Question

Find the correlation coefficient of the following table using technology (such as GeoGebra). Round your answer to the nearest hundredth.

x y
2.3 19
3.1 28
4.5 33
6.6 82
(1 point)
Responses

1
1

0.88
0.88

−0.95
−
0.95
negative 0 point 9 5

0.95

Answer 1

To find the correlation coefficient of the given data, we can use technology such as GeoGebra, Excel, or a calculator. However, I can guide you through the process conceptually and provide you with the expected answer.

Here are the steps to calculate the correlation coefficient (usually denoted as \( r \)) using a calculator or software:

1. **Input the Data**: Enter the x and y values into your chosen software.
```
x: 2.3, 3.1, 4.5, 6.6
y: 19, 28, 33, 82
```

2. **Calculate the Correlation Coefficient**: Most tools have a function or formula for calculating correlation coefficients:
- In GeoGebra, you can use the `CorrelationCoefficient` command.
- In Excel, use the formula =CORREL(A1:A4, B1:B4) where A1:A4 are your x values and B1:B4 are your y values.

3. **Get the Result**: After running the correlation function, you will retrieve the correlation coefficient \( r \).

When you calculate the correlation for the provided data, you should find that the correlation coefficient rounds to **approximately 0.95**.

So, the answer to the rounded nearest hundredth would be:

**0.95**