@@ -22,7 +22,7 @@ points(x_vec_2,mock_vec, col="red", type="p")

 conrel =function(b) b

 quarel =function(x,a,m,b) a*x**2 + m*x+b

-reso = 10  #the resolution

+reso = 50  #the resolution

 a_vec = seq(-4,4,length.out = reso)

 m_vec = seq(-4,8,length.out = reso)

 b_vec = seq(-2,2,length.out = reso)

@@ -46,13 +46,25 @@ for (i in (1:length(b_vec))){

 		}

 	}

 }

-

+#find min

 minimum_qua=min(qua_arr)

 best_m_qua = m_vec[which(qua_arr == minimum_qua,arr.ind=TRUE)[2]]

 best_b_qua = b_vec[which(qua_arr == minimum_qua,arr.ind=TRUE)[1]]

 best_a_qua = a_vec[which(qua_arr == minimum_qua,arr.ind=TRUE)[3]]

+points(x_vec, quarel(x_vec,best_a_qua,best_m_qua,best_b_qua), type="l", col="red", xlab='x',ylab='f(x)=y')

+

 minimum_lin=min(lin_arr)

 best_m_lin = m_vec[which(lin_arr == minimum_lin,arr.ind=TRUE)[2]]

 best_b_lin = b_vec[which(lin_arr == minimum_lin,arr.ind=TRUE)[1]]

+points(x_vec, linrel(x_vec,best_m_lin,best_b_lin), type="l", col="blue", xlab='x',ylab='f(x)=y')

 minimum_con=min(lin_arr)

 best_b_con = b_vec[which(con_arr == minimum_con,arr.ind=TRUE)[1]]

+points(x_vec, rep(conrel(best_b_lin),41), type="l", col="yellow", xlab='x',ylab='f(x)=y')

+

+#Probelm3

+norm = function(a) 1/sum(a) * a

+

+posterior_qua =  exp(-0.5 *(norm(qua_arr) - minimum_qua))

+posterior_lin =  exp(-0.5 *(norm(lin_arr) - minimum_lin))

+posterior_con =  exp(-0.5 *(norm(con_arr) - minimum_con))

+