Abstract: The mathematical model of test statistics F_a(f_1,f_2) on the complete initiative of modern study way is establisted.Sample survey and analysis of variance indicate that as two major intensions and key elements,interest and responsibility influence the study effect extremely.A sample equation on regression line:(y)DD(-*2^=0.425 5+(0.059x_1)+0.080x_2-0.089x_3,shows that the independent learning ability (y) is associated with the independent learning desire (x_1),chance (x_2) and grade (x_3).The correlative...