Sports scientists want to use nuclear magnetic resonance spectroscopy, NMR, to predict the muscle fibre composition in the thighs of athletes. They obtained the data in the screenshot, which contains three variables: FTF – the percentage of fast twitch fibres in the muscle. T1 – the T1 relaxation time measured in ms. T2 – the T2 relaxation time measured in ms. Perform a multiple linear regression using the model FTF = b0 + b1T1 + b2T2. i) What are the values of the three coefficients in the equation? ii) What is the F statistic and P value for the regression? Do these indicate that the regression is significant? iii) Does adding the other NMR relaxation time, T2, to the predictive equation significantly improve the ability of NMR spectroscopy to predict muscle fibre type? Explain your conclusions.
Sports scientists want to use nuclear magnetic resonance spectroscopy, NMR, to predict the muscle fibre composition in the thighs of athletes. They obtained the data in the screenshot, which contains three variables: FTF – the percentage of fast twitch fibres in the muscle. T1 – the T1 relaxation time measured in ms. T2 – the T2 relaxation time measured in ms. Perform a multiple linear regression using the model FTF = b0 + b1T1 + b2T2. i) What are the values of the three coefficients in the equation? ii) What is the F statistic and P value for the regression? Do these indicate that the regression is significant? iii) Does adding the other NMR relaxation time, T2, to the predictive equation significantly improve the ability of NMR spectroscopy to predict muscle fibre type? Explain your conclusions.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Sports scientists want to use nuclear magnetic resonance spectroscopy, NMR, to predict the muscle fibre composition in the thighs of athletes. They obtained the data in the screenshot, which contains three variables:
- FTF – the percentage of fast twitch fibres in the muscle.
- T1 – the T1 relaxation time measured in ms.
- T2 – the T2 relaxation time measured in ms.
Perform a multiple linear regression using the model FTF = b0 + b1T1 + b2T2.
i) What are the values of the three coefficients in the equation?
ii) What is the F statistic and P value for the regression? Do these indicate that the regression is significant?
iii) Does adding the other NMR relaxation time, T2, to the predictive equation significantly improve the ability of NMR spectroscopy to predict muscle fibre type? Explain your conclusions.
Transcribed Image Text:1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
FTF
38
44
39
33
29
45
47
55
58
55
61
67
68
69
72
93
T1
313
320
322
320
321
324
332
348
350
354
362
364
368
373
382
379
tutulub
T2
22.3
26.7
25.6
24.5
23.0
28.1
26.5
28.3
28.3
31.0
29.5
29.7
29.9
30.0
32.3
32.7
var
var
var
var
var
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