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

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A rocket motor is manufactured by bonding together two types ofpropellants, an igniter and a sustainer. The shear strength of thebond y is thought to be a linear function of the age of thepropellant x when the motor is cast. Twenty observations are shownin the table below. Construct a scatter plot of the data. Determinethe relationship between bond strength and age of the propellant,and perform a simple linear regression analysis. Tabulate thefollowing values. a) Marginal change b) coefficient ofdetermination (denoted by R²), and c) Standard errorestimate of intercept and slope.
Age (weeks)
Strength
15.50
2158.70
23.75
1678.15
8.00
2316.00
17.00
2061.30
5.00
2207.50
19.00
1708.30
24.00
1784.70
2.50
2575.00
7.50
2357.90
11.00
2277.70
13.00
2165.20
3.75
2399.55
25.00
1779.80
9.75
2336.75
22.00
1765.30
18.00
2053.50
6.00
2414.40
12.50
2200.50
2.00
2654.20
21.50
1753.70

Answer & Explanation Solved by verified expert

3.6 Ratings (285 Votes)

The scatter plot for the above data is as followsThe relationship between bond strength and age of the propellantisBond Stenght 26254 36962 xiThe regreesion analysis See Answer

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Age (weeks)	Strength
15.50	2158.70
23.75	1678.15
8.00	2316.00
17.00	2061.30
5.00	2207.50
19.00	1708.30
24.00	1784.70
2.50	2575.00
7.50	2357.90
11.00	2277.70
13.00	2165.20
3.75	2399.55
25.00	1779.80
9.75	2336.75
22.00	1765.30
18.00	2053.50
6.00	2414.40
12.50	2200.50
2.00	2654.20
21.50	1753.70