Can you predict the temperature based on the number of chirps of a cricket? The data below represent the temperature and number of cricket chirps per 15 seconds. Chirps/15 sec x Temp (oF) y 20 89 16 72 20 93 18 84 17 81 16 75 15 70 17 82 15 69 16 83 15 80 17 83 16 81 17 84 14 76 (a) Create a scatterplot. Label the variables and axes. (b) Sketch a line of best fit. (c) Identify two points on your line.
Can you predict the temperature based on the number of chirps of a cricket? The data below represent the temperature and number of cricket chirps per 15 seconds.
|
Chirps/15 sec x |
Temp (oF) y |
|
20 |
89 |
|
16 |
72 |
|
20 |
93 |
|
18 |
84 |
|
17 |
81 |
|
16 |
75 |
|
15 |
70 |
|
17 |
82 |
|
15 |
69 |
|
16 |
83 |
|
15 |
80 |
|
17 |
83 |
|
16 |
81 |
|
17 |
84 |
|
14 |
76 |
(a) Create a scatterplot. Label the variables and axes.
(b) Sketch a line of best fit.
(c) Identify two points on your line.
(d) Calculate the slope of the line that contains your two points.
(e) Find the equation of your line.
(f) Interpret the slope of your line.
(g) What does your formula predict is the temperature when crickets are chirping at 18 chirps per 15 seconds? How does your answer compare with the actual temperature when the chirping occurs at 18 chirps per 15 seconds?
(h) Do you think your formula would be an accurate model for measuring temperatures near freezing? Explain.
(i) Without calculating, what can you say about r?
(j) Use StatCrunch to calculate the linear regression equation and the
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