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Explain what is meant by a correlation between two variables,

how one would know if a correlation coefficient were weak or strong, and what constitutes a perfect relationship; describe what is meant by positive, negative, and zero correlations and give an example of each.
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ANSWER: Answer will include that correlation indicates a consistent, systematic relationship between two events, thus, allowing prediction, but not concluding causation. The strength of a correlation is expressed as a correlation coefficient. This coefficient is simply a number falling somewhere between +1.00 and -1.00. If the number is zero or close to zero, it indicates a weak or nonexistent relationship, while a coefficient close to -1.00 or +1.00 is a strong correlation. If the correlation is +1.00, a perfect positive relationship exists; if the correlation is -1.00, a perfect negative relationship has been discovered. A positive correlation indicates a direct relationship, that is, when one variable increases, the other variable increases, or if one decreases, the other decreases. A negative correlation indicates an inverse relationship in which one variable is decreasing, while the other is increasing. The zero correlation indicates that no relationship exists between the two events. Possible examples may be similar to the following. Positive relationship: As your study time increases, your grades increase, or as your study time decreases, your grades decrease. Negative relationship: As your absences in class increase, your grades decrease. Zero correlation might be your grade point average and the number of ice cream cones you have eaten this semester.

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