Temperature/Mowing Time/Water
Consumption Example
Assume that during a three-hour period spent outside, a person
recorded the temperature, the
amount of time they mowed the grass,
and their water
consumption. The experiment was
conducted on 7 randomly selected days during the summer. The data is shown
in the table below with the temperature placed in increasing order.
| Data | Corresponding Regression Plot |
||
| Temperature (F) | Water Consumption (ounces) | Time mowing the grass (hours) |
 |
75 |
16 |
1.85 | |
83 |
20 |
1.25 | |
85 |
25 |
1.5 | |
85 |
27 |
1.75 | |
92 |
32 |
1.15 | |
97 |
48 |
1.75 | |
99 |
48 |
1.6 | |
Beside the data, there is a graph of the information with time mowing on the x-axis, temperature on the y-axis, and water consumption on the z-axis.
The multiple regression equation using the method of least squares is shown below.
Water = - 122 + 1.51*Temperature + 12.5*Mowing Time
This equation can be used for prediction of the amount of water a person would drink for a given temperature and a given amount of mowing that they would be doing.
Learn the Procedure for calculating multiple regression
descriptive measures
.
