Linear Functions and Modeling

Vocabulary

correlation

relationship between two variables

correlation coefficient

value between –1 and 1, inclusive, that indicates the strength and direction of the correlation of a line of best fit

extrapolation

predicting a data value outside the set of given data points

interpolation

predicting a data value between given data points

line of best fit

line that minimizes the sum of the squared distances to all points in a scatterplot

linear function

function whose graph is a line

linear regression

statistical method that calculates the line of best fit for a given set of data points

rise

vertical change between two points on a line

run

horizontal change between two points on a line

scatterplot

data display consisting of the graph of a set of ordered pairs

slope

ratio of the change in yy to the change in xx for two points on a line, represented as:
RiseRun\frac{\text{Rise}}{\text{Run}}

translation

transformation in which a graph is moved vertically or horizontally

y-intercept

value of yy where a graph touches or crosses the yy -axis