Math Problem Statement
The data below shows the high temperatures and the times (in minutes) runners who won a marathon. Temperature (x)
59
65
49
60
75
72
50
57
Time (y)
145.067 145.706 147.073 144.657 144.921 146.627 147.925 144.376. Find the value of the linear correlation coefficient r.
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Correlation
Linear Relationships
Formulas
Pearson's correlation coefficient formula: r = [n(Σxy) - (Σx)(Σy)] / sqrt([nΣx² - (Σx)²][nΣy² - (Σy)²])
Theorems
Pearson Correlation Theorem
Suitable Grade Level
Grades 10-12
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