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.