Question

A)
Use the table to answer the question.
This table shows
the corresponding
y-values for a
given set of xvalues.
x-Value y-Value
1 23
5 27
7 32
11 35
15 39
17 43
Find the correlation coefficient of the data using technology (such as GeoGebra). Round your rvalue to two decimal places, if necessary.

\(r=\)

Answer 1

To calculate the correlation coefficient (r) for the given dataset, you would typically use a statistical software or calculator that supports statistical functions, such as GeoGebra, Excel, or a graphing calculator.

However, since I can't directly perform calculations using software, I can describe how you can compute it yourself using GeoGebra or any similar tool.

1. **Input the Data**:
- You need to enter the \(x\)-values and \(y\)-values into the software.
- In GeoGebra, go to the input bar and type:
```
Data = {(1, 23), (5, 27), (7, 32), (11, 35), (15, 39), (17, 43)}
```

2. **Calculate the Correlation Coefficient**:
- In GeoGebra, you can use the `Correlation` function.
- To find the correlation coefficient, you can use:
```
r = Correlation(Data)
```

3. **Round the Result**:
- Once you compute \(r\), round your result to two decimal places if necessary.

Alternatively, you could compute it manually using the formula for the Pearson correlation coefficient, but it's much easier and quicker to use technology.

If you follow these steps and the technology yields a result, you should find the \(r\)-value.

As an example, if you found \(r = 0.97\) after computations, you would write:
\[
r = 0.97
\]

Make sure to replace that with whatever value you get from the computation.