using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using S = Science.Statistics.BasicStatistics;

namespace Statistics4Ed.Chapter11.SetE
{
    public class Exercise01
    {
        public Exercise01()
		{
		}
		private string result;
		public string Result
		{
			get{return result;}
		}
        public void Compute()
        {
            S.StandardDeviationAndAverage sd = new S.StandardDeviationAndAverage();
            sd.Average = 63.0;
            sd.StandardDeviation = 2.5;

            S.Variable vari = new S.Variable(sd);
            double su = vari.ToStandardUnit(68.0);
            S.NormalCurve nc = new S.NormalCurve();
            double symArea = nc.AreaBetween(su, -su);
            double percent = (100.0 - symArea) / 2.0 + symArea;
            result += "(a)  "+percent.ToString()+"\r\n";

            S.Regression reg = new S.Regression(68.0, 2.7, 63.0, 2.5, 0.25);
            S.StandardDeviationAndAverage nsd = new S.StandardDeviationAndAverage();
            nsd.Average = reg.PredictedYFromX(72.0);
            nsd.StandardDeviation = reg.RootMeanSquareErrorOfY;

            S.Variable nvari = new S.Variable(nsd);
            double nsu = nvari.ToStandardUnit(68.0);
            S.NormalCurve nnc = new S.NormalCurve();
            double nsymArea = nnc.AreaBetween(nsu, -nsu);
            double npercent = (100.0 - nsymArea) / 2.0 + nsymArea;
            result += "(b)  " + npercent.ToString() + "\r\n";
        }
    }
}
/*
(a)  2.27501319478037
(b)  4.61803598517533
*/