Line of Best Fit

Front

What is the line of best fit?

Back

The line of best fit is a straight line that best represents the data on a scatter plot. It is used to predict values and understand the relationship between two variables.

Front

What does a positive correlation indicate?

Back

A positive correlation indicates that as one variable increases, the other variable also increases.

Front

What does a negative correlation indicate?

Back

A negative correlation indicates that as one variable increases, the other variable decreases.

Front

What is an outlier in a data set?

Back

An outlier is a data point that differs significantly from other observations. It may indicate variability in the measurement or may suggest experimental error.

Front

How do you determine the equation of the line of best fit?

Back

The equation of the line of best fit can be determined using statistical methods such as linear regression, which calculates the slope and y-intercept based on the data points.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).

Front

What is the y-intercept of a line?

Back

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

Front

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

Back

Front

What does it mean if a line of best fit is a good estimate for the data?

Back

A good estimate means that the line closely follows the trend of the data points, minimizing the distance between the line and the points.

Front

How can you visually assess the accuracy of a line of best fit?

Back

You can visually assess the accuracy by observing how closely the data points cluster around the line. A good fit will have points evenly distributed around the line.