Scatter Plots, Correlation, & Line of Best Fit

Front

What is a scatter plot?

Back

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

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What does correlation mean in statistics?

Back

Correlation refers to a statistical measure that describes the extent to which two variables change together. It can be positive, negative, or zero.

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What is a strong positive correlation?

Back

A strong positive correlation means that as one variable increases, the other variable also increases significantly.

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What is a weak negative correlation?

Back

A weak negative correlation indicates that as one variable increases, the other variable tends to decrease, but the relationship is not strong.

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, showing the trend of the data points.

Front

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

Back

The slope of a line of best fit is determined by calculating the change in the y-values divided by the change in the x-values between two points on the line.

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What does an r-value of 0 indicate?

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An r-value of 0 indicates no correlation between the two variables, meaning changes in one variable do not affect the other.

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What does a strong negative correlation look like on a scatter plot?

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A strong negative correlation on a scatter plot appears as a downward slope, where as one variable increases, the other variable decreases significantly.

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How can you use a scatter plot to make predictions?

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You can use a scatter plot to make predictions by identifying the trend line and estimating values based on the relationship shown in the plot.

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What is the significance of outliers in a scatter plot?

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Outliers are data points that differ significantly from other observations. They can affect the correlation and the line of best fit.