page+55


 * Aim:** How do we determine from a scatter plot whether a linear, logarithmic, exponential, or power regression model is most appropriate?

By the end of the lesson, you will be able to... 1. construct a scatter plot from a set of data 2. use the graphing calculator to to write the regression equation

These videos will show yo how to enter data into your graphing calculator to determine non-linear regressions. The ones we will be working with are logarithmic regression, exponential regression, and the power regression. The form for each is:

Logarithmic: y = a*b ln x (We use the natural log for these) Exponential: y = a*b^x Power: y=a*x^b

You will be given data to enter into the graphing calculator. Look at r and r^2 on the calculator screen. The r value that is the closest to 1 is the function you choose.
 * (These videos are good examples of what you are expected to do on the Regents)**
 * You can enter the equation by hand if you don't want to memorize more steps to get the data into the y= space**
 * Video 1 - this is from James. This is about exponential regression**

media type="youtube" key="TkMQ5n6vWGg" width="425" height="350"

media type="youtube" key="gxyj66CVoJ0" width="425" height="350"
 * Video 2: Part 2 from James (This video is a good example of what you are expected to do on the Regents)**


 * Video 3: This is also from James. This video shows a logarithmic regression**

media type="youtube" key="YCRgsUSotEY" width="425" height="350"


 * Classwork:** Solve the following two problems. Use your graphing calculators to help you. In order to determine which regression is the best, try all 4 of them. The one with the data where r is closet to +1 or -1 is the one to choose

[|CW_Nonlin_Regress.JPG]


 * Homework:** Answer all questions. Use your graphing calculator.

[|Non_Lin_Reg.JPG]

[|Non_Lin_Reg_2.JPG]


 * Answers:**

[|A-NonLinReg.JPG]

[|A-NonLinReg2.JPG]


 * Journal entry:** How does a scatter plot help you determine which regression function to use?