1.
value:
25.00 points
Consider the following simple linear regression results based on 20 observations. Use
Table 2
.
Coefficients
Standard Error
t
Stat
p
-value
Lower 95%
Upper 95%
Intercept
32.1051
4.6194
6.9501
0.0000
22.40
41.81
x
1
0.3617
0.1584
2.2835
0.0348
0.03
0.69
a-1.
Choose the hypotheses to determine if the intercept differs from zero.
[removed]
H
0
:
β
0
≤ 0;
H
A
:
β
0
> 0
[removed]
H
0
:
β
0
≥ 0;
H
A
:
β
0
< 0
[removed]
H
0
:
β
0
= 0;
H
A
:
β
0
≠ 0
a-2.
At the 5% significance level, what is the conclusion to the hypothesis test? Does the intercept differ from zero?
[removed]
Reject
H
0
the intercept is greater than zero.
[removed]
Reject
H
0
the intercept differs from zero.
[removed]
Do not reject
H
0
the intercept differs from zero.
[removed]
Do not reject
H
0
the intercept is greater than zero.
b-1.
Construct the 95% confidence interval for the slope coefficient.
(Negative values should be indicated by a minus sign.
Round your intermediate calculations to 4 decimal places,
"
t
α/2,df
" value to 3 decimal places and final answers to 2 decimal places.)
Confidence interval
[removed] to [removed]
b-2.
At the 5% significance level, does the slope differ from zero?
[removed]
Yes, since the interval does not contain zero.
[removed]
No, since the interval contains zero.
[removed]
Yes, since the interval contains zero.
[removed]
No, since the interval does not contain zero.

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