Math Problem Statement

Here is a bivariate data set.

xy

26.8

81.2

22.1

-38.9

40.5

106.5

7.1

14.9

34.8

76.4

42

104.6

25.7

85.9

24.9

59.6

30.8

109.8

15.9

88.8

47.9

62.3

17.9

30

Find the correlation coefficient and report it accurate to three decimal places. r =

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Correlation
Bivariate Data Analysis

Formulas

Pearson correlation coefficient formula: r = Σ((xi - x̄)(yi - ȳ)) / sqrt(Σ(xi - x̄)^2 * Σ(yi - ȳ)^2)

Theorems

Pearson's correlation theorem

Suitable Grade Level

Grades 10-12