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 5.285.28. ​(Round to two decimal places as​ needed.) Part 2 The​ p-value is 0.0000.000. ​(Round to three decimal places as​ needed.) Part 3 Reject   the null hypothesis. There is   sufficient evidence to support the alternative hypothesis. Part 4 b. The test statistic is enter your response here. ​(Round to two decimal places as​ needed.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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
5.285.28.
​(Round to two decimal places as​ needed.)
Part 2
The​ p-value is
0.0000.000.
​(Round to three decimal places as​ needed.)
Part 3
Reject
 
the null hypothesis. There
is
 
sufficient evidence to support the alternative hypothesis.
Part 4
b. The test statistic is
enter your response here.
​(Round to two decimal places as​ needed.)
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