Math Modeling Task
Task-1 Data Collection
Math Modeling: The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences and engineering disciplines, as well as in non-physical systems such as the social sciences.
Step-1
Use the Internet or other relevant sources to collect the data
Example:
Average Age Vs Average Heights of Male or Female
Step-2
Enter your data like Points (x,y). x can be the first Variable. Two points are plotted for you ( You may edit them based on your data )
or you create lists
Type ---- listA= {x1, x2, x3,…… x10} x1, x2 are all x-values
Type------ listB= {y1,y2,y3,y4,…….y10} y1, y2, y3 are y-values
Type------ ( listA, listB) to see all the points as coordinates
Step-3
Use FitPoly( ) command in GeoGebra to get the Graph through the points.
Linear Curve: FitLine( list of pairs of Coordinates)
Polybomial: FitPoly({A,B,C,D,E},n)
n : degree of polynomial
if you are not sure what n should be, then
type FitPoly({A,B,C,D,E})
Now onwards: You may Answer the following questions on a paper as well. ( Choice is yours)
Question
Q1- Which type of function is best fit for your data plotted
Select all that apply
- A
- B
- C
- D
- E
Question
Q-2 Go to the GeoGebra applet and see what is your function, type here ( Use fx to type in math)
Question
Q-3 See if you need to control the function to make a perfect fit.
Select all that apply
- A
- B
Question
Q-3 See if you need to control the function to make a perfect fit.
Select all that apply
- A
- B
Question
Q-4 Use your best fit function and make a prediction for any value of x (which is not in your collected data). For example: if your x-values are from 4 to 15 then predict for x= 20 ( which is out of the domain) Please indicate both x and y values.
Question
Q-5 What do you think, your predicted value justifies your data or problem. Please explain