--%>
Assignment Help - homework help

Problem on Vectors

Create a vector representing x coordinates of a measurement with 20 points between 0 and 10. Create another vector y representing fake measurements which are related to the above x values as y = 2.3 x – 1.2. Next add random (normal, Gaussian) noise to the vector y. Plot on the same graph both versions of vector y in different colors. Next use attached linregr.m function to find a least square fit (linear regression) for your fake experimental data.

E

Expert

Verified

Calculations:

x=0:0.5:10;

y = 2.3*x - 1.2;

x1=x.^2;

xvar=mean(x1)-((mean(x)).^2);

xstd=sqrt(xvar);

noise= 1/(sqrt(2*pi*xstd))*exp(-((x-mean(x)).^2)/(2*xvar));

y1=y+noise

plot(x,y,x,y1,'g');

legend('Normal Y vector','Noise additive Y vector');

XLABEL('x')

YLABEL('Normal Y vector=2.3*x-1.2')

[a, r2]= linregr(x,y);


Results:

502_2013a.jpg


Least square fit Results gives the Least regression for the fake experimental results a = vector of slope, a(1)- → 2.3, and intercept a(2)-→ -1.2
r2 = coefficient of determination = 1

 

2061_2013b.jpg

   Related Questions in Programming Languages

  • Q : Explain Upcast Upcast: It is a cast

    Upcast: It is a cast towards an object's ultimate super type - which is, `up' the inheritance hierarchy towards the Object class, for example:         // Upcast from VariableContr

    		•
  • Q : Create an applet of bounces in JAVA

    Create an applet that bounces a blue ball inside an applet using Thread.  The ball (diameter is 10) will start at position (0,0).  When the ball hits the edge of the applet, the ball should bounce off the edge at a randomly selected angle between 20 and 60 d

    		•
  • Q : Database management information system

    How much would it cost to create a simple database management information system by utilizing MySQL and PHP?The proposal of the system should include the following: Background narrative of setting and background of problem m

    		•
  • Q : Define Thread Thread : It is a

    Thread: It is a lightweight procedure which is managed by the Java Virtual Machine (abbreviated as JVM). Support for threads is given by the Thread class in java.lang package.

    		•
  • Q : Describe Overriding for restriction

    Overriding for restriction: It is a form of method overriding in which the sub-class version of a method calls the super-class version first of all and then employs or manipulates the outcome or consequences of that call in some manner.

    		•
  • Q : State Space Reduction in Java PathFinder

    State Space Reduction: JPF is a so-called explicit-state model checker, as it enumerates all visited states, and therefore suffers from the state explosion problem inherent in analyzing large programs. It also contains garbage collection, because a ty

    		•
  • Q : Type promotion rule Q. Explain type

    Q. Explain type conversion rules for basic data types in java. Ans. Type promotion rule: Java automatically each bits or short operant to int when evaluating an expression. As usual as the automatic promotion

    		•
  • Q : Maximum clock frequency of the circuit

    What do you mean by the term set up time and hold time constraints? Explain what do they mean? Which one is vital for estimating the maximum clock frequency of the circuit?

    		•
  • Q : What is an Implicit type conversion

    Implicit type conversion: The type conversion which does not need a cast. Implicit type conversions usually do not comprise any loss of information. For example, joining an integer operand with a floating point operand in an arithmetic expression will

    		•
  • Q : Define Keyword Keyword : They are

    Keyword: They are reserve word containing special meaning of the language and cannot be employed as identifier.

    		•