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A perfect positive correlation is indicated when the correlation coefficient, denoted by r, is equal to +1. This signifies a perfect direct linear relationship between two variables, meaning that as one variable increases, the other also increases by a perfectly predictable amount. The mathematical representation is: $$r = 1$$

Perfect Positive Correlation

A researcher is investigating the relationship between two variables and creates a scatter plot to visualize the data. Which of the following descriptions of the scatter plot would indicate a correlation coefficient of exactly +1?

Based on the scenario described, what would be the exact value of the correlation coefficient between the number of widgets produced and the total production cost? Justify your answer by explaining the nature of the relationship between the two variables.

Analyzing Variable Relationships in a Business Scenario

If an increase in one variable is always accompanied by an increase in a second variable, the relationship between them has a correlation coefficient of +1.

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