Equation of Line of Best Fit (Scatter Plots)

Front

What is the equation of a line of best fit?

Back

The equation of a line of best fit is a linear equation that best represents the data points in a scatter plot, minimizing the distance between the points and the line.

Front

What does the slope of a line represent in a scatter plot?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). A positive slope indicates a direct relationship, while a negative slope indicates an inverse relationship.

Front

What does the y-intercept represent in the equation of a line?

Back

The y-intercept is the value of y when x is 0. It represents the point where the line crosses the y-axis.

Front

How do you determine the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is a scatter plot?

Back

A scatter plot is a graph that displays values for typically two variables for a set of data, using Cartesian coordinates to show the relationship between them.

Front

What does a positive slope indicate in a scatter plot?

Back

A positive slope indicates that as the independent variable (x) increases, the dependent variable (y) also increases.

Front

What does a negative slope indicate in a scatter plot?

Back

A negative slope indicates that as the independent variable (x) increases, the dependent variable (y) decreases.

Front

What is the purpose of the line of best fit?

Back

The purpose of the line of best fit is to provide a visual representation of the trend in the data, allowing for predictions and analysis of relationships between variables.

Front

How can you identify the line of best fit on a scatter plot?

Back

The line of best fit can be identified as the line that best represents the data points, minimizing the distance from all points to the line.

Front

What is the formula for a linear equation?

Back

The formula for a linear equation is typically written as y = mx + b, where m is the slope and b is the y-intercept.