Scatter Plots and Line 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 does the line of best fit represent in a scatter plot?

Back

The line of best fit represents the trend of the data points in a scatter plot, indicating the general direction of the relationship between the variables.

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What is positive correlation?

Back

Positive correlation occurs when an increase in one variable leads to an increase in another variable, resulting in a rising trend in the scatter plot.

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What is negative correlation?

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Negative correlation occurs when an increase in one variable leads to a decrease in another variable, resulting in a falling trend in the scatter plot.

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What does no correlation mean?

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No correlation means there is no discernible relationship between the two variables, and the data points do not show any clear trend.

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How can you identify a negative correlation in a scatter plot?

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A negative correlation is identified when the data points slope downwards from left to right, indicating that as one variable increases, the other decreases.

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How can you identify a positive correlation in a scatter plot?

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A positive correlation is identified when the data points slope upwards from left to right, indicating that as one variable increases, the other also increases.

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What is the purpose of the line of best fit?

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

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What does it mean if a scatter plot has no correlation?

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If a scatter plot has no correlation, it means that changes in one variable do not affect the other variable, and the data points are scattered randomly.

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What is an example of a positive correlation?

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An example of a positive correlation is the relationship between hours studied and test scores, where more study time typically leads to higher scores.