3 Consider a classical normal linear regression model (CNLRM): , where . Data are given in the table below. Calculate the 90% confidence interval for .

i
Y
X

1
1
2.1

2
2
3.1

3
3
3

4
4
3.2

5
5
4.3

6
6
4.4

7
7
4.8

So, this data can be summarized as follows:

Also, you may need the following relationships.

⚪ (0.22,0.72)
⚪ (0.32,0.54)
⚪ (0.45,0.68)
⚪ (0.59,0.87)
⚪ Cannot calculate it. (need more assumption)

Question

3  Consider a classical normal linear regression model (CNLRM): , where . Data are given in the table below. Calculate the 90% confidence interval for .




i
Y
X


1
1
2.1


2
2
3.1


3
3
3


4
4
3.2


5
5
4.3


6
6
4.4


7
7
4.8




 
So, this data can be summarized as follows:
 
  
  
  
  
  
 

Also, you may need the following relationships.
  
  
  
 

⚪ (0.22,0.72)
⚪ (0.32,0.54)
⚪ (0.45,0.68)
⚪ (0.59,0.87)
⚪ Cannot calculate it. (need more assumption)

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