Easily solve Curve fitting Straight line y=ax+b very good example(PART-1)

fit a straight line y is equal to ax plus B for the following data X Y is given X is 1 3 4 6 8 9 11 14 and why is it 1 2 4 4 5 7 8 9 fit a straight line okay now solution the normal equations for this 15 okay for the fitting the straight line the straight line is given Y is equal to ax plus P not taking summation in this equation means summation Y is equal to a summation X plus summation B means young times B means n B take M so summation B means up to M times B so is a n B and next in this equation is you multiply by X and I can you take summation summation x X X Y and a summation X square plus B is outside summation X ok now finding the parameter a and B find a and B values I substitute in this equation and number of x and y values are 1 2 3 4 5 6 7 8 and the N is equal to 8 now construct a table in a table we require a Y X X Y and X way the relevant table is ok so require summation X added summation Y summation XY XY and summation X square now first X these are x and y x into y multiplication 1 6 16 24 for the 6388 1:26 and actually is a summation experiments x-square column requirements this is square one nine 1636 64 80 120 196 now take summation X summation X is equal to now add it is a 56 now summation Y is equal to add it is a 40 now summation XY is equal to now add it this is 364 and summation X square is equal to total is 524 now these values are substitute in normal equation this is called a normal normal equation now substitute X Y summation XY by summation X summation y mx explain substitute in normal equation now equation is like this in normal equations become is a summation y means summation was a 14 okay now 40 is equal to a summation X is 56 and Jana B n means totally 8:00 means 8:00 be okay now second equation summation XY is a 364 is equal to is a summation X square is a 524 a plus summation X is 56 B now solving this one solving by using calculator okay by using calculator Chelsey calculator now we have a is equal to a is equal to zero point six three six three six three it's continuing means approximately zero point six four and B is equal to zero point five four five four five four approximately is it zero point five five now a and B this a values and B values substitute in this equation okay now subject thus by substituting these values Y is equal to ax plus B equation becomes he say Y is equal to a means what 0.64 x plus bj 0.55 this is a required solution

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Keywords: Engineering Mathematics 3, curve fitting least square method, curve fitting example, curve fitting online, curve fitting ppt, curve fitting definition, curve fitting matlab, nonlinear curve fitting matlab, exponential curve fitting matlab, how to open curve fitting toolbox matlab, curve fitting formula, polynomial curve fitting excel, excel exponential curve fitting, curve fitting excel, How to find curve fitting, Easy maths, 18mat41

Id: 1iJGLcP__s0

Length: 5min 22sec (322 seconds)

Published: Sun Nov 05 2017