Problem 1 Setup: Pierce (1948)¹ mechanically measured the frequency (the number of wing vibrations per second) of chirps (or pulses of sound) made by a striped ground cricket, at various ground temperatures. Since crickets are ectotherms (cold-blooded), the rate of their physiological processes and their overall metabolism are influenced by temperature. Consequently, there is reason to believe that temperature would have a profound effect on aspects of their behavior, such as chirp frequency. In general, it was found that crickets did not sing at temperatures colder than 60°F or warmer than 100°F. The following data shows the relationship between chirps per second of a striped ground cricket and the corresponding ground temperature °F. Chirps/Second | Temperature(°F) 20.0 88.6 16.0 71.6 93.3 84.3 80.6 75.2 19.8 18.4 17.1 15.5 14.7 15.7 15.4 16.3 15.0 17.2 16.0 17.0 14.4 69.7 71.6 69.4 83.3 79.6 82.6 80.6 83.5 76.3 Run R/SAS or another stat software to answer the following questions. Attach your code. 1. Draw a scatter plot and comment on the relationship between the chirp frequency and temperature. 2. Fit the data with a simple linear regression model. Obtain the ANOVA table and the coefficient of determination R². Interpret them. 3. Based on residual plots, comment on the adequacy of the model. Data (insect.TXT) is posted on the Blackboard.
Problem 1 Setup: Pierce (1948)¹ mechanically measured the frequency (the number of wing vibrations per second) of chirps (or pulses of sound) made by a striped ground cricket, at various ground temperatures. Since crickets are ectotherms (cold-blooded), the rate of their physiological processes and their overall metabolism are influenced by temperature. Consequently, there is reason to believe that temperature would have a profound effect on aspects of their behavior, such as chirp frequency. In general, it was found that crickets did not sing at temperatures colder than 60°F or warmer than 100°F. The following data shows the relationship between chirps per second of a striped ground cricket and the corresponding ground temperature °F. Chirps/Second | Temperature(°F) 20.0 88.6 16.0 71.6 93.3 84.3 80.6 75.2 19.8 18.4 17.1 15.5 14.7 15.7 15.4 16.3 15.0 17.2 16.0 17.0 14.4 69.7 71.6 69.4 83.3 79.6 82.6 80.6 83.5 76.3 Run R/SAS or another stat software to answer the following questions. Attach your code. 1. Draw a scatter plot and comment on the relationship between the chirp frequency and temperature. 2. Fit the data with a simple linear regression model. Obtain the ANOVA table and the coefficient of determination R². Interpret them. 3. Based on residual plots, comment on the adequacy of the model. Data (insect.TXT) is posted on the Blackboard.
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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Transcribed Image Text:Problem 1 Setup:
Pierce (1948)¹ mechanically measured the frequency (the number of wing vibrations per second)
of chirps (or pulses of sound) made by a striped ground cricket, at various ground temperatures.
Since crickets are ectotherms (cold-blooded), the rate of their physiological processes and their
overall metabolism are influenced by temperature. Consequently, there is reason to believe that
temperature would have a profound effect on aspects of their behavior, such as chirp frequency.
In general, it was found that crickets did not sing at temperatures colder than 60°F or warmer
than 100°F.
The following data shows the relationship between chirps per second of a striped ground cricket
and the corresponding ground temperature °F.
Chirps/Second Temperature (°F)
20.0
16.0
19.8
18.4
17.1
15.5
14.7
15.7
15.4
16.3
15.0
17.2
16.0
17.0
14.4
88.6
71.6
93.3
84.3
80.6
75.2
69.7
71.6
69.4
83.3
79.6
82.6
80.6
83.5
76.3
Run R/SAS or another stat software to answer the following questions. Attach your code.
1. Draw a scatter plot and comment on the relationship between the chirp frequency and
temperature.
2. Fit the data with a simple linear regression model. Obtain the ANOVA table and the
coefficient of determination R². Interpret them.
3. Based on residual plots, comment on the adequacy of the model.
Data (insect.TXT) is posted on the Blackboard.
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