To find the correlation coefficient for the given data, follow these steps:
### Step 1: Organize the Data
Let's rewrite and organize the given data points:
| Number of Flowers | Total Cost ($) |
|-------------------|----------------|
| 8 | 12 |
| 12 | 40 |
| 6 | 15 |
| 20 | 20 |
### Step 2: Understand the Correlation Coefficient
The correlation coefficient measures the strength and direction of the linear relationship between two variables. It is denoted by \( r \) and ranges from -1 to 1:
- \( r = 1 \): Perfect positive linear relationship
- \( r = -1 \): Perfect negative linear relationship
- \( r = 0 \): No linear relationship
### Step 3: Calculate the Correlation Coefficient
For the given number of flowers and total cost, we determine the correlation coefficient to understand their linear relationship better.
### Step 4: Interpret the Result
Following a detailed calculation, the correlation coefficient for the provided data is found to be approximately \( 0.28 \). This indicates a weak positive linear relationship between the number of flowers and the total cost.
Thus, among the given choices, the correct answer is:
0.28
