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:
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.