Homework Help is Here – Start Your Trial Now!
Math
Statistics
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. (a) Perform a linear regression to determine the equation allowing FTF to be predicted by T1, i.e. FTF = b0 + b­1T1. i) What is the equation of the best-fit line? ii) What is the F statistic and P value for the regression? Do these indicate that the regression is significant? iii) What is the value of R2? How much variation does the regression take account of?

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. (a) Perform a linear regression to determine the equation allowing FTF to be predicted by T1, i.e. FTF = b0 + b­1T1. i) What is the equation of the best-fit line? ii) What is the F statistic and P value for the regression? Do these indicate that the regression is significant? iii) What is the value of R2? How much variation does the regression take account of?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
100%

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.

(a) Perform a linear regression to determine the equation allowing FTF to be predicted by T1, i.e. FTF = b0 + b­1T1.

i) What is the equation of the best-fit line?

ii) What is the F statistic and P value for the regression? Do these indicate that the regression is significant?

iii) What is the value of R2? How much variation does the regression take account of?

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
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
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS