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1、实验数据如下表所示:砝码质量(mg)0100200300400500增码0.000.190.380.560.750.96U(mV)减码0.030.220.400.590.780.96砝码质量(mg)6007008009001000增码1.151.341.531.721.90U(mV)减码1.161.341.531.721.90砝码质量(mg)0100200300400500增码0.000.130.270.400.540.68U(mV)减码0.000.140.270.410.550.68砝码质量(mg)6007008009001000增码0.800.931.071.271.35U(mV)减码0.
2、800.931.081.271.35四组实验数据分别用最小二乘法线性拟合后的图像如下图所示:mvUmgm99990r00320m0.0013UV57E99990r00140m0.0013UV.57E00001r02910m0.0019UV010E0.9999r00320m0.0019UV010E00000单位是,单位是上述各式中,相关系数:,减砝码时电源电压,相关系数:,增砝码时电源电压,相关系数:,减砝码时电源电压,相关系数:,增砝码时电源电压.:.:.:.:.NV190NVk1091100019099990r0320m00190UV010E40 /./.:,.:.得此时灵敏度为:相关系数,
3、增砝码时电源电压mg474169gm190000320290.的物体:代入方程,得待测质量0.19V/NkV/N10.91100019000001r02910m00190UV010E40 .,.,.得此时灵敏度为:相关系数减砝码时:电源电压mg316137gm1900002910290.的物体:代入方程,得待测质量0.13V/NkV/N10.311013.0099990r00140m00130UV57E40 得此时灵敏度为:相关系数:,增砝码时:电源电压.,.mg308170gm1300000140220.的物体:代入方程,得待测质量0.13V/NkV/N10.311013.00099990r00320m00130UV57E40 得此时灵敏度为:相关系数:减砝码时:电源电压.,.,.mg769166gm1300000320220.的物体:代入方程,得待测质量 %.%.).().().().(.89mg3.815mg67.9160m89100mg967160mg8315 mmumumg8315mumg8395.1gm3967160769166967160308170967160316137967160474169mg967160mg4769166308170316137474169r2222故所以:待测物体质量的标准差:待测物体质量的平均值