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
[Graphs generated by this script: width="300";height="300";xmin=-5;xmax=5;ymin=-5;ymax=5;axes(1,1);marker="dot"; line([2.4059405940594,2.5821428571429],[2.4059405940594,2.5821428571429]); line([1.8712871287129,-0.29047619047619],[1.8712871287129,-0.29047619047619]); line([-2.8811881188119,1.5607142857143],[-2.8811881188119,1.5607142857143]); line([0.93564356435644,1.7613095238095],[0.93564356435644,1.7613095238095]); line([-0.28217821782178,2.4625],[-0.28217821782178,2.4625]); line([0.84653465346535,0.59107142857143],[0.84653465346535,0.59107142857143]); line([0.11881188118812,-1.7357142857143],[0.11881188118812,-1.7357142857143]); line([-0.84653465346535,1.4339285714286],[-0.84653465346535,1.4339285714286]); line([0,0.49166666666667],[0,0.49166666666667]); line([-0.56435643564356,4.1119047619048],[-0.56435643564356,4.1119047619048]); line([1.6930693069307,-0.85119047619048],[1.6930693069307,-0.85119047619048]); line([4.2178217821782,-4.5],[4.2178217821782,-4.5]); line([-1.8712871287129,3.6904761904762],[-1.8712871287129,3.6904761904762]); line([-0.44554455445545,1.5095238095238],[-0.44554455445545,1.5095238095238]); line([3.519801980198,3.3291666666667],[3.519801980198,3.3291666666667]); line([1.1732673267327,1.6815476190476],[1.1732673267327,1.6815476190476]); line([0.68316831683168,-0.96904761904762],[0.68316831683168,-0.96904761904762]); line([-4.5,2.5077380952381],[-4.5,2.5077380952381]); line([-1.3811881188119,4.2279761904762],[-1.3811881188119,4.2279761904762]); line([1.6782178217822,1.439880952381],[1.6782178217822,1.439880952381]); line([0.74257425742574,-2.1154761904762],[0.74257425742574,-2.1154761904762]); line([0,0.23571428571429],[0,0.23571428571429]); line([0.35643564356436,4.5],[0.35643564356436,4.5]); line([-0.20792079207921,0.84642857142857],[-0.20792079207921,0.84642857142857]); line([-0.17821782178218,-1.2178571428571],[-0.17821782178218,-1.2178571428571]); line([-0.22277227722772,0.84583333333333],[-0.22277227722772,0.84583333333333]); line([3,-1.4238095238095],[3,-1.4238095238095]); line([-3.0594059405941,2.9761904761905],[-3.0594059405941,2.9761904761905]); line([-0.044554455445546,2.3886904761905],[-0.044554455445546,2.3886904761905]); line([-1.2326732673267,-0.65297619047619],[-1.2326732673267,-0.65297619047619]); line([3.9950495049505,-4.2946428571429],[3.9950495049505,-4.2946428571429]); line([4.5,-3.0005952380952],[4.5,-3.0005952380952]); line([0.90594059405941,2.0577380952381],[0.90594059405941,2.0577380952381]); line([2.509900990099,-2.1696428571429],[2.509900990099,-2.1696428571429]); line([2.9108910891089,-2.7845238095238],[2.9108910891089,-2.7845238095238]); line([1.9455445544554,-0.22202380952381],[1.9455445544554,-0.22202380952381]); line([3.2376237623762,-1.247619047619],[3.2376237623762,-1.247619047619]);] [Graphs generated by this script: width="300";height="300";xmin=-5;xmax=5;ymin=-5;ymax=5;axes(1,1);marker="dot"; line([-0.58029197080292,-0.069633828711506],[-0.58029197080292,-0.069633828711506]); line([-0.15328467153285,0.33851692967673],[-0.15328467153285,0.33851692967673]); line([1.7518248175182,2.1600275777539],[1.7518248175182,2.1600275777539]); line([0.36131386861314,2.4178795771411],[0.36131386861314,2.4178795771411]); line([-1.0948905109489,-1.3078749808488],[-1.0948905109489,-1.3078749808488]); line([0.40510948905109,-0.0075838823349148],[0.40510948905109,-0.0075838823349148]); line([-4.5,-4.0849548031255],[-4.5,-4.0849548031255]); line([3.7883211678832,4.1235636586487],[3.7883211678832,4.1235636586487]); line([1.9489051094891,3.3417343343037],[1.9489051094891,3.3417343343037]); line([2.0255474452555,2.6908993411981],[2.0255474452555,2.6908993411981]); line([-1.970802919708,-1.5147081354374],[-1.970802919708,-1.5147081354374]); line([0.43795620437956,0.32610694040141],[0.43795620437956,0.32610694040141]); line([0.38321167883212,-0.16339819212502],[0.38321167883212,-0.16339819212502]); line([0.7007299270073,1.5478014401716],[0.7007299270073,1.5478014401716]); line([-1.9051094890511,-2.2400030641949],[-1.9051094890511,-2.2400030641949]); line([1.9160583941606,2.0221388080282],[1.9160583941606,2.0221388080282]); line([-0.22992700729927,-0.29990807415352],[-0.22992700729927,-0.29990807415352]); line([-1.2810218978102,0.32886471579593],[-1.2810218978102,0.32886471579593]); line([2.3211678832117,1.5160870231347],[2.3211678832117,1.5160870231347]); line([2.5839416058394,2.1931208824881],[2.5839416058394,2.1931208824881]); line([1.7408759124088,2.8301669986211],[1.7408759124088,2.8301669986211]); line([-2.5401459854015,-2.3668607323426],[-2.5401459854015,-2.3668607323426]); line([2.3540145985401,1.2292783821051],[2.3540145985401,1.2292783821051]); line([2.9233576642336,4.3359123640264],[2.9233576642336,4.3359123640264]); line([1.2919708029197,1.5491803278689],[1.2919708029197,1.5491803278689]); line([1.992700729927,1.3368316224912],[1.992700729927,1.3368316224912]); line([-4.2153284671533,-4.5],[-4.2153284671533,-4.5]); line([1.1058394160584,1.0486440937644],[1.1058394160584,1.0486440937644]); line([3.536496350365,4.5],[3.536496350365,4.5]); line([2.8138686131387,3.7912517236096],[2.8138686131387,3.7912517236096]); line([0.56934306569343,0.88869312088249],[0.56934306569343,0.88869312088249]); line([0.66788321167883,2.861881415658],[0.66788321167883,2.861881415658]); line([0.010948905109489,1.6346713650988],[0.010948905109489,1.6346713650988]); line([-0.51459854014598,-0.39505132526429],[-0.51459854014598,-0.39505132526429]); line([1.0729927007299,2.1972575455799],[1.0729927007299,2.1972575455799]); line([4.5,4.0890914662173],[4.5,4.0890914662173]); line([-4.2700729927007,-4.4103722996783],[-4.2700729927007,-4.4103722996783]);]
Which explanatory variable has a stronger relationship with the response variable
y ?