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?

Answer 1

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?

(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) he time decreased 1.5 minutes for every degree Fahrenheit the temperature decreased.

Answer:

Option A: The member can tolerate a temperature of 173° Fahrenheit for 0 minutes

Explanation:

Given that the equation of the line of best fit is given by $y=-1.5 x+173$

Let x represents the amount of time in minutes.

Let y represents the temperature in degrees Fahrenheit.

From the equation of line of best fit, it is obvious that the temperature that a person can tolerate is 173 degrees Fahrenheit at 0 minutes.

Because the y - intercept $b=173$ represents the temperature when the x - value is zero.

Thus, the member can tolerate a temperature of 173° Fahrenheit for 0 minutes.

Therefore, Option A is the correct answer.

Learn more:

(1) Which equation represents the line of best fit?  

A. y = 10x + 45   (B). y = x + 45   (C). y = −10x+ 45   (D). y = 45x + 10

brainly.in/question/15869037

(2) A line of best-fit for a given set of data can be represented by the equation y = 2x + 10. What would be the best prediction for the value of y when x is 25?

A. 60    B. 50    C. 40   D. 35

brainly.in/question/15673284