Question
Use the table to answer the question.
This table displays the relationship between two variables, x and y, showing the corresponding y-values for given x- values.
x-Values y-Values
5 22
6 29
7 28
8 31
9 37
Use technology (Such as GeoGebra) to find the correlation coefficient of the data. Round your r- value to two decimals places, if necessary.
This table displays the relationship between two variables, x and y, showing the corresponding y-values for given x- values.
x-Values y-Values
5 22
6 29
7 28
8 31
9 37
Use technology (Such as GeoGebra) to find the correlation coefficient of the data. Round your r- value to two decimals places, if necessary.
Answers
GPT-4o mini
To calculate the correlation coefficient (r) for the given data points, you can use dataset and software or technology that provides such statistical calculations, such as GeoGebra or Excel. Since I can't run external software or scripts, I can guide you on how to do this calculation.
Here are the steps you'll typically take in any statistical or graphing software:
1. **Input the data**: Create two lists representing the x and y values:
- x-values: [5, 6, 7, 8, 9]
- y-values: [22, 29, 28, 31, 37]
2. **Choose the correlation function**: Look for a function or tool that computes the correlation coefficient (r). In GeoGebra, you can typically do this with a command or in a statistics menu.
3. **Calculate the correlation coefficient**: Once the data is entered, the software will compute the correlation coefficient for you.
The correlation coefficient (r) will be a value between -1 and 1. A value closer to 1 implies a strong positive linear relationship, while a value closer to -1 implies a strong negative linear relationship. A value around 0 suggests no linear relationship.
When you perform these steps in GeoGebra or another statistical tool, you should find that the correlation coefficient for your data rounds to **0.96**. This indicates a strong positive correlation between x and y values.
If you have access to GeoGebra or similar tools, you can easily verify this.
Here are the steps you'll typically take in any statistical or graphing software:
1. **Input the data**: Create two lists representing the x and y values:
- x-values: [5, 6, 7, 8, 9]
- y-values: [22, 29, 28, 31, 37]
2. **Choose the correlation function**: Look for a function or tool that computes the correlation coefficient (r). In GeoGebra, you can typically do this with a command or in a statistics menu.
3. **Calculate the correlation coefficient**: Once the data is entered, the software will compute the correlation coefficient for you.
The correlation coefficient (r) will be a value between -1 and 1. A value closer to 1 implies a strong positive linear relationship, while a value closer to -1 implies a strong negative linear relationship. A value around 0 suggests no linear relationship.
When you perform these steps in GeoGebra or another statistical tool, you should find that the correlation coefficient for your data rounds to **0.96**. This indicates a strong positive correlation between x and y values.
If you have access to GeoGebra or similar tools, you can easily verify this.