Correlation coefficient between temperature and chirping
1. The table below gives the chirping frequency for the striped ground cricket and the corresponding temperature.
|
Chirps / second
|
Temperature in degrees F
|
|
20.0
|
88.6
|
|
16.0
|
71.6
|
|
19.8
|
93.3
|
|
18.4
|
84.3
|
|
17.1
|
80.6
|
|
15.5
|
75.2
|
|
14.7
|
69.7
|
|
17.1
|
82.0
|
|
15.4
|
69.4
|
|
16.2
|
83.3
|
|
15.0
|
79.6
|
|
17.2
|
82.6
|
|
16.0
|
80.6
|
|
17.0
|
83.5
|
|
14.4
|
76.3
|
a. Produce a scatter plot for the data. Let chirps/second be your x values (independent) and temperature in degrees Fahrenheit be your y values (dependent). Label appropriately and turn in a hard copy with your work.
Note: You may want to review for directions on how to produce a scatter plot.
b. Based on the scatter plot, what type of correlation, if any, do you observe? Discuss.
c. What is the value of the correlation coefficient between these two variables?
r = _________________________
d. Interpret the value of the correlation coefficient. Discuss.