What are the sample estimates of β0, β1, and β2?
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
Statistical software was used to fit the model
E(y)=β0+β1x1+β2x2
to
n=20
data points. Complete parts a through
h.
The regression equation is
Y=1676.53−940.95x1−164.58x2
|
Predictor
|
|
Coef
|
|
SE Coef
|
|
T
|
|
P
|
|---|---|---|---|---|---|---|---|---|
|
Constant
|
|
1676.53
|
|
316.6
|
|
5.3
|
|
0.000
|
|
X1
|
|
−940.95
|
|
257.21
|
|
−3.66
|
|
0.002
|
|
X2
|
|
−164.58
|
|
231.08
|
|
−0.71
|
|
0.487
|
S=298.441
R-sq=57.0%
R-sq(adj)=52.0%
Analysis of Variance
|
Source
|
|
DF
|
|
SS
|
|
MS
|
|
F
|
|
P
|
|---|---|---|---|---|---|---|---|---|---|---|
|
Regression
|
|
2
|
|
2,015,321
|
|
1,007,661
|
|
11.31
|
|
0.001
|
|
Residual Error
|
|
17
|
|
1,514,138
|
|
89,067
|
|
|
|
|
|
Total
|
|
19
|
|
3,529,459
|
|
|
|
|
|
a. What are the sample estimates of
β0,
β1,
and
β2?
|
β0
|
=
|
enter your response here
|
|
β1
|
=
|
enter your response here
|
|
β2
|
=
|
enter your response here
|
|
|
|
(Type integers or decimals.)
|
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What is the least squares prediction equation?
y=enter your response here+enter your response here x1+enter your response here x2
(Type integers or decimals.)
Solution
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