Glencoe Algebra 1 Chapter 4 Vocabulary

Vocabulary: Key Terms and Definitions

• Best-fit line: Represents the closest approximation of the data in a scatter plot, showcasing the overall trend.

• Bivariate data: Involves two variables, allowing for analysis of their relationship and interaction.

• Constant function: Defined as a linear function of the form y = b; depicted graphically as a horizontal line.

• Identity function: The function represented by y = x, where output equals input.

• Inverse function: Represents the inverse relation of a given function, essentially reversing the roles of input and output.

• Inverse relation: Comprises ordered pairs retrieved by swapping the x and y coordinates of each point in a relation.

• Linear extrapolation: The process of projecting values beyond the established data range using a linear equation.

• Linear interpolation: A technique used to estimate values within the existing data range through a linear model.

• Linear regression: An analytical method that determines the precise line of fit for a dataset, often used for predictive modeling.

• Line of fit: A graphical representation illustrating the trend of data points in a scatter plot.

• Median-fit line: A variant of the best-fit line computed by employing the medians of the data point coordinates.

• Parallel lines: Lines within the same plane that do not meet, characterized by identical slopes or being vertical.

• Perpendicular lines: Lines that intersect at right angles, indicating a specific geometric relationship.

• Point-slope form: An equation expressed as y - y1 = m(x - x1), which describes a line with slope m through a given point (x1, y1).

• Scatter plot: A graphical depiction that illustrates the connection between two variables by plotting ordered pairs on a coordinate plane.

• Slope-intercept form: An equation structured as y = mx + b, where m indicates the slope and b denotes the y-intercept.

• Constraint: A specific condition or restriction that must be fulfilled by a solution in a mathematical context.

• Correlation coefficient: A numerical value that quantifies the degree of closeness between data points and their corresponding line on a graph.