Expenditure on secondary education - Austria (million US $) -.051 3.624 -.006 -.014 .989 -7.487 7.385 Labour Force - Austria -.022 .029 -.343 -.770 .448 -.082 .037 Gross domestic savings (% of GDP) - Austria 5060.474 3982.286 .293 1.271 .215 -3110.501 13231.449 a. Dependent Variable: Secondary Education, General Pupils - Austria Residuals Statistics Minimum Maximum Mean Std. Deviation Predicted Value 453035.7188 472523.2500 462518.8158 5886.95882 31 Residual -43634.33984 32698.30273 .00000 19416.57017 31 Std. Predicted Value -1.611 1.699 .000 1.000 31 Std. Residual -2.132 1.598 .000 .949 31 a. Dependent Variable: Secondary Education, General Pupils - Austria
Model Summary
Change Statistics
Adjusted R
Square
Std. Error of
R Square
Durbin-
Model
R
R Square
the Estimate
Change
F Change
df1
df2
Sig. F Change
Watson
1
.874a
.764
.738
128741.3058
.764
29.156
3
27
.000
.826
a. Predictors: (Constant), Gross domestic savings (% of GDP) - UK, Labour Force - UK, Government Expenditure on secondary education - UK (million
US $)
b. Dependent Variable: Secondary Education, General Pupils - United Kingdom
ANOVA
Sum of
Mean Square
Sig.
.000
Model
Squares
df
F
1
Regression
1.450E+12
3
4.832E+11
29.156
Residual
4.475E+11
27
16574323823
Total
1.897E+12
30
a. Dependent Variable: Secondary Education, General Pupils - United Kingdom
b. Predictors: (Constant), Gross domestic savings (% of GDP) - UK, Labour Force - UK,
Government Expenditure on secondary education - UK (million US $)
Coefficients
Standardized
Coefficients
Unstandardized Coefficients
95.0% Confidence Interval for B
Model
В
Std. Error
Beta
Sig.
Lower Bound
Upper Bound
1
(Constant)
6570154.981
786813.841
8.350
.000
4955746.333
8184563.630
Government Expenditure
on secondary education -
UK (million US $)
19.652
2.813
1.520
6.986
.000
13.880
25.424
Labour Force - UK
-.105
.029
-.797
-3.668
.001
-.163
-.046
Gross domestic savings
(% of GDP) - UK
4341.732
12614.627
.032
.344
.733
-21541.344
30224.808
a. Dependent Variable: Secondary Education, General Pupils - United Kingdom
Residuals Statistics
Minimum
Maximum
Mean
Std. Deviation
N
Predicted Value
3936285.000
4720230.000
4272214.141
219827.6759
31
Residual
-230574.6250
314570.6563
.00000
122134.7266
31
Std. Predicted Value
-1.528
2.038
.000
1.000
31
Std. Residual
-1.791
2.443
.000
.949
31
a. Dependent Variable: Secondary Education, General Pupils - United Kingdom
Transcribed Image Text:Model Summary Change Statistics Adjusted R Square Std. Error of R Square Durbin- Model R R Square the Estimate Change F Change df1 df2 Sig. F Change Watson 1 .874a .764 .738 128741.3058 .764 29.156 3 27 .000 .826 a. Predictors: (Constant), Gross domestic savings (% of GDP) - UK, Labour Force - UK, Government Expenditure on secondary education - UK (million US $) b. Dependent Variable: Secondary Education, General Pupils - United Kingdom ANOVA Sum of Mean Square Sig. .000 Model Squares df F 1 Regression 1.450E+12 3 4.832E+11 29.156 Residual 4.475E+11 27 16574323823 Total 1.897E+12 30 a. Dependent Variable: Secondary Education, General Pupils - United Kingdom b. Predictors: (Constant), Gross domestic savings (% of GDP) - UK, Labour Force - UK, Government Expenditure on secondary education - UK (million US $) Coefficients Standardized Coefficients Unstandardized Coefficients 95.0% Confidence Interval for B Model В Std. Error Beta Sig. Lower Bound Upper Bound 1 (Constant) 6570154.981 786813.841 8.350 .000 4955746.333 8184563.630 Government Expenditure on secondary education - UK (million US $) 19.652 2.813 1.520 6.986 .000 13.880 25.424 Labour Force - UK -.105 .029 -.797 -3.668 .001 -.163 -.046 Gross domestic savings (% of GDP) - UK 4341.732 12614.627 .032 .344 .733 -21541.344 30224.808 a. Dependent Variable: Secondary Education, General Pupils - United Kingdom Residuals Statistics Minimum Maximum Mean Std. Deviation N Predicted Value 3936285.000 4720230.000 4272214.141 219827.6759 31 Residual -230574.6250 314570.6563 .00000 122134.7266 31 Std. Predicted Value -1.528 2.038 .000 1.000 31 Std. Residual -1.791 2.443 .000 .949 31 a. Dependent Variable: Secondary Education, General Pupils - United Kingdom
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Similar questions
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt