Line of best fit - scatter plots

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, showing the trend of the data points.

Front

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

Back

You can determine the equation by using statistical methods such as linear regression or by visually estimating the line that minimizes the distance to all points.

Front

What does the slope of a line of best fit represent?

Back

The slope indicates the rate of change between the dependent variable (y) and the independent variable (x). A positive slope means y increases as x increases, while a negative slope means y decreases as x increases.

Front

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

Back

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

Front

What is an outlier in a scatter plot?

Back

An outlier is a data point that significantly differs from other observations, often lying far away from the trend of the data.

Front

How can you identify an outlier in a scatter plot?

Back

An outlier can be identified visually as a point that is distant from the cluster of other points or statistically using methods like the IQR (Interquartile Range) method.

Front

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

Back

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

Front

What does a positive slope indicate about the relationship between x and y?

Back

A positive slope indicates a direct relationship, meaning as x increases, y also increases.

Front

What does a negative slope indicate about the relationship between x and y?

Back

A negative slope indicates an inverse relationship, meaning as x increases, y decreases.

Front

What is the general form of the equation of a line?

Back

The general form is y = mx + b, where m is the slope and b is the y-intercept.