AP Precalculus: Unit 2A; 2.6 Competing Function Model Validation

These flashcards cover key concepts related to exponential and logarithmic functions, focusing on model construction and validation in data analysis.

Competing Function Model Validation

A process to determine which mathematical model (linear, quadratic, exponential) best represents a given data set.

Exponential Model

A mathematical representation where one variable changes at a constant percentage rate relative to another variable; change multiplies rather than adds. Growth or Decay accelerates.

Residual Plot

Graph that helps you judge whether a model (linear, quadratic, exponential) is a good fit for a set of data.

Error in the Model

Predicted values minus actual values in data analysis.

Model Validation

The process of confirming that a constructed model accurately reflects the data set it is based on.

Linear Function Model

A model that displays a constant rate of change between two variables (same amount each time).

Quadratic Function Model

A model that represents a relationship where the rate is changing at a constant rate.

Data Set

A collection of related data points used for analysis or modeling.

Underestimate / Overestimate

The concepts referring to the prediction being lower/higher than the actual value within a specific interval.

Regression Lines

Lines or Curves that fit a set of data.

Residual Value

Actual measured data point minus predicted value

Good regression model

Residual plot shows no clear pattern

Bad regression model

Residual plot shows some type of pattern such as a curve or a wave.