Glencoe Algebra 1 Chapter 4 Vocabulary

Questions and Answers

What is a best-fit line?

The line that most closely approximates the data in a scatter plot.

What is bivariate data?

Data with two variables.

What is a constant function?

A linear function of the form y = b (horizontal line).

What is an identity function?

The function y = x. Signup and view all the answers

What is an inverse function?

A function that is the inverse relation of a given function. Signup and view all the answers

What is an inverse relation?

The set of ordered pairs obtained by exchanging the x-coordinate with the y-coordinate of each ordered pair in a relation. Signup and view all the answers

What is linear extrapolation?

The use of a linear equation to predict values that are outside the range of data. Signup and view all the answers

What is linear interpolation?

The use of a linear equation to predict values that are inside of the data range. Signup and view all the answers

What is linear regression?

An algorithm to find a precise line of fit for a set of data. Signup and view all the answers

What is a line of fit?

A line that describes the trend of the data in a scatter plot. Signup and view all the answers

What is a median-fit line?

A type of best-fit line that is calculated using the medians of the coordinates of the data points. Signup and view all the answers

What are parallel lines?

Lines in the same plane that do not intersect and either have the same slope or are vertical lines. Signup and view all the answers

What are perpendicular lines?

Lines that intersect to form a right angle. Signup and view all the answers

What is point-slope form?

An equation of the form y - y1 = m(x - x1), where m is the slope and (x1,y1) is a given point on a nonvertical line. Signup and view all the answers

What is a scatter plot?

A scatter plot shows the relationship between a set of data with two variables, graphed as ordered pairs on a coordinate plane. Signup and view all the answers

What is slope-intercept form?

An equation of the form y = mx + b, where m is the slope and b is the y-intercept. Signup and view all the answers

What is a constraint?

A condition that a solution must satisfy. Signup and view all the answers

What is the correlation coefficient?

A value that shows how close data points are to a line. Signup and view all the answers

Study Notes

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.

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Test your knowledge of key vocabulary from Chapter 4 of Glencoe Algebra 1. This quiz includes terms such as 'best-fit line' and 'bivariate data', helping students understand essential concepts in algebra. Perfect for building a strong vocabulary foundation in algebraic principles.