Scatter Plots and Correlation

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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 correlation mean in statistics?

Back

Correlation refers to a statistical relationship between two variables, indicating how one variable may change in relation to another.

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What is positive correlation?

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Positive correlation occurs when an increase in one variable leads to an increase in another variable.

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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.

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What does a slope represent in a graph?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

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How do you calculate the slope of a line?

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The slope (m) is calculated as the change in y (rise) divided by the change in x (run): m = (y2 - y1) / (x2 - x1).

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What is the meaning of a slope of 0?

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A slope of 0 indicates that there is no change in the dependent variable as the independent variable changes; the line is horizontal.

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What does it mean if there is no correlation between two variables?

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No correlation means that there is no discernible relationship between the changes in the two variables.

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What is an example of positive correlation?

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An example of positive correlation is the relationship between hours studied and test scores; generally, as study hours increase, test scores also increase.

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What is an example of negative correlation?

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An example of negative correlation is the relationship between temperature and the amount of hot chocolate sold; as temperature increases, hot chocolate sales typically decrease.