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This calculator is for fitting exponential curve of the type y=ae^bx. Very detailed step by step calculation is provided.
INSTRUCTION: Use ',' or new line to separate between values
$$ No $$ | $$ Y $$ | $$ y $$ |
---|---|---|
$$ 1 $$ | $$ 520 $$ | $$ 6.253829 $$ |
$$ 2 $$ | $$ 266 $$ | $$ 5.583496 $$ |
$$ 3 $$ | $$ 567 $$ | $$ 6.340359 $$ |
$$ 4 $$ | $$ 4149 $$ | $$ 8.330623 $$ |
$$ 5 $$ | $$ 6212 $$ | $$ 8.734238 $$ |
$$ 6 $$ | $$ 9973 $$ | $$ 9.207637 $$ |
$$ 7 $$ | $$ 11894 $$ | $$ 9.383789 $$ |
$$ 8 $$ | $$ 45000 $$ | $$ 10.714418 $$ |
$$ Total $$ | $$ $$ | $$ 64.548389 $$ |
$$ No $$ | $$ x_{i} $$ | $$ y_{i} $$ | $$ (x_{i} - \bar{x}) $$ | $$ (y_{i} - \bar{y}) $$ | $$ (x_{i} - \bar{x})*(y_{i} - \bar{y}) $$ | $$ (x_{i} - \bar{x})^2 $$ |
---|---|---|---|---|---|---|
$$ 1 $$ | $$ 4 $$ | $$ 6.253829 $$ | $$ -3.5 $$ | $$ -1.81472 $$ | $$ 6.35152 $$ | $$ 12.25 $$ |
$$ 2 $$ | $$ 5 $$ | $$ 5.583496 $$ | $$ -2.5 $$ | $$ -2.485053 $$ | $$ 6.212633 $$ | $$ 6.25 $$ |
$$ 3 $$ | $$ 6 $$ | $$ 6.340359 $$ | $$ -1.5 $$ | $$ -1.72819 $$ | $$ 2.592285 $$ | $$ 2.25 $$ |
$$ 4 $$ | $$ 7 $$ | $$ 8.330623 $$ | $$ -0.5 $$ | $$ 0.262074 $$ | $$ -0.131037 $$ | $$ 0.25 $$ |
$$ 5 $$ | $$ 8 $$ | $$ 8.734238 $$ | $$ 0.5 $$ | $$ 0.665689 $$ | $$ 0.332844 $$ | $$ 0.25 $$ |
$$ 6 $$ | $$ 9 $$ | $$ 9.207637 $$ | $$ 1.5 $$ | $$ 1.139088 $$ | $$ 1.708632 $$ | $$ 2.25 $$ |
$$ 7 $$ | $$ 10 $$ | $$ 9.383789 $$ | $$ 2.5 $$ | $$ 1.31524 $$ | $$ 3.2881 $$ | $$ 6.25 $$ |
$$ 8 $$ | $$ 11 $$ | $$ 10.714418 $$ | $$ 3.5 $$ | $$ 2.645869 $$ | $$ 9.260541 $$ | $$ 12.25 $$ |
$$ Total $$ | $$ $$ | $$ $$ | $$ $$ | $$ $$ | $$ 29.615518 $$ | $$ 42.0 $$ |