data was collected over multiple days about the number of visitors to a florida beach, y, and the outside…

data was collected over multiple days about the number of visitors to a florida beach, y, and the outside temperature, x, in degrees fahrenheit (f). the temperature over this period varied between 65°f and 95°f. after plotting the data on a scatter plot, the equation y = 7x - 287.19 was fit to the data to model the relationship. which of the following statements are true? select all that apply. the slope of the model means as the outside temperature increases by 1°f, the number of beach visitors increases by 7 people. the slope of the model means as the number of beach visitors increases by 1, the outside temperature increases by 7°f. the y - intercept is not viable because it falls outside the domain of the data. the y - intercept is viable because the outside temperature can be negative. the slope of the model means as the outside temperature increases by 1°f, the number of beach visitors decreases by 7 people.

data was collected over multiple days about the number of visitors to a florida beach, y, and the outside temperature, x, in degrees fahrenheit (f). the temperature over this period varied between 65°f and 95°f. after plotting the data on a scatter plot, the equation y = 7x - 287.19 was fit to the data to model the relationship. which of the following statements are true? select all that apply. the slope of the model means as the outside temperature increases by 1°f, the number of beach visitors increases by 7 people. the slope of the model means as the number of beach visitors increases by 1, the outside temperature increases by 7°f. the y - intercept is not viable because it falls outside the domain of the data. the y - intercept is viable because the outside temperature can be negative. the slope of the model means as the outside temperature increases by 1°f, the number of beach visitors decreases by 7 people.

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 $y = 7x-287.19$, the slope $m = 7$ and the y - intercept $b=-287.19$.

Step2: Interpret the slope

The slope $m = 7$ means that for every 1 - unit increase in $x$ (outside temperature), $y$ (number of beach visitors) increases by 7. So, as the outside temperature increases by $1^{\circ}F$, the number of beach visitors increases by 7 people.

Step3: Analyze the y - intercept

The domain of the temperature $x$ is between $65^{\circ}F$ and $95^{\circ}F$. The y - intercept occurs when $x = 0$. Since $0$ is outside the domain of the temperature data, the y - intercept is not viable.

Answer:

The slope of the model means as the outside temperature increases by $1^{\circ}F$, the number of beach visitors increases by 7 people; The $y$-intercept is not viable because it falls outside the domain of the data.