Suppose you fit the first-order multiple regression model y=β0+β1x1+β2x2+ε to n=25 data points and obtain the prediction equation y=−79.02+5.6x1+2.84x2. The estimated standard deviations of the sampling distributions of β1 and β2 are 1.06 and 0.53,
Suppose you fit the first-order multiple regression model y=β0+β1x1+β2x2+ε to n=25 data points and obtain the prediction equation y=−79.02+5.6x1+2.84x2. The estimated standard deviations of the sampling distributions of β1 and β2 are 1.06 and 0.53,
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Suppose you fit the first-order multiple regression model
y=β0+β1x1+β2x2+ε
to
n=25
data points and obtain the prediction equation
y=−79.02+5.6x1+2.84x2.
The estimated standard deviations of the sampling distributions of
β1
and
β2
are
1.06
and
0.53,
respectively.a. Test
H0: β1=0
against
Ha: β1>0.
Use
α=0.01.
b. Test
H0: β2=0
against
Ha: β2≠0.
Use
α=0.01.
c. Find a
90%
confidence interval for
β1.
Interpret the interval.d. Find a
95%
confidence interval for
β2.
Interpret the interval.a. The test statistic is
enter your response here.
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