Based on the output above, answer the following. (a) Find the values of A, B and C in the ANOVA table. (b) Find the coefficient of determination, R°. (c) Interpret the R° value in part (b). (d) Find the standard eror of estimate, s. (e) Find the F-test statistic value. (f) Interpret the p-value in the ANOVA table at a = 0.05. (e) Interpret the p-value for each independent variable (Xi, X., XK, Xe and X3) in the Coefficients table at a= 0.05.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 75E
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A regression model is fitted to data with 5 independent variables (X1, X2, X3, X4 and X:) and the
output of the analysis using SPSS is given below:
Model
Regression
Sum of Squares
df
р-value
A
В
0.0000
Еmor
17634.813
Total
38401.757
46
Coefficients
Unstandardized Coefficients
Model
p-value
B
Std. Error
(Constant)
-213.5781
114.522
0.069
0.8690
0.297
0.005
0.0579
3.296
0.986
X3
0.8010
0.120
0.000
X4
0.0558
0.094
0.557
0.0975
0.122
0.428
Based on the output above, answer the following.
(a)
Find the values of A, B and C in the ANOVA table.
(b) Find the coefficient of determination, Rº.
(c)
Interpret the R° value in part (b).
(d)
Find the standard errOr of estimate, s.
(e)
Find the F-test statistic value.
(f)
Interpret the p-value in the ANOVA table at a = 0.05.
() Interpret the p-value for each independent variable (X1, X2, X, X4 and X3) in the
Coefficients table at a = 0.05.
Transcribed Image Text:A regression model is fitted to data with 5 independent variables (X1, X2, X3, X4 and X:) and the output of the analysis using SPSS is given below: Model Regression Sum of Squares df р-value A В 0.0000 Еmor 17634.813 Total 38401.757 46 Coefficients Unstandardized Coefficients Model p-value B Std. Error (Constant) -213.5781 114.522 0.069 0.8690 0.297 0.005 0.0579 3.296 0.986 X3 0.8010 0.120 0.000 X4 0.0558 0.094 0.557 0.0975 0.122 0.428 Based on the output above, answer the following. (a) Find the values of A, B and C in the ANOVA table. (b) Find the coefficient of determination, Rº. (c) Interpret the R° value in part (b). (d) Find the standard errOr of estimate, s. (e) Find the F-test statistic value. (f) Interpret the p-value in the ANOVA table at a = 0.05. () Interpret the p-value for each independent variable (X1, X2, X, X4 and X3) in the Coefficients table at a = 0.05.
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