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
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Statistics
Correlation Coefficient
Linear Relationships
Formulas
Correlation Coefficient Formula: r = Σ[(X - X̄)(Y - Ȳ)] / [√Σ(X - X̄)^2 * Σ(Y - Ȳ)^2]
Theorems
Pearson's Correlation Theorem
Suitable Grade Level
Grades 10-12
Related Recommendation
Interpreting Correlation Coefficient r = 0.91: Strong Positive Linear Association
Understanding Correlation Coefficient r = 0.91 in Linear Relationships
Interpreting Correlation Coefficient r = 0.91 in Data Analysis
Interpretation of Correlation Coefficient r = 0.91 for Linear Association
Understanding a Correlation Coefficient of r ≈ 0.812 in Bivariate Data