Scatter Plots

A scatter plot is a graph that shows the relationship between two quantitative variables by displaying data points on a two-dimensional axis.

Correlation refers to the degree to which two variables move in relation to each other. It can be positive, negative, or no correlation.

A trend line is a straight line that best represents the data on a scatter plot, showing the general direction of the data points.

You can determine correlation by observing the pattern of the data points: if they cluster around a line, there is correlation; if they are scattered randomly, there is no correlation.

A positive correlation appears as an upward slope, where as one variable increases, the other variable also increases.

A negative correlation appears as a downward slope, where as one variable increases, the other variable decreases.

The line of best fit is a straight line that best represents the data in a scatter plot, minimizing the distance between the line and all data points.

The slope is calculated by taking the difference in the y-values divided by the difference in the x-values between two points on the line.

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

No correlation means that there is no predictable relationship between the two variables; changes in one variable do not affect the other.