Math Problem Statement
Based on the data shown below, calculate the correlation coefficient (rounded to three decimal places)
x y 5 15.5 6 17.1 7 18.1 8 18.8 9 18.7 10 21.7 11 18.5 12 20.2 13 21.6 14 22.9 15 23.7 16 23.3 17 23.6 18 25.8
Solution
The correlation coefficient for the given data is (rounded to three decimal places).
This indicates a strong positive linear relationship between and .
Would you like more details or have any questions about this calculation?
Here are five related questions:
- What does a correlation coefficient of 0.950 suggest about the data?
- How is the correlation coefficient affected by changes in the data?
- Can a high correlation coefficient indicate causation between variables?
- How would you interpret a correlation coefficient of -0.950?
- What is the difference between correlation and regression analysis?
Tip: A correlation coefficient close to 1 indicates a strong positive relationship, while one close to -1 indicates a strong negative relationship.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Statistics
Correlation
Linear Relationship
Formulas
Pearson correlation coefficient formula
Theorems
Pearson's Correlation Theorem
Suitable Grade Level
Grades 9-12
Related Recommendation
Calculate Correlation Coefficient for Given Data Set
Calculate the Correlation Coefficient for Given Data
Calculate the Correlation Coefficient for Bivariate Data Set with Four Decimal Precision
Correlation Coefficient Calculation for x = [6, 3, 1, 4, 5] and y = [5, 3, 2, 7, 1]
Linear Correlation Coefficient Calculation for Data Points x: [2.2, 3.9, 3, 4.6, 10.5] and y: [3.9, 1.5, 3.5, 4.9, 9.3]