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?
\bigcirc the first variable (x) has a stronger relationship with the response variable y.
\bigcirc the second variable (w) has a stronger relationship with the response variable y.

Explanation:

Step1: Recall Scatter Plot Relationship

In scatter plots, a stronger relationship (correlation) is shown by points clustering more closely around a line (linear or non - linear). We need to visually inspect the two scatter plots.

Step2: Compare the Two Plots

For the first plot (x & y), the points are more spread out. For the second plot (w & y), the points cluster more tightly around an apparent trend line. So, the variable w has points that are more concentrated, indicating a stronger relationship with y.

Answer:

The second variable (w) has a stronger relationship with the response variable y.