a) Explain the meaning of R-square value for this model. b) Interpret the significant level of F-test for this model.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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a) Explain the meaning of R-square value for this model. b) Interpret the significant level of F-test for this model.
Question 1
[Soalan 1]
Based on the given multiple regression output tables below, answer the following
questions:
[Berdasarkan kepada jadual dapatan regresi berganda yang dinyatakan di bawah, jawab soalan-soalan
yang berikut:]
Model Summary
Adjusted R
Square
Std. Error of the
Durbin-
Model
R
R Square
Estimate
Watson
.887
.787
.776
0.29748
2.156
ΑNOVA
Sum of
Model
Squares
df
Mean Square
F
Sig.
Regression
18.347
3
6.116
69.107
.000
Residual
4.956
56
.088
Total
23.303
59
Coefficients
Standardized
Unstandardized Coefficients
Coefficients
Model
В
Std. Error
Beta
Sig.
1
(Constant)
-1.003
.315
-3.187
.002
X Variable 1
.325
.061
.350
5.307
.000
X Variable 2
.485
.069
.460
7.061
.000
X Variable 3
.457
.070
.428
6.556
.000
Transcribed Image Text:Question 1 [Soalan 1] Based on the given multiple regression output tables below, answer the following questions: [Berdasarkan kepada jadual dapatan regresi berganda yang dinyatakan di bawah, jawab soalan-soalan yang berikut:] Model Summary Adjusted R Square Std. Error of the Durbin- Model R R Square Estimate Watson .887 .787 .776 0.29748 2.156 ΑNOVA Sum of Model Squares df Mean Square F Sig. Regression 18.347 3 6.116 69.107 .000 Residual 4.956 56 .088 Total 23.303 59 Coefficients Standardized Unstandardized Coefficients Coefficients Model В Std. Error Beta Sig. 1 (Constant) -1.003 .315 -3.187 .002 X Variable 1 .325 .061 .350 5.307 .000 X Variable 2 .485 .069 .460 7.061 .000 X Variable 3 .457 .070 .428 6.556 .000
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