what does H(T)= algebra problem

Question

T H(t)

0.5 78.725

1 89

1.5 96.825

2 102.2

2.5 105.125

3 105.6

A) Using your calculator to do a quadratic regression, express the height of the object as a function of the number of seconds that have passed since the object was thrown.Round all numbers to 1 decimal point

h(t)=

Answer 1

I'm using a TI-83 for this.

To input the data:

STAT --> EDIT --> 2: Edit...

You'll be able to edit two empty lists. I pick L1 and L2.

Type the t data into L1 and the H(t) data into L2.

Press 2nd --> MODE to access the Quit feature to get back to the home screen.

To perform the quadratic regression:

STAT ---> CALC ---> 5: QuadReg

This option prints the phrase "QuadReg" to the home screen, followed by a blinking cursor.

Since your data is in L1 and L2, access these lists. Press 2nd --> 1 to get L1, then press the button with a comma ( , ) , then press 2nd ---> 2 to get L2, then press the button with a comma ( , ). Now you need to get a variable that will hold the regression values. Go to VARS ---> Y-VARS ---> 1: Function ---> 1: Y1. Pressing Enter will write Y1 to the screen as the last parameter of QuadReg. Now press Enter to perform the regression.

This is the output:

y = ax^2 + bx + c

a = -4.9

b = 27.9

c = 66

R^2 = 1

The generic variable for response/dependent variable is y. Here, it's called h(t), the height as a function of time.

The quadratic regression model is h(t) = -4.9x^2 + 27.9x + 66.

I hope this helps!

Answer 2

This can be done entirely in your calculator

Here is a link to a video to show you how to do it

https://www.youtube.com/watch?v=4bevqJ54uvc

Here are the steps written out

click STAT

select EDIT

type in all your times in the L1 column

type your heights in the L2 column

click 2ND

click Y=,

click ENTER and then Enter again to turn "On" Plot1

click STAT, scroll to CALC, click 5

click ENTER until a quadratic equation pops up with values for a, b, and c

You just plug those values into the quadratic and that is your H(t) function.

Hope this helped. If you have anymore questions please feel free to reach out :)