Find a 95% confidence interval for a in the regression line uyl = a+ Bx. Using the estimated value of a, test the hypothesis that a = 0 at 0.05 level of

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Solve manually NOT thru excel. Kindly answer D and E. For D show how the value 2.0423 became I want a detailed solution, also don't use excel in getting the p value for letter E, show how to compute it manually.
1. Referring to the pollution data of Table 1:
Table 1: Measures of Solids and Chemical Oxygen Demand
Soilds Reduction, x
(%)
4
Chemical Oxygen
Demand, y (%)
Soilds Reduction, x
Chemical Oxygen
Demand, y (%)
(%)
6.
36
37
10
37
36
12
22
37
39
15
16
38
38
18
16
39
37
25
29
39
45
28
26
40
39
25
35
30
32
30
41
42
30
42
44
31
42
41
32
43
39
33
34
43
40
33
33
45
45
35
37
47
50
36
35
45
30
36
51
38
38
a. Estimate the regression line.
b. Find a 95 % confidence interval for B in the regression line uyl = a+ Bx.
c. Using the estimated value of b, test the hypothesis that b= 1.0.
d. Find a 95% confidence interval for a in the regression line uyl = a+ Bx.
e. Using the estimated value of a, test the hypothesis that a = 0 at 0.05 level of
significance.
Transcribed Image Text:1. Referring to the pollution data of Table 1: Table 1: Measures of Solids and Chemical Oxygen Demand Soilds Reduction, x (%) 4 Chemical Oxygen Demand, y (%) Soilds Reduction, x Chemical Oxygen Demand, y (%) (%) 6. 36 37 10 37 36 12 22 37 39 15 16 38 38 18 16 39 37 25 29 39 45 28 26 40 39 25 35 30 32 30 41 42 30 42 44 31 42 41 32 43 39 33 34 43 40 33 33 45 45 35 37 47 50 36 35 45 30 36 51 38 38 a. Estimate the regression line. b. Find a 95 % confidence interval for B in the regression line uyl = a+ Bx. c. Using the estimated value of b, test the hypothesis that b= 1.0. d. Find a 95% confidence interval for a in the regression line uyl = a+ Bx. e. Using the estimated value of a, test the hypothesis that a = 0 at 0.05 level of significance.
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