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author | yash1112 | 2017-07-07 21:20:49 +0530 |
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committer | yash1112 | 2017-07-07 21:20:49 +0530 |
commit | 3f52712f806fbd80d66dfdcaff401e5cf94dcca4 (patch) | |
tree | a8333b8187cb44b505b9fe37fc9a7ac8a1711c10 /src/Scilab2C/SCI2CTests/test001_LinearRegression/scilabcode/mainfunction.sci | |
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sci2c arduino updated
Diffstat (limited to 'src/Scilab2C/SCI2CTests/test001_LinearRegression/scilabcode/mainfunction.sci')
-rw-r--r-- | src/Scilab2C/SCI2CTests/test001_LinearRegression/scilabcode/mainfunction.sci | 55 |
1 files changed, 55 insertions, 0 deletions
diff --git a/src/Scilab2C/SCI2CTests/test001_LinearRegression/scilabcode/mainfunction.sci b/src/Scilab2C/SCI2CTests/test001_LinearRegression/scilabcode/mainfunction.sci new file mode 100644 index 0000000..a29a1c9 --- /dev/null +++ b/src/Scilab2C/SCI2CTests/test001_LinearRegression/scilabcode/mainfunction.sci @@ -0,0 +1,55 @@ +//SCI2C: DEFAULT_PRECISION= DOUBLE
+ +function mainfunction()
+ +// Knowing that +// (1) P * (V^gamma) = C +// Where +// P = Pressure +// V = Volume +// gamma,C = constants depending on the particular gas used. +// (2) log10(P) = log10(C) - gamma*log10(V) +// (3) x = log10(V) +// (4) y = log10(P) +// than (2) becomes: +// y = a + b*x; +// Where +// a = log10(C) +// b = -gamma +// Then thanks to this transformation it is possible to perform +// a linear regression to estimate gamma and C! + +Volume = [54.3 61.8 72.4 88.7 118.6 194.0]; +Pressure = [61.2 49.5 37.6 28.4 19.2 10.1]; +x = log10(Volume); +y = log10(Pressure); + +a = (sum(y)*sum(x.^2)-sum(x)*sum(x.*y))./(length(x)*sum(x.^2)-sum(x).*sum(x)); +b = (length(x)*sum(x.*y)-sum(x)*sum(y))./(length(x)*sum(x.^2)-sum(x).*sum(x)); + +// Other way to compute a and b +beq = sum((x-mean(x)).*(y-mean(y)))./sum((x-mean(x)).^2);
+aeq = mean(y)-mean(x)*beq;
+ +C = 10 .^a; +gamma = -b; + +disp('C') +disp(C) + +disp('gamma'); +disp(gamma); + +disp('a'); +disp(a) +disp('aeq'); +disp(aeq) + +disp('b'); +disp(b) +disp('beq'); +disp(beq) + +// plot(Volume,Pressure); +// plot(Volume,(C ./(Volume.^gamma)),'r') +endfunction |