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Graphic Methods
a.Scatter Diagram: Scatter diagram is a special type of dot chart. Under this methods the given data are plotted in a graph paper in the form of dot. For each pair of or x and y values we plot a dot( or point) and thus we obtain many dots equal in number of observation. If now these plotted dotes or points show some trends either upwards or downwards then the two variables ( x and y) are said to be correlated or otherwise not correlated. If again the trend of points is upwards moving from lower left hand corner to upper right hand corner then correlation is positive ( r=+1) r is coefficient or correlation. On the other hand if movement is reverse i, e, dots move from upper left hand corner to lower right hand corner then correlation is negative (r= -1). The idea will be clear from diagram given below:
Positive Correlation Negative Correlation
In fig (a) the values of the two variable move in the same direction the correlation is positive and r= 1.
In figure (b) we find negative correlation and r= 1 as the values move in reverse direction.
In figures (c) we dont get any trend lying and heance it shows the absence of correlation and r= 0.
Small Sample The central limit theorem does not work well with small samples even if the population in non Gaussian. So we cannot rely on the central limit theorem
advantages of northwest corner method
Solve by simplex method Maximize Z = 5x 1 + 3x 2 Subject to 3x 1 + 5x 2 ≤ 15 5x 1 + 2x 2 ≤ 10 & x 1 ≥ 0, x 2 ≥ 0 [Ans. Max Z = 235/19
regression line drawn as y=c + 1075x, when x was 2, and y was 239, given that y intercept was 11. calculate the residual
Chi Square Test ( X 2 ) Chi Square Test Defined the chi square test is one simplest and most commonly used non parametric tests in statistical work. The Greek letter X 2
In this method variables beings studied are controlled by the investigator. In other the effect of one variable is observed while other relevant variables are held constant
Maximize p = (3)x + 2y subject to 2x + y 3x + 4y >= 12
A company uses 4 pounds of resource 1 to make each unit of X1 and 3 pounds of resource 1 to make each unit of X2. There are only 150 pounds of resource 1 available. Which of the fo
This method involves a systematic and comprehensive study of a particular community organization group etc, with a view to the analysis of a social problem and the presen
explain operation research with example.and also discuss the scope of OR in modern management.
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