^{2}+ 51.45x + 78.52

^{x}

Time(seconds) .75 | 1.5 | 2 | 2.25 | 2.75 | 3.5

Height(feet) 108 | 119 | 116| 112 | 97 | 59

1. What type of function best models this data

linear exponential quadratic or other

2. Use a graphing calculator to perform a regression for the best fit equation. Write the resulting equation below, rounding to the nearest hundredth.

3. Calculate how many seconds it takes for the super hero to land on the ground (assume no flying powers used) show your work and round to the nearest hundredth

Tutors, sign in to answer this question.

linear regression: y = -17.77x + 139.59

Using this equation, let y = 0 which would be the number of feet at ground level: 0 = -17.77x + 139.59. Thus solving for x, he would hit the ground in 7.86 sec.

Quadratic regression: y = -16.29x^{2} + 51.45x + 78.52

This equation isn't feasible because his jump would take the shape of a parabola. If he was being shot out of a cannon, this equation would make more sense.

Exponential regression: y = 154.98(.81)^{x}

This equation isn't logical either since with a decreasing exponential equation, technically he would never hit the ground.

Do you know how to enter the data into a graphing calculator? If not, let me know.

Already have an account? Log in

By signing up, I agree to Wyzant’s terms of use and privacy policy.

Or

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Your Facebook email address is associated with a Wyzant tutor account. Please use a different email address to create a new student account.

Good news! It looks like you already have an account registered with the email address **you provided**.

It looks like this is your first time here. Welcome!

To present the tutors that are the best fit for you, we’ll need your ZIP code.

Please try again, our system had a problem processing your request.

## Comments