# 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 $y$ to the change in $x$ for two points on a line, represented as:
$\frac{\text{Rise}}{\text{Run}}$

### translation

transformation in which a graph is moved vertically or horizontally

### y-intercept

value of $y$ where a graph touches or crosses the $y$ -axis