a scatterplot is used to display data where x is the amount of time, in minutes, one member can tolerate the…
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° 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.
Answer
Explanation:
Step1: Recall slope - intercept form
The equation of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. In the given equation $y=-1.5x + 173$, $m=-1.5$ and $b = 173$.
Step2: Analyze the y - intercept
When $x = 0$ (i.e., 0 minutes in the sauna), we substitute $x = 0$ into the equation $y=-1.5x + 173$. Then $y=173$. This means the member can tolerate a temperature of 173°F for 0 minutes.
Step3: Analyze the slope
The slope $m=-1.5=\frac{\Delta y}{\Delta x}$. Here, $x$ is time and $y$ is temperature. A negative slope means that as $x$ (time) increases, $y$ (temperature) decreases. Specifically, for every 1 - unit increase in $x$ (1 minute increase in time), $y$ (temperature) decreases by 1.5 degrees Fahrenheit.
Answer:
The member can tolerate a temperature of 173° Fahrenheit for 0 minutes.