added challenger case study to 15

15_challenger-logistic/.ipynb_checkpoints/15_logistic-regression_challenger-checkpoint.ipynb

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+{
+ "cells": [],
+ "metadata": {},
+ "nbformat": 4,
+ "nbformat_minor": 2
+}

15_challenger-logistic/Newtint.m

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+function yint = Newtint(x,y,xx)
+% Newtint: Newton interpolating polynomial
+% yint = Newtint(x,y,xx): Uses an (n - 1)-order Newton
+%   interpolating polynomial based on n data points (x, y)
+%   to determine a value of the dependent variable (yint)
+%   at a given value of the independent variable, xx.
+% input:
+%   x = independent variable
+%   y = dependent variable
+%   xx = value of independent variable at which
+%        interpolation is calculated
+% output:
+%   yint = interpolated value of dependent variable
+
+% compute the finite divided differences in the form of a
+% difference table
+n = length(x);
+if length(y)~=n, error('x and y must be same length'); end
+b = zeros(n,n);
+% assign dependent variables to the first column of b.
+b(:,1) = y(:); % the (:) ensures that y is a column vector.
+for j = 2:n
+  for i = 1:n-j+1
+    b(i,j) = (b(i+1,j-1)-b(i,j-1))/(x(i+j-1)-x(i));
+  end
+end
+%b
+% use the finite divided differences to interpolate
+xt = 1;
+yint = b(1,1);
+for j = 1:n-1
+  xt = xt*(xx-x(j));
+  yint = yint+b(1,j+1)*xt;
+end

15_challenger-logistic/challenger_oring.csv

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+Flight#,Temp,O-Ring Problem
+1,53,1
+2,57,1
+3,58,1
+4,63,1
+5,66,0
+6,66.8,0
+7,67,0
+8,67.2,0
+9,68,0
+10,69,0
+11,69.8,1
+12,69.8,0
+13,70.2,1
+14,70.2,0
+15,72,0
+16,73,0
+17,75,0
+18,75,1
+19,75.8,0
+20,76.2,0
+21,78,0
+22,79,0
+23,81,0