a. Fit a straight line by the method of least squares. Proved the slope, intercept and the R?. 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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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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 observations are shown in the
following table.
Observation Strength
Age
Observation Strength
Age
Number
(psi)
(weeks)
Number
(psi)
(weeks)
1
2158.70
15.50
11
2165.20
13.00
1678.15
23.75
12
2399.55
3.75
3
2316.00
8.00
13
1779.80
25.00
4
2061.30
17.00
14
2336.75
9.75
2207.50
5.00
15
1765.30
22.00
1708.30
19.00
16
2053.50
18.00
7
1784.70
24.00 I
17
2414.40
6.00
2575.00
2.50
18
2200.50
12.50
2357.90
7.50
19
2654.20
2.00
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) 1 2158.70 15.50 11 2165.20 13.00 1678.15 23.75 12 2399.55 3.75 3 2316.00 8.00 13 1779.80 25.00 4 2061.30 17.00 14 2336.75 9.75 2207.50 5.00 15 1765.30 22.00 1708.30 19.00 16 2053.50 18.00 7 1784.70 24.00 I 17 2414.40 6.00 2575.00 2.50 18 2200.50 12.50 2357.90 7.50 19 2654.20 2.00
10
2277.70
11.00
20
1753.70
21.50
a. Fit a straight line by the method of least squares. Proved the slope, intercept and the R.
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.
Transcribed Image Text:10 2277.70 11.00 20 1753.70 21.50 a. Fit a straight line by the method of least squares. Proved the slope, intercept and the R. 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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