Answered: Cardiologists use the short-range…

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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Cardiologists use the short-range scaling exponent α₁, which measures the randomness of heart rate patterns, as a tool to assess risk of heart attack. The article “Applying Fractal Analysis to Short Sets of Heart Rate Variability Data” compared values of α₁ computed from long series of measurements (approximately 40,000 heartbeats) with those estimated from the first 300 beats to determine how well the long-term measurement (y) could be predicted the short-term one (x). Following are the data (obtained by digitizing a graph).

Short	Long
0.54	0.55
1.02	0.79
1.4	0.81
0.88	0.9
1.68	1.05
1.16	1.05
0.82	1.05
0.93	1.07
1.26	1.1
1.18	1.19
0.81	1.19
0.81	1.2
1.28	1.23
1.18	1.23
0.71	1.24

Note: This problem has a reduced data set for ease of performing the calculations required. This differs from the data set given for this problem in the text.

Compute the least-squares line for predicting the long-term measurement from the short-term measurement. Round the answers to three decimal places.

y = + x

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