A rocket motor is manufactured by bonding together two types of propellants, an igniter and a sustainer. The shear stren

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A Rocket Motor Is Manufactured By Bonding Together Two Types Of Propellants An Igniter And A Sustainer The Shear Stren 1 (42.38 KiB) Viewed 19 times

A rocket motor is manufactured by bonding together two types of propellants, an igniter and a sustainer. The shear strength of the bond yis thought to be a linear function of the age of the propellant xwhen the motor is cast. Twenty observations are shown in the following table. Obs. No. Strength (psily Age (weeks) X Obs. No. Strength (psily Age (weeks) x 1 2155.51 14.75 11 2153.30 11.75 N 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 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 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. selo) 1 (Round your answer to 3 decimal places.) selfi) = (c) Test the hypothesis Ho: B = (Round your answer to 3 decimal places.) -30 versus Hu: B1 + - 30 using a = 0.10. (Round your answer to 3 decimal places.) Is the slope equal to -30? (d) Test the hypothesis Ho: Bo = Oversus H: Bo #Ousing a = 0.01. (Round your answer to 3 decimal places.) = 3 Is the intercept significant in the model? (e) Test the hypothesis Ho: Bo = 2500 versus H: Bo > 2500 using a = 0.025. (Round your answer to 3 decimal places.) Is the intercept significantly greater than 2500?