Math Problem Statement
Values of X and Y were recorded for an additional three weeks, and the correlation coefficient, r, for the augmented data set was found to be r = 0.91.
Which of the following statements best interprets this result?
A.There is a weak positive linear association between the two variables.
B.There is a weak negative linear association between the two variables.
C.There is a strong negative linear association between the two variables.
D.There is a strong positive linear association between the two variables.
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Correlation Coefficient
Formulas
Correlation coefficient formula: r = Σ[(X_i - X̄)(Y_i - Ȳ)] / sqrt[Σ(X_i - X̄)^2 Σ(Y_i - Ȳ)^2]
Theorems
Pearson Correlation Theorem
Suitable Grade Level
Grades 10-12
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