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authorpriyanka2015-06-24 15:03:17 +0530
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+//Example 1.60://standard deviation
+clc;
+clear;
+u1=[1.8,4.6,6.6,9.0,11.4,13.4];//
+v1=[2.2,3.2,5.2,6.4,8.0,10.0];//
+for i= 1:6
+ m(i)= u1(i)*v1(i)
+ d(i)= u1(i)^2;//
+end
+su= u1(1)+u1(2)+u1(3)+u1(4)+u1(5)+u1(6);
+sv= v1(1)+v1(2)+v1(3)+v1(4)+v1(5)+v1(6);
+sm=m(1)+m(2)+m(3)+m(4)+m(5)+m(6);//
+sd=d(1)+d(2)+d(3)+d(4)+d(5)+d(6);//
+a= ((6*sm)-(su*sv))/((6*sd)-(su)^2);//
+b=((sv*sd)-(sm*su))/((6*sd)-(su)^2);//
+disp(a,"variable a is")
+disp(b,"variable b is")
+disp("best linear equation is 0.672u+0.591")
+for i=1:6
+ x(i)=a*u1(i)+b-v1(i)
+ dx(i)=x(i)^2
+end
+sdx=dx(1)+dx(2)+dx(3)+dx(4)+dx(5)+dx(6);//
+SD= sqrt(sdx/6);//
+SDu=SD/a;//deviation of u
+SDa= sqrt((6)/((6*sd)-(su^2)))*SD;//standard deviation in a
+SDb= sqrt((sd)/((6*sd)-(su^2)))*SD;//standard deviation in b
+disp(SD,"standard deviation is ±")
+disp(SDu,"standard deviation in u is ±")
+disp(SDa,"standard deviation in a is ±")
+disp(SDb,"standard deviation in b is ±")