Correlation Practice

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What is correlation?

Back

Correlation is a statistical measure that describes the extent to which two variables change together. A positive correlation means that as one variable increases, the other also increases, while a negative correlation means that as one variable increases, the other decreases.

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What does a positive correlation indicate?

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A positive correlation indicates that two variables move in the same direction. For example, as temperature increases, ice cream sales tend to increase.

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What does a negative correlation indicate?

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A negative correlation indicates that two variables move in opposite directions. For example, as the amount of time spent driving increases, the amount of fuel left in the tank tends to decrease.

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What is the correlation coefficient (r)?

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

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What does an r value of 1 indicate?

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An r value of 1 indicates a perfect positive correlation, meaning that as one variable increases, the other variable increases in a perfectly linear manner.

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What does an r value of -1 indicate?

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An r value of -1 indicates a perfect negative correlation, meaning that as one variable increases, the other variable decreases in a perfectly linear manner.

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What does an r value of 0 indicate?

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An r value of 0 indicates no correlation between the two variables, meaning that changes in one variable do not predict changes in the other.

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How can you visually represent correlation?

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Correlation can be visually represented using a scatter plot, where each point represents an observation and the pattern of points indicates the type of correlation.

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What is an example of a positive correlation in real life?

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An example of a 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 negative correlation in real life?

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An example of a negative correlation is the relationship between the amount of exercise and body weight; typically, more exercise leads to lower body weight.