1. A healthy human body temperature is 37.0 °C. Eight people were medically examined and the difference in their body temperature (°C), from 37.0 °C, was recorded. Their heartbeat (beats per minute) was also recorded. Temperature difference from 37°C (x) -0.2 0.3 -0.3 -0.2 -0.1 0.2 0.5 Heartbeat (y) 63 77 70 74 65 78 79 86 This data can be modelled by the regression line with the equation y = ax + b. a. Write down the value of a and b. b. Explain what the gradient a represents.
1. A healthy human body temperature is 37.0 °C. Eight people were medically examined and the difference in their body temperature (°C), from 37.0 °C, was recorded. Their heartbeat (beats per minute) was also recorded. Temperature difference from 37°C (x) -0.2 0.3 -0.3 -0.2 -0.1 0.2 0.5 Heartbeat (y) 63 77 70 74 65 78 79 86 This data can be modelled by the regression line with the equation y = ax + b. a. Write down the value of a and b. b. Explain what the gradient a represents.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Transcribed Image Text:1. A healthy human body temperature is 37.0 °C. Eight people were medically examined and the difference in their
body temperature (°C), from 37.0 °C, was recorded. Their heartbeat (beats per minute) was also recorded.
Temperature difference from 37°C (x)
-0.2
0.3
-0.3
-0.2
-0.1
0.2
0.5
Heartbeat (y)
63
77
70
74
65
78
79
86
This data can be modelled by the regression line with the equation y = ax + b.
a. Write down the value of a and b.
b. Explain what the gradient a represents.
c. Use the model to estimate the heartbeat of
someone whose body temperature is 0.4° above 37°.
d. State which two of the following best describe the
correlation between the variables.
strong
zero
positive
negative
no correlation
weak
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