Question

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. ...?

Answer 1

slope = growth during 1 year y-intercept = their original height i.e. the height when they were born

Answer 2

Answer with explanation:

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