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([-0.94044943820225,0.92084942084942],[-0.94044943820225,0.92084942084942]); line([-0.45505617977528,1.3378378378378],[-0.45505617977528,1.3378378378378]); line([0.45505617977528,0.069498069498071],[0.45505617977528,0.069498069498071]); line([-2.0932584269663,-2.7799227799228],[-2.0932584269663,-2.7799227799228]); line([3.0842696629213,3.4054054054054],[3.0842696629213,3.4054054054054]); line([3.8932584269663,4.030888030888],[3.8932584269663,4.030888030888]); line([0.65730337078652,2.0849420849421],[0.65730337078652,2.0849420849421]); line([0.11123595505618,-0.15637065637066],[0.11123595505618,-0.15637065637066]); line([2.1539325842697,4.4131274131274],[2.1539325842697,4.4131274131274]); line([4.5,4.4826254826255],[4.5,4.4826254826255]); line([-0.43483146067416,0.24324324324324],[-0.43483146067416,0.24324324324324]); line([3.023595505618,2.5540540540541],[3.023595505618,2.5540540540541]); line([-0.27303370786517,-1.2857142857143],[-0.27303370786517,-1.2857142857143]); line([0.39438202247191,-0.22586872586873],[0.39438202247191,-0.22586872586873]); line([3.185393258427,2.6583011583012],[3.185393258427,2.6583011583012]); line([-1.1224719101124,-0.9034749034749],[-1.1224719101124,-0.9034749034749]); line([0.83932584269663,0.95559845559846],[0.83932584269663,0.95559845559846]); line([2.4775280898876,3.7528957528957],[2.4775280898876,3.7528957528957]); line([1.2842696629213,0.57335907335907],[1.2842696629213,0.57335907335907]); line([1.0415730337079,2.6235521235521],[1.0415730337079,2.6235521235521]); line([-4.5,-4.5],[-4.5,-4.5]); line([-0.030337078651685,-0.52123552123552],[-0.030337078651685,-0.52123552123552]); line([-4.3584269662921,-4.1351351351351],[-4.3584269662921,-4.1351351351351]); line([-0.41460674157303,0.74710424710424],[-0.41460674157303,0.74710424710424]); line([0.43483146067416,2.7625482625483],[0.43483146067416,2.7625482625483]); line([1.4662921348315,3.7181467181467],[1.4662921348315,3.7181467181467]); line([-3.1449438202247,-0.72972972972973],[-3.1449438202247,-0.72972972972973]); line([3.347191011236,3.457528957529],[3.347191011236,3.457528957529]); line([0.79887640449438,1.4073359073359],[0.79887640449438,1.4073359073359]); line([-1.547191011236,-1.7895752895753],[-1.547191011236,-1.7895752895753]); line([3.9539325842697,4.5],[3.9539325842697,4.5]); line([1.5674157303371,2.2760617760618],[1.5674157303371,2.2760617760618]); line([-1.385393258427,-0.19111969111969],[-1.385393258427,-0.19111969111969]); line([3.3269662921348,3.4401544401544],[3.3269662921348,3.4401544401544]); line([2.7808988764045,3.2490347490347],[2.7808988764045,3.2490347490347]); line([-3.3067415730337,-2.3281853281853],[-3.3067415730337,-2.3281853281853]); line([-0.71797752808989,-1.6332046332046],[-0.71797752808989,-1.6332046332046]);] [Graphs generated by this script: width="300";height="300";xmin=-5;xmax=5;ymin=-5;ymax=5;axes(1,1);marker="dot"; line([1.0558659217877,1.6072347726623],[1.0558659217877,1.6072347726623]); line([4.5,-0.63568773234201],[4.5,-0.63568773234201]); line([0.93016759776536,2.6624249356591],[0.93016759776536,2.6624249356591]); line([-2.3002793296089,-4.133257077495],[-2.3002793296089,-4.133257077495]); line([1.7472067039106,1.8324277952531],[1.7472067039106,1.8324277952531]); line([1.4203910614525,1.2816700028596],[1.4203910614525,1.2816700028596]); line([-0.96787709497207,-0.19173577352016],[-0.96787709497207,-0.19173577352016]); line([-2.9162011173184,1.9186445524735],[-2.9162011173184,1.9186445524735]); line([2.1871508379888,0.86731484129253],[2.1871508379888,0.86731484129253]); line([0.79189944134078,2.8387189019159],[0.79189944134078,2.8387189019159]); line([-1.0684357541899,1.0835001429797],[-1.0684357541899,1.0835001429797]); line([1.9483240223464,0.49799828424364],[1.9483240223464,0.49799828424364]); line([-0.87988826815643,3.5927938232771],[-0.87988826815643,3.5927938232771]); line([0.87988826815642,-0.86602802402059],[0.87988826815642,-0.86602802402059]); line([-0.75418994413408,1.662567915356],[-0.75418994413408,1.662567915356]); line([-0.52793296089385,-0.10809265084358],[-0.52793296089385,-0.10809265084358]); line([-3.7458100558659,1.882613668859],[-3.7458100558659,1.882613668859]); line([2.3756983240223,3.0034315127252],[2.3756983240223,3.0034315127252]); line([4.286312849162,3.91192450672],[4.286312849162,3.91192450672]); line([3.054469273743,2.8708893337146],[3.054469273743,2.8708893337146]); line([2.9916201117318,1.4360880754933],[2.9916201117318,1.4360880754933]); line([-3.7835195530726,0.49413783242779],[-3.7835195530726,0.49413783242779]); line([-4.5,-4.5],[-4.5,-4.5]); line([-1.3072625698324,1.248212753789],[-1.3072625698324,1.248212753789]); line([1.3072625698324,-0.70260223048327],[1.3072625698324,-0.70260223048327]); line([-2.627094972067,2.2969688304261],[-2.627094972067,2.2969688304261]); line([0.6159217877095,-0.66399771232485],[0.6159217877095,-0.66399771232485]); line([-1.0307262569832,-2.4372319130683],[-1.0307262569832,-2.4372319130683]); line([0.3268156424581,2.5478981984558],[0.3268156424581,2.5478981984558]); line([-2.840782122905,-3.4049185015728],[-2.840782122905,-3.4049185015728]); line([-0.71648044692738,-2.1412639405204],[-0.71648044692738,-2.1412639405204]); line([2.7527932960894,3.0549042036031],[2.7527932960894,3.0549042036031]); line([-1.8477653631285,3.913211323992],[-1.8477653631285,3.913211323992]); line([2.6899441340782,-2.1374034887046],[2.6899441340782,-2.1374034887046]); line([0.50279329608939,4.5],[0.50279329608939,4.5]); line([1.8603351955307,2.664998570203],[1.8603351955307,2.664998570203]); line([-0.33938547486034,3.887474978553],[-0.33938547486034,3.887474978553]);]
Which explanatory variable has a stronger relationship with the response variable
y ?