Question

Suppose that you are asked to find a quadratic regression to model the height of a ball above the ground after it has been thrown. Based on the context of the problem, what would the x- and y- intercepts represent?

Answer 1

Given yo = initial height the ball was thrown from.
Given vo = the initial velocity of the ball thrown

y = yo + (vo)t -16t^2 where t = time.

This is a parabola opening downward.

There is no y intercept as the ball is thrown upwards upwards not necessarily straight vertically.

The x-intercepts occur when the ball reaches the level the ball was thrown from or the ground.