Scatterplots & Trend Lines

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What is a scatterplot?

Back

A scatterplot is a type of graph that shows the relationship between two numerical variables by displaying data points on a two-dimensional grid.

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What does a trend line represent in a scatterplot?

Back

A trend line is a straight line that best represents the data points in a scatterplot, indicating the general direction of the relationship between the variables.

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How can you use a trend line to make predictions?

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You can use a trend line to predict values by finding the corresponding value on the trend line for a given input value.

Front

What is positive correlation in a scatterplot?

Back

Positive correlation occurs when an increase in one variable leads to an increase in the other variable, resulting in an upward slope on the scatterplot.

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What is negative correlation in a scatterplot?

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Negative correlation occurs when an increase in one variable leads to a decrease in the other variable, resulting in a downward slope on the scatterplot.

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What does 'no correlation' mean in a scatterplot?

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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 pattern.

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What is the purpose of analyzing scatterplots?

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Analyzing scatterplots helps to identify relationships, trends, and patterns between two variables, which can inform predictions and decisions.

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How do you determine the type of correlation from a scatterplot?

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You determine the type of correlation by observing the direction of the trend line: upward for positive, downward for negative, and scattered for no correlation.

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What is an example of a positive correlation?

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An example of positive correlation is the relationship between study time and test scores; as study time increases, test scores tend to increase.

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What is an example of a negative correlation?

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An example of negative correlation is the relationship between the amount of time spent watching TV and grades; as TV time increases, grades tend to decrease.