Question

Find the correlation coefficient of the following table using technology round your answer to the nearest hundredth x 2.3 y19 x 3.1 y28 X 4.5 y33 x 6.6 y82
0.88 0.951 - 0.95

Answer 1

To find the correlation coefficient using the given data points, we can use technology such as a graphing calculator or statistical software. Let's first organize the data you've provided:

- x: 2.3, 3.1, 4.5, 6.6
- y: 19, 28, 33, 82

### Step 1: Input the Data
Input the x and y values into a statistical software, calculator, or spreadsheet program. If you're using Python, for example, you could use the `numpy` library. Here’s an example code snippet:

```python
import numpy as np

# Data
x = np.array([2.3, 3.1, 4.5, 6.6])
y = np.array([19, 28, 33, 82])

# Calculate correlation coefficient
correlation_coefficient = np.corrcoef(x, y)[0, 1]
print(round(correlation_coefficient, 2))
```

### Step 2: Calculate the Correlation Coefficient
After running the code, or using a calculator, you'll find the correlation coefficient.

Using either a graphing calculator or the software, you should arrive at a correlation coefficient of approximately:

**0.951**

### Final Answer
The rounded correlation coefficient is approximately **0.95**.

It looks like the closest option given is **0.951**, but rounded to the nearest hundredth would yield **0.95**.