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Here are the solutions to the given questions based on the data provided:

1. \( \sum X = 425 \)
2. \( \sum Y = 426 \)
3. \( \sum XY = 30221 \)
4. \( \sum X^2 = 30755 \)
5. \( \sum Y^2 = 31504 \)
6. The value of the correlation coefficient \( r \) is approximately \( 0.051 \)

Would you like further clarification or a breakdown of any part of the solution?

Here are five related questions:
1. What does the correlation coefficient \( r \) tell us about the relationship between Math and Science scores?
2. How is \( r \) affected by the magnitude of \( X \) and \( Y \) values?
3. What are some possible reasons for a low correlation coefficient?
4. How would you interpret a correlation coefficient close to 1 or -1?
5. Can \( r \) be influenced by outliers in the data? How?

**Tip:** The correlation coefficient \( r \) ranges from -1 to 1. The closer it is to these extremes, the stronger the relationship between the variables.

Find the sum of X, Y, XY, X^2, Y^2, and calculate the correlation coefficient r for the given dataset of students' quiz scores in Math (X) and Science (Y).

Learn how to calculate the sum of X, Y, XY, X^2, Y^2, and the correlation coefficient (r) for a dataset of students' quiz scores in Math and Science. This problem covers key statistical concepts such as summation, correlation coefficient, and bivariate data analysis, suitable for high school students.

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