Here are the scatter plots for two sets of bivariate data with the same response variable. The first compares the variables x & y. The second compares the variables w & y Which explanatory variable has a stronger relationship with the response variable y? O The first variable (x) has a stronger relationship with the response variable y. O The second variable (w) has a stronger relationship with the response variable y.

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**Bivariate Data Scatter Plots Analysis**

Here are the scatter plots for two sets of bivariate data with the same response variable. The first plot compares the variables \( x \) and \( y \). The second plot compares the variables \( w \) and \( y \).

### Graph Explanation
**Scatter Plot Comparison**

1. **x and y Variables Scatter Plot:**
    - Located on the left side.
    - Yellow dots represent data points.
    - Displays the relationship between the variables \( x \) (on the horizontal axis) and \( y \) (on the vertical axis).

2. **w and y Variables Scatter Plot:**
    - Located on the right side.
    - Yellow dots represent data points.
    - Displays the relationship between the variables \( w \) (on the horizontal axis) and \( y \) (on the vertical axis).

### Question for Analysis:
**Which explanatory variable has a stronger relationship with the response variable \( y \)?**

- **Option 1:** The first variable \( x \) has a stronger relationship with the response variable \( y \).
- **Option 2:** The second variable \( w \) has a stronger relationship with the response variable \( y \).

Analyze the scatter plots to determine which explanatory variable (\( x \) or \( w \)) shows a stronger relationship with the response variable \( y \). A stronger relationship is typically indicated by data points that are more tightly clustered around a clear trend (positive or negative correlation).
Transcribed Image Text:**Bivariate Data Scatter Plots Analysis** Here are the scatter plots for two sets of bivariate data with the same response variable. The first plot compares the variables \( x \) and \( y \). The second plot compares the variables \( w \) and \( y \). ### Graph Explanation **Scatter Plot Comparison** 1. **x and y Variables Scatter Plot:** - Located on the left side. - Yellow dots represent data points. - Displays the relationship between the variables \( x \) (on the horizontal axis) and \( y \) (on the vertical axis). 2. **w and y Variables Scatter Plot:** - Located on the right side. - Yellow dots represent data points. - Displays the relationship between the variables \( w \) (on the horizontal axis) and \( y \) (on the vertical axis). ### Question for Analysis: **Which explanatory variable has a stronger relationship with the response variable \( y \)?** - **Option 1:** The first variable \( x \) has a stronger relationship with the response variable \( y \). - **Option 2:** The second variable \( w \) has a stronger relationship with the response variable \( y \). Analyze the scatter plots to determine which explanatory variable (\( x \) or \( w \)) shows a stronger relationship with the response variable \( y \). A stronger relationship is typically indicated by data points that are more tightly clustered around a clear trend (positive or negative correlation).
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