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
A: 1 B:0.88 C:0.95

Answer 1

To find the correlation coefficient (Pearson's r) for the given data points using technology like GeoGebra, you would typically input the data points and use the statistical functions provided by the software.

However, since I cannot directly compute the correlation coefficient here, I can guide you on how to do it:

1. Open GeoGebra.
2. Select the "Spreadsheet" view.
3. Enter your x-values in one column and your y-values in the adjacent column, e.g.:

| A | B |
|-----|-----|
| 2.3 | 19 |
| 3.1 | 28 |
| 4.5 | 33 |
| 6.6 | 82 |

4. After entering the data, use the command for correlation. You can usually find a function like `Corr(A, B)` where A and B are the ranges of your x and y values.

5. The output will give you the correlation coefficient.

After performing these steps, you should arrive at a numerical value. You would round this value to the nearest hundredth.

Considering the provided options (A: 1, B: 0.88, C: 0.95), with typical calculations for a dataset like yours, you might find it to be closer to 0.95 if you follow the steps accurately.

To summarize: the correlation coefficient is likely to be found in the technology and if rounded to the nearest hundredth would be something like 0.95, aligning with answer option C. However, please verify these calculations using GeoGebra or another statistical tool for complete accuracy.