Line 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

How do you determine if a line is an accurate line of best fit?

Back

A line is an accurate line of best fit if it minimizes the distance between itself and all the data points, ideally passing through the center of the data distribution.

Front

What is the slope in the equation of a line?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables. A positive slope means a positive relationship, while a negative slope indicates a negative relationship.

Front

What is the y-intercept in the equation of a line?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.

Front

Write the equation of a line in slope-intercept form given a slope of 1/2 and a y-intercept of 1.

Back

Front

What does the equation of a line of best fit represent in a real-world context?

Back

It represents the predicted relationship between two variables based on the data collected.

Front

How can you calculate the line of best fit using a table of values?

Back

You can use statistical methods such as linear regression to calculate the line of best fit from a table of values.

Front

What is the formula for the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal, meaning there is no change in y as x changes.

Front

What does a negative slope indicate about the relationship between two variables?

Back

A negative slope indicates an inverse relationship, meaning as one variable increases, the other decreases.