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 observatic are shown in the following table.
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 observatic are shown in the following table.
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![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 observation
are shown in the following table.
Observation Strength
Age
Observation Strength
Age
Number
(psi)
(weeks)
Number
(psi)
(weeks)
2178.7
15.8|
11
2165.2
14.4
1678.15
25.4
12
2399.55
2.8
2316
7.5
13
1779.8
23
2061.3
18
14
2336.75
10
2207.5
6.5
15
1765.3
22
1808.3
19.4
16
2053.5
21
1784.7
24.3
%3D
17
2414.4
5.5
8
2575
1.5
18
2200.5
12.5
9.
2357.9
8.3
3D
19
2654.2
2.5
1.
2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9fbbe7c6-1db2-4c78-ae01-cf9fe9952c21%2F99671d18-f93d-4f94-85de-ef67d421bb91%2Fc1yct5h_processed.jpeg&w=3840&q=75)
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 observation
are shown in the following table.
Observation Strength
Age
Observation Strength
Age
Number
(psi)
(weeks)
Number
(psi)
(weeks)
2178.7
15.8|
11
2165.2
14.4
1678.15
25.4
12
2399.55
2.8
2316
7.5
13
1779.8
23
2061.3
18
14
2336.75
10
2207.5
6.5
15
1765.3
22
1808.3
19.4
16
2053.5
21
1784.7
24.3
%3D
17
2414.4
5.5
8
2575
1.5
18
2200.5
12.5
9.
2357.9
8.3
3D
19
2654.2
2.5
1.
2.
![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 1% level of significance. Provide
the complete Regression Analysis.
c. If a propellant age is 30 weeks, find a 99% prediction interval for the shear
strength of the bond.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9fbbe7c6-1db2-4c78-ae01-cf9fe9952c21%2F99671d18-f93d-4f94-85de-ef67d421bb91%2Fgczpwu_processed.jpeg&w=3840&q=75)
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 1% level of significance. Provide
the complete Regression Analysis.
c. If a propellant age is 30 weeks, find a 99% prediction interval for the shear
strength of the bond.
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