Question

the linear regression equation for a data set is y=-2.8x+70.8 where y is the temperature in degrees fahrenheit and x is the number of hours since 8am.what does the slope of the equation represent?

Answer 1

Step-by-step explanation:

We have been given the linear regression equation for a data set is y=-2.8x+70.8 where y is the temperature in degrees Fahrenheit and x is the number of hours since 8 am.

We can see that our given line is in slope-intercept form: $y=mx+b$, where, m = Slope of line and b = y-intercept.  

Upon comparing our given equation with slope intercept form we can see that the slope of the equation (m) is -2.8. The slope represents that temperature is dropping at a rate of 2.8 Fahrenheit per hour after 8 am.