Scatter Plots Correlation Coefficient

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What is a scatter plot?

Back

A scatter plot is a graph that displays values for typically two variables for a set of data. Each point represents an observation in the dataset.

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What does a positive correlation indicate in a scatter plot?

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

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What does a negative correlation indicate in a scatter plot?

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

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What is the correlation coefficient?

Back

The correlation coefficient (r) is a numerical measure of the strength and direction of a linear relationship between two variables, ranging from -1 to 1.

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What does a correlation coefficient of 1 mean?

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A correlation coefficient of 1 indicates a perfect positive linear relationship between two variables.

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What does a correlation coefficient of -1 mean?

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A correlation coefficient of -1 indicates a perfect negative linear relationship between two variables.

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What does a correlation coefficient of 0 mean?

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A correlation coefficient of 0 indicates no linear relationship between the two variables.

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How can you estimate the correlation coefficient from a scatter plot?

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You can estimate the correlation coefficient by observing the direction and tightness of the points around a trend line; closer points indicate a stronger correlation.

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What is a trend line in a scatter plot?

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

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How do you interpret a scatter plot with no correlation?

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A scatter plot with no correlation shows points that are randomly scattered, indicating no predictable relationship between the variables.