In: Statistics and Probability
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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DETAILED explanation to obtain the above result in excel


