1. LEQ: WHAT IS THE PROCESS USED TO FIT AN APPROPRIATE MODEL TO DATA? Fitting a Model to Data Sec. 2-7 & 2-8

2. Getting Started Modeling WS

3. Steps to fit a model to data:  Identify the type of variation displayed.  Consider all forms we have discussed  Using an exact point from the function, find the constant of variation.  Don’t use (0, 0)  Substitute the constant of variation into the general form of the equation.  Develop a table of values using the equation you wrote.  If the table matches the original function, the equation you wrote models the data  If the table doesn’t match the original function, the equation you wrote does not model the data and you try another form of the variation.

4. For example Practice WS #4

5. The Converse of the Fundamental Theorem of Variation a. If multiplying every x-value of a function by c results in multiplying the corresponding y-value by c n, then y varies directly as the nth power of x.  y = kx n b. If multiplying every x-value of a function by c results in dividing the corresponding y-value by c n, then y varies inversely as the nth power of x.  y = k/x n

6. Modeling on the graphing calculator Enter data into the calculator  STAT  EDIT  EDIT  Enter independent values in L 1 and dependent values in L 2 Perform regression  STAT  CALC  LinReg (direct variation with a power of one)  PwrReg (direct variation with a power of two and inverse variation)

7. For example Practice WS #5

8. Homework Pgs. 119-121 #1-13, 15, 17-22