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| author | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
|---|---|---|
| committer | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
| commit | 7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 (patch) | |
| tree | dbb9e3ddb5fc829e7c5c7e6be99b2c4ba356132c /260/CH7/EX7.6/7_6.sce | |
| parent | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (diff) | |
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initial commit / add all books
Diffstat (limited to '260/CH7/EX7.6/7_6.sce')
| -rw-r--r-- | 260/CH7/EX7.6/7_6.sce | 58 |
1 files changed, 58 insertions, 0 deletions
diff --git a/260/CH7/EX7.6/7_6.sce b/260/CH7/EX7.6/7_6.sce new file mode 100644 index 000000000..d338b27f4 --- /dev/null +++ b/260/CH7/EX7.6/7_6.sce @@ -0,0 +1,58 @@ +//Eg-7.6
+//pg-345
+
+clear
+clc
+close()
+
+x = [10 20 30 40 50 60];
+y = [35 37 38 39 41 43];
+
+m = length(x);
+n = 2; //since we have 2 variables
+
+//Using S for summation eg: Sx2y => summation(x^2*y)
+
+Sx = sum(x);
+
+Sx2 = sum(x.^2);
+
+Sx3 = sum(x.^3);
+
+Sx4 = sum(x.^4);
+
+Sy = sum(y);
+
+Sxy = sum(x.*y);
+
+Sx2y = sum((x.^2).*y);
+
+a(1,1) = Sx2 - (Sx)^2/m;
+a(1,2) = Sx3 - Sx*Sx2/m;
+a(2,1) = Sx3 - Sx2*Sx/m;
+a(2,2) = Sx4 - Sx2^2/m;
+
+c(1,1) = Sxy - Sx*Sy/m;
+c(2,1) = Sx2y - Sx2*Sy/m;
+
+
+b = inv(a)*c;
+
+
+//The coefficient 'alpha' can be obtained from equaiton 'alpha' = Sy/m - (b(1)*Sx + b(2)*Sx2)/m ;
+
+alpha = Sy/m - (b(1)*Sx + b(2)*Sx2)/m ;
+
+printf('\nThe coefficent alpha = %f\n',alpha)
+
+printf('\nThe lease square polynomial of second order is, thus \n M = %f + (%f)*v + (%f)*v^2\n\n',alpha,b(1),b(2))
+
+deff('out = func(in)','out = alpha + b(1)*in + b(2)*in^2')
+
+printf('The fit of the polynomial is shown in the figure\n')
+
+plot(x,y,'bo')
+plot(x,func(x))
+legend('data points given','polynomial got by regression')
+xlabel('v,kmph')
+ylabel('M,kmpl')
\ No newline at end of file |