Lines and Curves of Best Fit

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 general direction of the data points.

Front

What type of function is represented by a straight line?

Back

A linear function.

Front

How do you determine the slope of a line of best fit?

Back

The slope is calculated by taking the change in y (rise) over the change in x (run) between two points on the line.

Front

What does a positive slope indicate in a line of best fit?

Back

A positive slope indicates that as the x-values increase, the y-values also increase.

Front

What does a negative slope indicate in a line of best fit?

Back

A negative slope indicates that as the x-values increase, the y-values decrease.

Front

What is the purpose of using a curve of best fit?

Back

A curve of best fit is used to model relationships in data that are not linear, allowing for predictions based on the trend.

Front

What is linear regression?

Back

Linear regression is a statistical method used to find the line of best fit for a set of data points.

Front

What does the y-intercept represent in a linear equation?

Back

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

Front

How can you predict y values using a line of best fit?

Back

You can predict y values by substituting x values into the equation of the line of best fit.

Front

What is the equation of a linear function?

Back

The equation of a linear function is typically written in the form y = mx + b, where m is the slope and b is the y-intercept.