Scatter plots- Lines of Best Fit

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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 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 general direction of the data points.

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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 a positive association in a scatter plot indicate?

Back

A positive association indicates that as one variable increases, the other variable also tends to increase.

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What does a negative association in a scatter plot indicate?

Back

A negative association indicates that as one variable increases, the other variable tends to decrease.

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What is an outlier in a scatter plot?

Back

An outlier is a data point that significantly differs from the other data points in the scatter plot, often lying far away from the line of best fit.

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How can you identify an outlier in a scatter plot?

Back

An outlier can be identified by looking for points that are distant from the cluster of other points in the scatter plot.

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What does it mean if data points are evenly distributed around the line of best fit?

Back

It means that the line of best fit accurately represents the relationship between the variables, with no significant bias in one direction.

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What is the purpose of using a trend line in a scatter plot?

Back

The purpose of a trend line is to summarize the relationship between the variables and to make predictions based on the data.

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What is the significance of the distance of data points from the trend line?

Back

The distance of data points from the trend line indicates the degree of variability in the data; closer points suggest a stronger relationship.