Statistics: Correlation Concepts

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Questions and Answers

Which of the following correctly describes a positive correlation?

There is no relationship between the variables.
Two variables move in the same direction. (correct)
Two variables move in opposite directions.
One variable causes the other to change.

A correlation coefficient of -0.8 indicates a strong positive correlation.

False (B)

Give an example of a negative correlation in everyday life.

As the temperature outside increases, the number of people wearing jackets decreases.

The correlation coefficient, denoted by 'r', ranges from -1.0 to ______.

<p>1.0</p> Signup and view all the answers

Match the following correlation coefficient values with their corresponding strength of correlation.

<p>-0.9 = Strong negative correlation 0.2 = Weak positive correlation 0 = No correlation 0.8 = Strong positive correlation -0.5 = Moderate negative correlation</p> Signup and view all the answers

Flashcards

Correlation

Examines how variables are naturally related in the real world.

Positive Correlation

A situation where one variable increases, and the other does too (r>0).

Negative Correlation

A situation where one variable increases while the other decreases.

Correlation Coefficient (r)

A statistical measure that indicates the strength and direction of a relationship between two variables.

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Examples of Correlation

Real-world illustrations of correlations, such as IQ scores and test performance (positive), and beers consumed and test performance (negative).

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Study Notes

Correlation

Correlation examines natural relationships between variables.
Positive correlation (r > 0) indicates that as one variable increases, the other tends to increase. An example is IQ scores and test performance.
Negative correlation indicates that as one variable increases, the other tends to decrease. An example is the number of beers consumed and test performance.
The correlation coefficient (r) measures the strength and direction of a linear relationship.
The range of the correlation coefficient is from -1.0 to +1.0.