Summary: Modeling With Linear Functions

Key Concepts

• Scatter plots show the relationship between two sets of data.
• Scatter plots may represent linear or non-linear models.
• The line of best fit may be estimated or calculated using a calculator or statistical software.
• Interpolation can be used to predict values inside the domain and range of the data, whereas extrapolation can be used to predict values outside the domain and range of the data.
• The correlation coefficient, r, indicates the degree of linear relationship between data.
• A regression line best fits the data.
• The least squares regression line is found by minimizing the squares of the distances of points from a line passing through the data and may be used to make predictions regarding either of the variables.

Glossary

correlation coefficient

a value, r, between –1 and 1 that indicates the degree of linear correlation of variables or how closely a regression line fits a data set.

extrapolation

predicting a value outside the domain and range of the data

interpolation

predicting a value inside the domain and range of the data

least squares regression

a statistical technique for fitting a line to data in a way that minimizes the differences between the line and data values

model breakdown

when a model no longer applies after a certain point

Licenses & Attributions