A scatterplot is used to display data where x is the amount of time, in minutes, one member can tolerate the heat in a sauna, and y is the temperature, in degrees Fahrenheit, of the sauna. Which interpretation describes a line of best fit of y = –1.5x + 173 for the data?
Answer
A
The member can tolerate a temperature of 173° Fahrenheit for 0 minutes.
B
The amount of time the member can tolerate the heat in a sauna is 173 minutes.
C
The time increased 1.5 minutes for every degree Fahrenheit the temperature increased.
D
The time decreased 1.5 minutes for every degree Fahrenheit the temperature decreased.
Explanation
In y = –1.5x + 173, y is the sauna temperature and x is the time. When x = 0 minutes, the equation gives y = 173°F, so the y-intercept means the member can tolerate a temperature of 173°F for 0 minutes. The slope describes a decrease of 1.5°F per additional minute, not a change of 1.5 minutes per degree.
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