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 Number (psi) Age (weeks) Observation Strength Number (psi) Age (weeks) 1 2158.70 15.50 11 2165.20 13.00 2 1678.15 23.75 1 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 5 2207.50 5.00 15 1765.30 22.00 6 1708.30 19.00 16 2053.50 18.00 7 1784.70 24.001 17 2414.40 6.00 8 2575.00 2.50 18 2200.50 12.50 9 2357.90 7.50 1 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 R2. 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