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The correlation coefficient \( r \) between \( X \) (year) and \( Y \) (high temperature) is approximately \( r = 0.795 \).

This indicates a strong positive correlation between the two variables.

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Here are 5 related questions:
1. What does a positive correlation coefficient imply in this context?
2. How would a correlation coefficient of 1.0 differ from 0.795?
3. What is the significance of the correlation coefficient in climate studies?
4. Can correlation alone prove causation between two variables?
5. What would a correlation coefficient close to 0 indicate about the relationship?

**Tip:** The closer the correlation coefficient is to 1 or -1, the stronger the linear relationship between the two variables.

Annual high temperatures in a certain location have been tracked for several years. Let X represent the year and Y the high temperature. Based on the data shown below, calculate the correlation coefficient (to three decimal places) between X and Y.

Learn how to calculate the correlation coefficient between years and high temperatures using statistical methods. This problem provides real-world data for understanding correlation, with a step-by-step solution for calculating the Pearson correlation coefficient.

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