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 is equal to negative 1 point 5 x plus 173 for the data?
Answer
A
The amount of time the member can tolerate the heat in a sauna is 173 minutes.
B
The time decreased 1.5 minutes for every degree Fahrenheit the temperature decreased.
C
The time increased 1.5 minutes for every degree Fahrenheit the temperature increased.
D
The member can tolerate a temperature of 173 degrees Fahrenheit for 0 minutes.
Explanation
In y = −1.5x + 173, the y-intercept is 173, which is the predicted sauna temperature when x = 0 minutes. So the interpretation is that the member can tolerate a temperature of 173 degrees Fahrenheit for 0 minutes. The slope describes how temperature changes as time changes, not the amount of time per degree.
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