Question 153166: I HAVE BEEN GIVEN A TABLE WHICH SHOWS THE MEDIAN "B.M.I" (BODY MASS INDEX) FOR FEMALES OF DIFFERENT AGES IN THE U.S IN THE YEAR 2000 . THE QUESTION IS USE TECHNOLOGY TO PLOT THE DATA POINTS ON A GRAPH?? . DEFINE ALL VARIABLES USED AND STATE ANY PARAMETERS CLEARLY??what type of function ,models the behavior of the graph? explain why one chose this function? ( very imporant!! - reason for using this function , parametres and variables )
AGE B.M.I
2 16.40
3 15.70
4 15.30
5 15.20
6 15.21
7 15.40
8 15.80
9 16.30
10 16.80
11 17.50
12 18.18
13 18.70
14 19.36
15 19.88
16 20.40
17 20.85
18 21.22
19 21.60
20 21.65
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! I entered the data in a TI-83.
I ran the LinReg, QuadReg, CubReg, QuartReg programs against the data.
Best fit is with the cubic and quartic regressions.
With both the R^2 values are 0.999... indicating a close fit.
Visually both track the data very well.
The cubic is y = -0.004075x^3+0.153565x^2-1.275736x+18.272879
The quartic is y = 9.7x10^-5x^4 - 0.008354x^3 + 0.21674x^2 -1.63x+18.863421
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Cheers,
Stan H.
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