Question

I give medals! Help!!

I am given a set of points and have to find a polynomial model that best fits the data, then graph it:

time (t) height (h)
0 4.2
.5 26.1
1 40.1
1.5 46.0
2 43.9
2.5 33.7
3.0 15.8

Answer 1

Post the question

Answer 2

this is the furthest i got, i dont know how to use my calculator to find the polynomial function that is best fit

Answer 3

i thought it may have been linreg(ax+b) but then it gives me weird numbers that dont coincide with the graph?

Answer 4

i posted the picture ^ i have to find the polynomial that best fits the data:
time (t) height (h)
0 4.2
.5 26.1
1 40.1
1.5 46.0
2 43.9
2.5 33.7
3.0 15.8

Answer 5

@Lurker

Answer 6

oh wow :) you are ahead for your age

Answer 7

Are you interested in math?

Answer 8

im in a sped up algebra class. im not good with other stuff though lol

Answer 9

do u know how to do the problem?

Answer 10

Well I sort of do, but I am worried I will lose you if i go into details

Answer 11

sort of? i only get twinty minutes on the omputer

Answer 12

to find the answer

Answer 13

Okay lets start with this, first of all looks like a quadratic fit is best for this case right

Answer 14

Quadratic fit means parabola basically

Answer 15

as in x squared

Answer 16

that is correct

Answer 17

yeah, it its gonna be a negitive coeffishent

Answer 18

good

Answer 19

leading negitive

Answer 20

yes

Answer 21

so for now, u know it has to be in the form?
y=-ax^2+bx+c

Answer 22

Okay so, lets try to fin these coefficients!!

Answer 23

yes because the line of best fit is a parabla

Answer 24

Okay first thing to know about line of best fits is, the point of fitting is to minimize the distances from the points to the points of your parabola