Question

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?

• the member can tolerate a temperature of \\(173^\circ\\) fahrenheit for 0 minutes.
• the amount of time the member can tolerate the heat in a sauna is 173 minutes.
• the time increased 1.5 minutes for every degree fahrenheit the temperature increased.
• the time decreased 1.5 minutes for every degree fahrenheit the temperature decreased.

Explanation:

Identify variables and model parameters

$$
LATEXBLOCK0
$$

Interpret the y-intercept

$$
LATEXBLOCK1
$$

Match with given options

$$
LATEXBLOCK2
$$

Answer:

• (A) The member can tolerate a temperature of 173° Fahrenheit for 0 minutes. (Correct answer)
• (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.