Match these values of r with the accompanying scatterplots: 0.704, −0.998, 0.998, 1, and 0.348.
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
![### Scatterplot Matching Exercise
**Objective:**
Match the values of the correlation coefficient \( r \) with their corresponding scatterplots. The values of \( r \) are: 0.704, -0.998, 0.998, 1, and 0.348.
**Instructions:**
Select the correct correlation coefficient for each scatterplot from the dropdown menus.
**Scatterplot Descriptions:**
- **Scatterplot 1:**
- Displays points following a positive linear trend.
- The points are closely aligned, indicating a strong positive correlation.
- **Scatterplot 2:**
- Shows a set of points with a weak correlation.
- The points are scattered with no clear linear trend, suggesting a low correlation.
- **Scatterplot 3:**
- Exhibits a strong positive linear relationship.
- The points closely adhere to a linear path.
- **Scatterplot 4:**
- Consists of points in an almost perfect positive line.
- This represents a perfect positive correlation.
- **Scatterplot 5:**
- Displays points nearly in a negative linear pattern.
- The points are very tightly clustered, indicating a strong negative correlation.
**Dropdown Menus:**
- Scatterplot 1, \( r = \) [Choose value]
- Scatterplot 2, \( r = \) [Choose value]
- Scatterplot 3, \( r = \) [Choose value]
- Scatterplot 4, \( r = \) [Choose value]
- Scatterplot 5, \( r = \) [Choose value]
Explore and match each scatterplot correctly based on the correlation coefficient values provided.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f6903cd-1749-436e-bb2b-87f8ab4fbb51%2Fa0bf0e67-1104-40cf-9147-d879e249b9dc%2Frlzgvlw_processed.png&w=3840&q=75)
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