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 2172.10 15.50   11 2178.00 11.50 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   20 1,753.70 21.50 Need to find t0

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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.

Obs. No. Strength (psi) y Age (weeks) x   Obs. No. Strength (psi) y Age (weeks) x
1 2172.10 15.50   11 2178.00 11.50
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   20 1,753.70 21.50

Need to find t0

Fit a linear regression model.
(a) Test for significance of regression with a = 0.01.
fo =
152.44
(Round your answer to 2 decimal places.)
Is the model significant? Yes.
(b) Estimate the standard errors of the intercept and slope.
se( B o) =
45.494
(Round your answer to 3 decimal places.)
se( B 1) =
(Round your answer to 3 decimal places.)
2.988
%3D
(c) Test the hypothesis Ho: B1
30 versus H1: B1 # - 30 using a = 0.10.
%3D
to=
i
-26.856
(Round your answer to 3 decimal places.)
Transcribed Image Text:Fit a linear regression model. (a) Test for significance of regression with a = 0.01. fo = 152.44 (Round your answer to 2 decimal places.) Is the model significant? Yes. (b) Estimate the standard errors of the intercept and slope. se( B o) = 45.494 (Round your answer to 3 decimal places.) se( B 1) = (Round your answer to 3 decimal places.) 2.988 %3D (c) Test the hypothesis Ho: B1 30 versus H1: B1 # - 30 using a = 0.10. %3D to= i -26.856 (Round your answer to 3 decimal places.)
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