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In: Statistics and Probability

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

A rocket motor is manufactured by bonding together two types of propellants, an igniter and a sustainer. The shear strength of the bond (?) is thought to be a linear function of the age of the propellant (?) when the motor is cast. Based on the provided observations:

Strength (psi) Age (week)
2158.7 15.5
1678.15 23.75
2316 8
2061.3 17
2207.5 5
1708.3 19
1784.7 24
2575 2.5
2357.9 7.5
2277.7 11
2165.2 13
2399.55 3.75
1779.8 25
2336.75 9.75
1765.3 22
2053.5 18
2414.4 6
2200.5 12.5
2654.2 2
1753.7 21.5

In a single figure, show the scattered plot of the sample, the linear regression line, the 95% CI on the mean responses, and the 95% prediction intervals.

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