D14 Line of Best Fit Rev Flashcardizz

Front

What is a line of best fit?

Back

A line of best fit is a straight line that best represents the data on a scatter plot. It shows the trend of the data points.

Front

What does the slope of a line represent in a linear equation?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a unit change in x.

Front

What is the y-intercept in a linear equation?

Back

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

Front

How do you determine if a line is a good estimate of best fit?

Back

A line is a good estimate of best fit if it minimizes the distance between itself and all the data points, often measured by the least squares method.

Front

What is the equation of a line in slope-intercept form?

Back

Front

What does a negative slope indicate about a linear relationship?

Back

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

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. Each point represents an observation.

Front

How can you identify a linear relationship in a scatter plot?

Back

A linear relationship can be identified if the data points form a pattern that can be approximated by a straight line.

Front

What is the purpose of linear regression?

Back

The purpose of linear regression is to find the best-fitting line through a set of data points to predict the value of one variable based on another.

Front

What does it mean if a line of best fit has a slope of 0?

Back

If a line of best fit has a slope of 0, it means that there is no relationship between the independent and dependent variables; the dependent variable remains constant.