Referring to the pollution data of Table 1: Table 1: Measures of Solids and Chemical Oxygen Demand Soilds Reduction, x (%) Chemical Oxygen Demand, y (%) Soilds Reduction, x (%) 36 Chemical Oxygen Demand, y (%) 37
Referring to the pollution data of Table 1: Table 1: Measures of Solids and Chemical Oxygen Demand Soilds Reduction, x (%) Chemical Oxygen Demand, y (%) Soilds Reduction, x (%) 36 Chemical Oxygen Demand, y (%) 37
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Kindly solve letters D and E NOT thru excel. Show the step by step solutions like the attached second picture.
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.
Transcribed Image Text:(b.) The 95% confidence interval is
given as:
Z5% = 1.96 (obtained from Z-table at
5% level of significance).
(1–r²)Sy²
(2-2) sx²
= B+ Za% x
-(0.9599)?
= 0. 890875 ±1.96 ×
(32–2)×127.2.
= 0. 890875 ± 1. 96 ×
0.078647×109.612
30×127.249
= 0.890875 ±1.96 × /0.002258
= 0. 890875 ± 1.96 × 0.047521
= 0. 890875 ± 0.093141
0. 890875 – 0.093141, 0. 890875 -
0.797734, 0.984016
Thus, the required confidence
interval is (0.797734, 0.984016).
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