Arocket motor is marufactured by bonding together two types of propefants. an igniter and a sustainer. The shear strength of the bond is thought to be a incar tunction of the age af the propellant when the motor is cast. Twenty observations are shown in the following table Observation Strength. Age (ps weeks) Observation Strengh Age Number Number es) tweeks 2585 45 I 11 1 22105 175 23679 133 I 12 26642 2 75 2326 125 I 13 17898 28 2287.7. 18 I 14 17637 25 22175 115 I15 17753 27 21887 208 I 16 21752 194 23 I 17 20713 2346.75 15 244 18 20635 25 293 I los 17947 19 24244

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter3: Functions And Graphs
Section3.3: Lines
Problem 60E
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Arocket motor is marufactured by bonding together two types of propelants. 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. Twenty observations are shown in the following table.
Observation Strength.
(ps) (weeks)
Age .Observation Strength
Age
(psi) I (weeks)
Number
Number
1
2585 6.5 I
11
22105
175
2
2367.9
13.3 I
12
26642
75
3
2326
125 I 13
17898
28
2287.7. 18 I 14
17637
25
115 1 15
22175
17753
27
6.
2168.7
20.8 I
16
21752
194
20713 23 I 17
2345.75
15
244 I 18
18183
20635
24
293 I 19
24244 los
17947
1688 15 304
240955
10
20
78
Transcribed Image Text:Arocket motor is marufactured by bonding together two types of propelants. 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. Twenty observations are shown in the following table. Observation Strength. (ps) (weeks) Age .Observation Strength Age (psi) I (weeks) Number Number 1 2585 6.5 I 11 22105 175 2 2367.9 13.3 I 12 26642 75 3 2326 125 I 13 17898 28 2287.7. 18 I 14 17637 25 115 1 15 22175 17753 27 6. 2168.7 20.8 I 16 21752 194 20713 23 I 17 2345.75 15 244 I 18 18183 20635 24 293 I 19 24244 los 17947 1688 15 304 240955 10 20 78
I Question 4
Calculate and Interpret the coefficient of determination R?,
OR-O884
80 4% of the ebserved variante of strength about their mean is attributable to the linear relationship between strength and ape.
OR-0.940
94.06 of the observed varlance of strength about their mean is attributable to the linear retationship between strength and age.
OR-0877
87,7% of the cbserved variance of strencth about their mean is attributable to the Inear relationsip between strength and age.
OR-OB84
(100 - 88A ef the observed varlance of strength about their mean is attributable to the linear relationship hetween strength and age.
O R -0940
(100 - 94.0 el the observed varlance of strength about their mean is atfributable to the linear relationship between strength and ape.
Question 5
Does the age of the propellant appcar to contribute any information to the prediction of shear strength of the bond? Test at the 1% level of significance.
O Since Pvalue O0t. therefore at 1% level of sigpificance, the age of the propettant appear to contrbute anv intormation to the prediction of thear strength of the bond.
O Snce valueOus. therefore at 1% level ot ignhcance the age of the propeftant appea to contrbute any nformation to the predicton of shear strength of the bond.
O since value 001. therefore at 1 tevel of sigificnce, the ape of the propetant does not contr bute to the predicion of shear strength of the bond.
O Since Pvatue 01 therefore at 1 eelet signfcance the ape of the propeltant dces net contribate to the prediction of shear strength of the bond,
Transcribed Image Text:I Question 4 Calculate and Interpret the coefficient of determination R?, OR-O884 80 4% of the ebserved variante of strength about their mean is attributable to the linear relationship between strength and ape. OR-0.940 94.06 of the observed varlance of strength about their mean is attributable to the linear retationship between strength and age. OR-0877 87,7% of the cbserved variance of strencth about their mean is attributable to the Inear relationsip between strength and age. OR-OB84 (100 - 88A ef the observed varlance of strength about their mean is attributable to the linear relationship hetween strength and age. O R -0940 (100 - 94.0 el the observed varlance of strength about their mean is atfributable to the linear relationship between strength and ape. Question 5 Does the age of the propellant appcar to contribute any information to the prediction of shear strength of the bond? Test at the 1% level of significance. O Since Pvalue O0t. therefore at 1% level of sigpificance, the age of the propettant appear to contrbute anv intormation to the prediction of thear strength of the bond. O Snce valueOus. therefore at 1% level ot ignhcance the age of the propeftant appea to contrbute any nformation to the predicton of shear strength of the bond. O since value 001. therefore at 1 tevel of sigificnce, the ape of the propetant does not contr bute to the predicion of shear strength of the bond. O Since Pvatue 01 therefore at 1 eelet signfcance the ape of the propeltant dces net contribate to the prediction of shear strength of the bond,
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