1 / 12

AP Statistics

AP Statistics. 4.1 Modeling Nonlinear Data. Learning Objective. Create scatter plots of non linear data Transform nonlinear data to use for prediction Create residual plots. Exponential Function: Power function:. Exponential Growth. To show exponential growth:

lara-simon
Télécharger la présentation

AP Statistics

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. AP Statistics 4.1 Modeling Nonlinear Data

  2. Learning Objective • Create scatter plots of non linear data • Transform nonlinear data to use for prediction • Create residual plots

  3. Exponential Function: • Power function:

  4. Exponential Growth • To show exponential growth: • We look for a common ratio

  5. Compare Linear versus Exponential Growth • Exponential- increases by a ratio • Linear- increases by a constant (slope)

  6. Algebraic Properties of Logarithms • ** • The rules for logarithms are • #1) log (AB)= log A + log B • #2) log(A/B)= log A - log B • #3) log x^p = p log x

  7. How do we make predictions in the exponential growth model? • Linearize our data (take log y) • If a variable grows exponentially, its logarithm grows linearally. • How do we transform our data back to make predictions?

  8. Power Law Models • When does a power law become linear? How? • Take the log x and log y • How do we make prediction in power law models?

  9. Linear • Plot graph: L₁, L₂ • Plot residuals: L₁, L₃ • stat/calc/8/L₁,L₂,Y₁ ỳ=a+bx

  10. Exponential • Plot graph: L₁, L₃ • stat/calc/8/L₁,L₃,Y₁ • Plot residuals: L₁, L₄

  11. To predict: type in calc (10^(Y₁(x)) • To write out your new equation:

  12. Power • Plot graph: L₃, L₄ • Stat/calc/8: L₃, L₄, Y₁ • Plot Residuals: L₃, L₅

More Related