Scatterplots & Trends

Front

What is a scatterplot?

Back

A scatterplot 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 a positive correlation indicate in a scatterplot?

Back

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

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What does a negative correlation indicate in a scatterplot?

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A negative correlation indicates that as one variable increases, the other variable decreases.

Front

What does 'no correlation' mean in the context of scatterplots?

Back

No correlation means there is no discernible relationship between the two variables; changes in one do not affect the other.

Front

What is a line of best fit?

Back

A line of best fit is a straight line that best represents the data on a scatterplot, showing the general direction of the data points.

Front

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

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By observing the direction of the data points: if they trend upwards, it's positive; if downwards, it's negative; if scattered, it may indicate no correlation.

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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; generally, more study time leads to higher scores.

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What is an example of a negative correlation?

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An example of a negative correlation is the relationship between the amount of time spent on social media and academic performance; more time on social media may lead to lower grades.

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What does a nonlinear scatterplot indicate?

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A nonlinear scatterplot indicates that the relationship between the variables is not a straight line, suggesting a more complex relationship.

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How can you predict values using a scatterplot?

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You can predict values by using the line of best fit to estimate the outcome for a given input based on the observed data.