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 rr 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:

  1. How do we interpret the correlation coefficient rr in terms of strength and direction?
  2. What other methods can we use to determine relationships between two variables besides correlation?
  3. Can the correlation coefficient imply causation between price and bids?
  4. How does outlier data affect the correlation coefficient?
  5. 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.

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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