1. Problem Solving a. A study was conducted at Virginia Tech to determine if certain static arm-strength measures have an influence on the "dynamic lift" characteristics of an individual. Twenty- five individuals were subjected to strength tests and then were asked to perform a weight- lifting test in which weight was dynamically lifted overhead. The data are given here. Arm Strength, I 17.3 19.3 Dynamic Lift, y 71.7 Individual 1 2 48.3 19.5 19.7 22.9 23.1 3 4 88.3 75.0 91.7 6 7 8 9 10 11 100.0 73.3 65.0 75.0 26.4 26.8 27.6 28.1 28.2 88.3 68.3 96.7 76.7 78.3 12 28.7 29.0 29.6 29.9 29.9 13 14 15 16 17 18 19 20 21 30.3 31.3 36.0 60.0 71.7 85.0 85.0 88.3 39.5 40.4 44.3 100.0 100.0 22 23 100.0 91.7 44.6 50.4 55.9 100.0 71.7 24 25 (a) Estimate B0 and ß1 for the linear regression curve µY]x=ßo+ß1x. (b) Find a point estimate of PY |30. (c) Plot the residuals versus the x's (arm strength). Make your own conclusion

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The Subject is Engineering Data Analysis

Simple Linear Regression

1. Problem Solving
a. A study was conducted at Virginia Tech to determine if certain static arm-strength
measures have an influence on the "dynamic lift" characteristics of an individual. Twenty-
five individuals were subjected to strength tests and then were asked to perform a weight-
lifting test in which weight was dynamically lifted overhead. The data are given here.
Arm
Dynamic
Lift, y
71.7
Individual
Strength, ¤
17.3
2
19.3
48.3
19.5
19.7
88.3
75.0
4
22.9
91.7
100.0
23.1
73.3
65.0
75.0
88.3
68.3
96.7
76.7
78.3
60.0
71.7
7
26.4
8.
9
26.8
27.6
10
11
28.1
28.2
12
28.7
29.0
13
14
29.6
29.9
29.9
30.3
31.3
36.0
15
16
17
18
85.0
85.0
88.3
100.0
100.0
100.0
91.7
100.0
19
20
21
39.5
40.4
44.3
22
23
24
44.6
50.4
55.9
25
71.7
(a) Estimate Bo and B1 for the linear regression curve µY|x=Bo+ß1X.
(b) Find a point estimate of µY 130.
(c) Plot the residuals versus the x's (arm strength). Make your own conclusion
Transcribed Image Text:1. Problem Solving a. A study was conducted at Virginia Tech to determine if certain static arm-strength measures have an influence on the "dynamic lift" characteristics of an individual. Twenty- five individuals were subjected to strength tests and then were asked to perform a weight- lifting test in which weight was dynamically lifted overhead. The data are given here. Arm Dynamic Lift, y 71.7 Individual Strength, ¤ 17.3 2 19.3 48.3 19.5 19.7 88.3 75.0 4 22.9 91.7 100.0 23.1 73.3 65.0 75.0 88.3 68.3 96.7 76.7 78.3 60.0 71.7 7 26.4 8. 9 26.8 27.6 10 11 28.1 28.2 12 28.7 29.0 13 14 29.6 29.9 29.9 30.3 31.3 36.0 15 16 17 18 85.0 85.0 88.3 100.0 100.0 100.0 91.7 100.0 19 20 21 39.5 40.4 44.3 22 23 24 44.6 50.4 55.9 25 71.7 (a) Estimate Bo and B1 for the linear regression curve µY|x=Bo+ß1X. (b) Find a point estimate of µY 130. (c) Plot the residuals versus the x's (arm strength). Make your own conclusion
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