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Section 6.1 Correlation

Text of section.

Exercises Exercises

1.

Calculate the correlation of \(X\) and \(Y\text{:}\)
Table 6.1.1.
\(X = 1\) \(X = 2\)
\(Y = 0\) 0.12 0.24
\(Y = 1\) 0.3 34

2.

Calculate the correlation of \(X\) and \(Y\text{:}\)
Table 6.1.2.
\(X = 0\) \(X = 1\) \(X = 2\)
\(Y = 0\) 0.08 0.16 0.1
\(Y = 1\) 0.14 0.2 0.32

3.

Suppose we roll a fair, 4-sided die two times. Let \(X\) be the sum of the rolls, and let \(Y\) be the product of the rolls. Find the correlation of \(X\) and \(Y\text{.}\)
[Note: Somewhat tedious.]