Data about the outside temperature and gas used for heating a building are given in the
table.
Use a graphing calculator to create the line of best fit for the data.
temperature
(deg F) z
58
62
64
67
70
73
gas usage
(therms) y
whole number.
5,686
y = -180 X +
7,373
5,805
5,636
3,782
3,976
temperature
(deg F) a
74
74
75
73
The actual gas usage is
65
59
gas usage
(therms) y
3,351
3,396
2,936
therms
3,078
4,549
7,022
What is the slope of the line of best fit? The slope is
temperature
(deg F) z
58
62
64
therms, which is
67
70
73
gas usage
(therms) y
What is the equation of the line of best fit for this data? Round numbers to the nearest
6,106
therms.
4,566
4,608
5,790
What does it mean in this situation? When the outside temperature increases 1 degree
Fahrenheit, gas usage is decreased by about
6,501
3,843
What does the line of best fit estimate for gas usage when the outside temperature is 59
degrees Fahrenheit?
How does the actual gas usage compare to the estimated gas usage when the outside
temperature is 59 degrees Fahrenheit?
therms more than estimated.