Scatterplots Correlation

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What is a scatterplot?

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A scatterplot 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 the context of scatterplots?

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Correlation refers to the relationship between two variables and how they change together. It can be positive, negative, or none.

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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. For example, as the temperature increases, the number of ice cream sales may also increase.

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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. For example, as the number of miles driven increases, the amount of gas remaining in the tank decreases.

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What does no correlation mean?

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No correlation means there is no discernible relationship between two variables. Changes in one variable do not predict changes in the other.

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How can you identify a positive correlation on a scatterplot?

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A positive correlation is identified on a scatterplot when the points trend upwards from left to right.

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How can you identify a negative correlation on a scatterplot?

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A negative correlation is identified on a scatterplot when the points trend downwards from left to right.

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What is the purpose of using scatterplots?

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Scatterplots are used to visually represent the relationship between two quantitative variables, helping to identify trends, correlations, and outliers.

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What is an example of a situation with positive correlation?

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An example of positive correlation is the relationship between study time and test scores; generally, more study time leads to higher test scores.

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What is an example of a situation with negative correlation?

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An example of negative correlation is the relationship between the amount of gas in a tank and the distance driven; as distance increases, gas decreases.