The overall proportion of variation of y accounted by x1 and x2 is
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
A multiple regression analysis produced the following output from Excel.
The overall proportion of variation of y accounted by x1 and x2 is _______
Summary Output | ||||||||||
Regression Statistics | ||||||||||
Multiple R
|
0.978724022 | |||||||||
---|---|---|---|---|---|---|---|---|---|---|
R Square
|
0.957900711 | |||||||||
Adjusted R Square
|
0.952287472 | |||||||||
Standard Error
|
67.67055418 | |||||||||
Observations
|
18 | |||||||||
ANOVA | ||||||||||
df
|
SS
|
MS
|
F
|
Significance F
|
||||||
Regression
|
2
|
1562918.941 |
781459.5
|
170.6503
|
4.80907E-11
|
|||||
Residual
|
15
|
68689.55855 |
4579.304
|
|||||||
Total
|
17
|
1631608.5 | ||||||||
Coefficients
|
Standard Error
|
t Stat
|
P-value
|
|||||||
Intercept
|
1959.709718
|
306.4905312
|
6.39403
|
1.21E-05
|
||||||
X1
|
-0.469657287
|
0.264557168
|
-1.77526
|
0.096144
|
||||||
X2
|
-2.163344882
|
0.278361425
|
-7.77171
|
1.23E-06
|
The overall proportion of variation of y accounted by x1 and x2 is _______
0.9523
0.0489
67.671
0.9787
0.9579
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