6.5. Extension of steel wires Ten steel wires of diameter 0.5 mm and length 2.5 m were extended in a laboratory by applying vertical forces of varying magnitudes. Results are as follows 19 25 35 48 53 Force, kg Increase in length, mm 62 6.6 15 42 3.9 56 65 1.7 2.1 2.5 3.4 4.9 5.4 5.7 7.2 (1) Estimate the parameters of a simple linear regression model with force as the explanatory variable (2) Find 95 percent confidence limits for the two parameters (3) Test the hypothesis that the intercept is zero (4) What are the conclusions?
6.5. Extension of steel wires Ten steel wires of diameter 0.5 mm and length 2.5 m were extended in a laboratory by applying vertical forces of varying magnitudes. Results are as follows 19 25 35 48 53 Force, kg Increase in length, mm 62 6.6 15 42 3.9 56 65 1.7 2.1 2.5 3.4 4.9 5.4 5.7 7.2 (1) Estimate the parameters of a simple linear regression model with force as the explanatory variable (2) Find 95 percent confidence limits for the two parameters (3) Test the hypothesis that the intercept is zero (4) What are the conclusions?
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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Please do not use spreadsheet for computing for the answers. Kindly solve them manually and show all necessary computations. Thank you very much!!
Transcribed Image Text:6.5. Extension of steel wires Ten steel wires of diameter 0.5 mm and length 2.5 m were extended in a
laboratory by applying vertical forces of varying magnitudes. Results are as follows
Force, kg
Increase in length, mm
15
19
25
35
42
48
53
56
62
65
1.7
2.1
2.5
3.4
3.9
4.9
5.4
5.7
6.6
7.2
(1)
Estimate the parameters of a simple linear regression model with force as the explanatory variable
(2)
Find 95 percent confidence limits for the two parameters
(3)
Test the hypothesis that the intercept is zero
(4)
What are the conclusions?
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