The speed of sound through air is linearly related to the temperature of the air. If sound travels at 320 m/ sec at 0°C and at 326 m/sec at 20°C, construct a linear model relating the speed of sound (s) and the air temperature (t). Interpret the slope of this model. Construct a linear model relating the speed of sound (s) and the air temperature (t). s= 0.3t + 320
The speed of sound through air is linearly related to the temperature of the air. If sound travels at 320 m/ sec at 0°C and at 326 m/sec at 20°C, construct a linear model relating the speed of sound (s) and the air temperature (t). Interpret the slope of this model. Construct a linear model relating the speed of sound (s) and the air temperature (t). s= 0.3t + 320
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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
Transcribed Image Text:The speed of sound through air is linearly related to the temperature of the air. If sound travels at 320 m/ sec at 0°C
and at 326 m / sec at 20°C, construct a linear model relating the speed of sound (s) and the air temperature (t).
Interpret the slope of this model.
Construct a linear model relating the speed of sound (s) and the air temperature (t).
s= 0.3t + 320
(Type an equation using t as the variable.)
Interpret the slope of this model.
O A. The rate of change of speed of sound with respect
to temperature is 0.3 m/sec per °C.
B. The rate of change of speed of sound with respect
to temperature is 20 m/ sec per °C.
C. The rate of change of speed of sound with respect O D. The rate of change of speed of sound with respect
to temperature is 16.3 m/ sec per °C.
to temperature is 6 m/ sec per °C.
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Follow-up Question
5c please answer the C

Transcribed Image Text:The table lists fossil fuel production as a percentage of total energy production for selected years. A linear regression
(A) Draw a scatter plot of the data and a graph of the model on the same axes.
model for this data is
O A.
O B.
y = - 0.22x + 97.2
where x represents years after 1960 and y represents the corresponding percentage of oil imports.
100-
100-
Fossil Fuel Production
Year
Production (%)
0-
1960
96
60
60
1970
95
Years after 1960
Years after 1960
1980
94
1990
93
2000
86
100-
100-
0-
60
60
Years after 1960
Years after 1960
(B) Interpret the slope of the model.
The rate of change of the percentage of oil imports with respect to time is -0.22%
per year.
(C) Use the model to predict fossil fuel production in 2010.
In 2010 fossil fuel production as a percentage of total production will be about
%.
(Round to one decimal place as needed.)
Solution
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