(a)
Temperature is explanatory variable because researcher wants to find the effect of temperature on the number of Chirps.
(b)
Following is the scatter plot:
(c)
Following table shows the calculations
X | Y | X^2 | Y^2 | XY | |
88.6 | 20 | 7849.96 | 400 | 1772 | |
93.3 | 19.8 | 8704.89 | 392.04 | 1847.34 | |
80.6 | 17.1 | 6496.36 | 292.41 | 1378.26 | |
69.7 | 14.7 | 4858.09 | 216.09 | 1024.59 | |
69.4 | 15.4 | 4816.36 | 237.16 | 1068.76 | |
79.6 | 15 | 6336.16 | 225 | 1194 | |
80.6 | 16 | 6496.36 | 256 | 1289.6 | |
76.3 | 14.4 | 5821.69 | 207.36 | 1098.72 | |
71.6 | 16 | 5126.56 | 256 | 1145.6 | |
84.3 | 18.4 | 7106.49 | 338.56 | 1551.12 | |
75.2 | 15.5 | 5655.04 | 240.25 | 1165.6 | |
82 | 17.1 | 6724 | 292.41 | 1402.2 | |
83.3 | 16.2 | 6938.89 | 262.44 | 1349.46 | |
82.6 | 17.2 | 6822.76 | 295.84 | 1420.72 | |
83.5 | 17 | 6972.25 | 289 | 1419.5 | |
Total | 1200.6 | 249.8 | 96725.86 | 4200.56 | 20127.47 |
(d)
The correlation coefficient between the variables is strong and positive. Scatter plot also shows a strong , positive linear relationship between the variables. So there exists a relationship between the variables.
(e)
(f)
Slope: It is 0.212. It shows that for each unit increase in temperature chirps increased by 0.212 units.
Intercept: It is -0.3151. When temperature is zero the number of chirps is -0.3151. It is not possible so it is meaningless in this case.
(g)
(h)
The actual value 15 is lower than predicted value so it is below average.
1. Contin 1. Crickets make a chirping noise by sliding their wings rapidly over each other....
ONLY A TO C ONLY A TO C ONLY A TO C ONLY A TO C QUESTION 4 Crickets make a chirping noise by sliding their wings rapidly over each other. Perhaps you have noticed that the number of chirps seem to increase with the temperature. The following data list the temperature (in degrees Fahrenheit) and the number of chirps per second for striped cricket. Temperature, .x Chirps per second, 88.6 20.0 93.3 19.8 80.6 17.1 69.7 14.7 69.4 15.4...
A biologist wishes to determine if there is a relationship between temperature and the number of chirps per second of crickets. Below is the data of 15 crickets at various temperatures. Chirps/sec Temperature 20 88.6 16 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 15.4 69.4 16.2 83.3 15 79.6 17.2 82.6 16 80.6 17 83.5 14.4 76.3 Then the linear formula is: Chirps =___+___ *Temperature