Time, Temperature and Humidity
In this project we are going to study the relationship between time of day and temperature and time of day and humidity. For the nearest big city in your area, find the hourly temperature and humidity readings from 7 a.m. until 11 p.m. for some day this month. This information can usually be found in a newspaper such as The Dallas Morning News. If you are unable to locate the readings, use the data in the table below which contains the time, temperature (in Farenheit), and humidity (as a percentage) for Saturday, July 8, 2000 at the DFW International Airport.
|
Time |
Temperature |
Humidity |
|
7 a.m. |
78 |
79 |
|
8 a.m. |
81 |
72 |
|
9 a.m. |
84 |
65 |
|
10 a.m. |
88 |
55 |
|
11 a.m. |
91 |
50 |
|
12 p.m. |
93 |
47 |
|
1 p.m. |
94 |
44 |
|
2 p.m. |
96 |
40 |
|
3 p.m. |
96 |
42 |
|
4 p.m. |
96 |
40 |
|
5 p.m. |
97 |
40 |
|
6 p.m. |
96 |
39 |
|
7 p.m. |
95 |
40 |
|
8 p.m. |
92 |
47 |
|
9 p.m. |
89 |
46 |
|
10 p.m. |
86 |
57 |
|
11 p.m. |
84 |
61 |
Using a statistical package or a graphing calculator produce two scatterplots for the data, one for temperature and one for humidity, with time as the independent variable. You will need to enter the time as the number of hours since midnight. For example, 1 p.m. should be entered as 13. Fit a line and a quadratic to each scatterplot and discuss which equation best fits the data set. Describe what is happening to the temperature and the humidity as the time increases during the day. For the temperature scatterplot, what is the predicted maximum temperature and when does it occur? Is your answer reasonable? Explain. For the humidity, what is the predicted minimum humidity and when does it occur? Is your answer reasonable? Explain. Using the quadratic equations, predict the temperature and humidity for 3:30 p.m. and for 3:30 a.m. Discuss the reasonableness of your predictions.
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