Correlation Between Variables

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What is correlation between variables?

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Correlation refers to 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 is a line of best fit?

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A line of best fit is a straight line that best represents the data on a scatter plot. It is used to predict values and understand the relationship between variables.

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What does a positive correlation indicate?

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A positive correlation indicates that as one variable increases, the other variable also tends to increase. This is represented by a correlation coefficient (r) that is greater than 0.

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What does a negative correlation indicate?

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A negative correlation indicates that as one variable increases, the other variable tends to decrease. This is represented by a correlation coefficient (r) that is less than 0.

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What is the range of the correlation coefficient (r)?

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The correlation coefficient (r) ranges from -1 to 1. An r of 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.

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What does an r value of 0 mean?

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An r value of 0 means that there is no correlation between the two variables; changes in one variable do not predict changes in the other.

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What is a strong positive correlation?

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A strong positive correlation is indicated by an r value close to 1 (e.g., r = 0.8 or higher), meaning that the two variables have a strong tendency to increase together.

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What is a strong negative correlation?

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A strong negative correlation is indicated by an r value close to -1 (e.g., r = -0.8 or lower), meaning that as one variable increases, the other variable has a strong tendency to decrease.

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What is the formula for the line of best fit in linear regression?

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How do you determine the slope of the line of best fit?

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