Math Problem Statement
Consider the relationship between the number of bids an item on eBay received and the item's selling price. The following is a sample of 5 items sold through an auction.
Price in Dollars 120 150 160 180 190 Number of Bids 12 15 16 17 18
Calculate the correlation coefficient, r. Round your answer to three decimal places.
Solution
The correlation coefficient between the number of bids and the selling price is 0.991, rounded to three decimal places. This indicates a very strong positive linear relationship between the two variables.
Would you like more details on how the calculation was done or have any questions?
Here are 5 related questions to expand your understanding:
- How do we interpret the correlation coefficient in terms of strength and direction?
- What other methods can we use to determine relationships between two variables besides correlation?
- Can the correlation coefficient imply causation between price and bids?
- How does outlier data affect the correlation coefficient?
- What is the formula for calculating the correlation coefficient manually?
Tip: A correlation coefficient close to 1 or -1 means the data points closely follow a straight line, indicating a strong linear 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 10-12
Related Recommendation
Calculate the Correlation Coefficient for eBay Auctions
Calculating Correlation Coefficient Between eBay Bids and Prices
Calculate the Correlation Coefficient for eBay Auction Data
Calculate the Correlation Coefficient for eBay Bids and Selling Price
Calculate the Correlation Coefficient for eBay Auction Data