Question

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?
the first variable (x) has a stronger relationship with the response variable y.
the second variable (w) has a stronger relationship with the response variable y.
question help: video message instructor

Explanation:

To determine which explanatory variable has a stronger relationship with \( y \), we analyze the scatter plots. A stronger relationship is indicated by points that cluster more closely around a trend (linear or otherwise). In the scatter plot for \( x \) and \( y \), the points appear to form a more distinct and tighter cluster, suggesting a stronger association. In contrast, the points for \( w \) and \( y \) are more spread out, indicating a weaker relationship. Thus, the first variable (\( x \)) has a stronger relationship with \( y \).

Answer:

The first variable (x) has a stronger relationship with the response variable y.