Here are two sets of bivariate data with the same response variable. The first contains the variables
x &
y.
The second contains the variables
w &
y
| x | y |
|---|
| 42.9 | 49 | | 78.7 | -10.9 | | 82.4 | -8.9 | | 80.5 | -4.1 | | 69.8 | 45.3 | | 76.9 | -51.9 | | 44.7 | 58.2 | | 49.7 | 102.1 | | 76.4 | -15.7 | | 62.3 | 101.2 | | 53 | -13.6 | | 64.5 | 19.3 | | 66.4 | 41.8 | | 83.9 | -9.6 | | 79.7 | 35.1 | | 55.6 | 44.3 | | 59.2 | 39.3 | | 73.6 | 16 | | 64.9 | -25.7 | | 91.6 | -25.6 | | 65 | -31.6 | | 84.2 | -1.1 | | 95.4 | -20.2 | | 74.1 | -13.6 | | 75.9 | 25.3 | | 55.3 | 64.6 | | 84.3 | -9.7 | | 56.3 | 79.6 | | 44.7 | 42 | | 85.3 | -44.7 |
| | w | y |
|---|
| 58.6 | 23.8 | | 58 | 40.9 | | 80.7 | 50 | | 74.3 | 43.3 | | 84.2 | 56.5 | | 79.4 | 50.6 | | 77.8 | 44.3 | | 43.7 | 22.7 | | 69.6 | 40.4 | | 76.4 | 47.4 | | 84.5 | 53.4 | | 77.1 | 46.6 | | 75 | 44.8 | | 59.8 | 17.9 | | 80.4 | 46.7 | | 75.9 | 41.2 | | 95.1 | 63.7 | | 95.3 | 74.4 | | 83.5 | 42.3 | | 52.4 | 17.2 | | 76.1 | 42.4 | | 67 | 31.8 | | 88.8 | 62.5 | | 58.4 | 24.1 | | 78.9 | 49.9 | | 64.8 | 39.5 | | 50 | 7.7 | | 98 | 75.7 | | 62.2 | 34.1 | | 66 | 40.3 |
|
Which explanatory variable has a stronger relationship with the response variable
y?