Question

The equation of the line of best fit is F=1.5h -4.3, where F is foot length in millimeters and h is height in centimeters. Explain the meaning of the slope and the Y-intercept of this equation in the context of the data

Answer 1

Slope, m = 1.5

y-intercept, c = -4.3

Explanation:

We are given the following equation in the question:

`F=1.5h -4.3`

where F is foot length in millimeters and h is height in centimeters.

Comparing equation to a general linear equation:

`y = mx + c`

where m is the slope and c is the y - intercept.

Slope, m = 1.5

y-intercept, c = -4.3

Interpretation of slope:

Slope tells us about the rate change. So, when the there is a unit increase in height the foot length changes by 4.3 foot.

Interpretation of y-intercept:

y-intercept is the value of F when height,h is zero that is

`F(0)=1.5(0) -4.3 = -4.3`