Here are the essential concepts you must grasp in order to answer the question correctly.
Perfect Positive Linear Correlation
Perfect positive linear correlation occurs when two variables move in the same direction with a consistent ratio. This means that as one variable increases, the other variable also increases proportionally. An example is the relationship between height and weight in a specific population, where taller individuals tend to weigh more.
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Perfect Negative Linear Correlation
Perfect negative linear correlation exists when two variables move in opposite directions with a consistent ratio. In this case, as one variable increases, the other decreases proportionally. An example is the relationship between the speed of a car and the time taken to reach a destination, where higher speeds result in shorter travel times.
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Correlation Coefficient
The correlation coefficient is a statistical measure that quantifies the strength and direction of a relationship between two variables. It ranges from -1 to 1, where 1 indicates perfect positive correlation, -1 indicates perfect negative correlation, and 0 indicates no correlation. Understanding this coefficient helps in assessing the degree of linear relationships between variables.
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