Math Problem Statement
Use a calculator to verify that
x = 64,
x2 = 1126,
y = 630,
y2 = 88,950, and
xy = 9,720.
Compute r. (Round your answer to four decimal places.)
Solution
To compute , we’ll use the formula for the Pearson correlation coefficient:
[ r = \frac{{n \cdot (xy) - (x \cdot y)}}{{\sqrt{[n \cdot x^2 - (x)^2] \cdot [n \cdot y^2 - (y)^2]}}} ]
Given values are:
We need to confirm the values for (which represents the number of data pairs). Without this, we can’t fully compute . Could you provide the value of , or should I assume a specific value?
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Math Problem Analysis
Mathematical Concepts
Statistics
Correlation
Formulas
Pearson correlation coefficient formula: r = (n * xy - x * y) / sqrt((n * x^2 - x^2) * (n * y^2 - y^2))
Theorems
Pearson correlation theorem
Suitable Grade Level
Grades 10-12
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