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...

Extracted 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


Extracted 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?