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. Obs. No. Strength (psi) y Age (weeks) x Obs. No. Strength (psi) y Age (weeks) x 1 2170.90 14.25 11 2183.40 14.25 2 1,678.15 23.75 12 2,399.55 3.75 3 2,316.00 8.00 13 1,779.80 25.00 4 2,061.30 17.00 14 2,336.75 9.75 5 2,207.50 5.00 15 1,765.30 22.0 6 1,708.30 19.00 16 2,053.50 18.00 7 1,784.70 24.00 17 2,414.40 6.00 8 2,575.00 2.50 18 2,200.50 12.50 2,357.90 7.50 19 2,654.20 2.00 10 2,277.70 11.00 20 1,753.70 21.50

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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.
Obs. No. Strength (psi) y Age (weeks) x
Obs. No. Strength (psi) y Age (weeks) x
1
2170.90
14.25
11
2183.40
14.25
2
1,678.15
23.75
12
2,399.55
3.75
3
2,316.00
8.00
13
1,779.80
25.00
4
2,061.30
17.00
14
2,336.75
9.75
5
2,207.50
5.00
15
1,765.30
22.0
6
1,708.30
19.00
16
2,053.50
18.00
7
1,784.70
24.00
17
2,414.40
6.00
8
2,575.00
2.50
18
2,200.50
12.50
9.
2,357.90
7.50
19
2,654.20
2.00
10
2,277.70
11.00
1,753.70
21.50
20
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. Obs. No. Strength (psi) y Age (weeks) x Obs. No. Strength (psi) y Age (weeks) x 1 2170.90 14.25 11 2183.40 14.25 2 1,678.15 23.75 12 2,399.55 3.75 3 2,316.00 8.00 13 1,779.80 25.00 4 2,061.30 17.00 14 2,336.75 9.75 5 2,207.50 5.00 15 1,765.30 22.0 6 1,708.30 19.00 16 2,053.50 18.00 7 1,784.70 24.00 17 2,414.40 6.00 8 2,575.00 2.50 18 2,200.50 12.50 9. 2,357.90 7.50 19 2,654.20 2.00 10 2,277.70 11.00 1,753.70 21.50 20
Fit a linear regression model.
(a) Test for significance of regression with a =
0.01.
fo
(Round your answer to 2 decimal places.)
Is the model significant?
(b) Estimate the standard errors of the intercept and slope.
se( ß o)
i
(Round your answer to 3 decimal places.)
se( B 1) =
(Round your answer to 3 decimal places.)
i
(c) Test the hypothesis Ho: B1
- 30 versus H1: Bi # – 30 using a = 0.10.
to = i
(Round your answer to 3 decimal places.)
Is the slope equal to -30?
(d) Test the hypothesis Ho: Bo = 0 versus H1: Bo 7 0 using a = 0.01.
to
(Round your answer to 3 decimal places.)
Is the intercept significant in the model?
(e) Test the hypothesis Ho: Bo
2500 versus H1: Bo > 2500 using a =
-0.025.
to=
(Round your answer to 3 decimal places.)
Is the intercept significantly greater than 2500?
Transcribed Image Text:Fit a linear regression model. (a) Test for significance of regression with a = 0.01. fo (Round your answer to 2 decimal places.) Is the model significant? (b) Estimate the standard errors of the intercept and slope. se( ß o) i (Round your answer to 3 decimal places.) se( B 1) = (Round your answer to 3 decimal places.) i (c) Test the hypothesis Ho: B1 - 30 versus H1: Bi # – 30 using a = 0.10. to = i (Round your answer to 3 decimal places.) Is the slope equal to -30? (d) Test the hypothesis Ho: Bo = 0 versus H1: Bo 7 0 using a = 0.01. to (Round your answer to 3 decimal places.) Is the intercept significant in the model? (e) Test the hypothesis Ho: Bo 2500 versus H1: Bo > 2500 using a = -0.025. to= (Round your answer to 3 decimal places.) Is the intercept significantly greater than 2500?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman