a. Fit a straight line by the method of least squares. Proved the slope, intercept and the R2. b. Does the age of the propellant appear to contribute any information to the prediction of shear strength of the bond? Test at the 5% level of significance. Provide the complete Regression Analysis. c. If a propellant age is 28 weeks, find a 95% prediction interval for the shear strength of the bond.
a. Fit a straight line by the method of least squares. Proved the slope, intercept and the R2. b. Does the age of the propellant appear to contribute any information to the prediction of shear strength of the bond? Test at the 5% level of significance. Provide the complete Regression Analysis. c. If a propellant age is 28 weeks, find a 95% prediction interval for the shear strength of the bond.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
F1
Transcribed Image Text:A rocket motor is manufactured by bonding together two types of propellants, an
igniter and a sustainer. The shear strength of the bond (y) is thought to be a linear
function of the age of the propellant (x) when the motor is cast. Twenty
observations are shown in the following table.
Observation Strength
Age
Observation Strength
Age
Number
(psi)
(weeks)
Number
(psi)
(weeks)
2158.70
15.50
11
2165.20
13.00
1678.15
23.75
12
2399.55
3.75
2316.00
8.00
13
1779.80
25.00
4
2061.30
17.00
14
2336.75
9.75
5.
2207.50
5.00
15
1765.30
22.00
6.
1708.30
19.00
%3D
16
2053.50
18.00
1784.70
24.00
3D
17
2414.40
6.00
8
2575.00
2.50
18
2200.50
12.50
2357.90
7.50
19
2654.20
2.00
10
2277.70
11.00
1753.70
21.50
20
1.
2.
3,
Transcribed Image Text:a. Fit a straight line by the method of least squares. Proved the slope, intercept and
the R2.
b. Does the age of the propellant appear to contribute any information to the
prediction of shear strength of the bond? Test at the 5% level of significance.
Provide the complete Regression Analysis.
c. If a propellant age is 28 weeks, find a 95% prediction interval for the shear
strength of the bond.
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