the following equation can be used to predict the average height of boys anywhere b/w birth and 15 years old: y=2.79x+25.64, where x is the age(in yrs) and y is the height (in inches). what does the slope represent? interpret the slope in the cintext of the problem. What does the y-intercept represent in this problem? intercept the y-intercept in the context of the problem. ...?
slope = growth during 1 year
y-intercept = their original height i.e. the height when they were born
The standard linear equation is given by :-
\(y=mx+c\), where m is the slope and c is the y-intercept.
Given equation to predict the average height of boys anywhere b/w birth and 15 years old:
\(y=2.79x+25.64\), where x is the age(in yrs) and y is the height (in inches).
By comparing this equation to the standard linear equation, we have
Slope = 2.79 and y-intercept = 25.64
The slope tells that the rate of change of average height of boys with respect to age is 2.79 .
The y-intercept tells that the initial average height of boys =25.64 inches