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Fit a second degree parabolic curve to the following data:
written 7.9 years ago by | • modified 4.1 years ago |
Data :
x | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
---|---|---|---|---|---|---|---|---|---|
y | 2 | 6 | 7 | 8 | 10 | 11 | 11 | 10 | 9 |
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written 7.9 years ago by | • modified 4.1 years ago |
Data :
x | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
---|---|---|---|---|---|---|---|---|---|
y | 2 | 6 | 7 | 8 | 10 | 11 | 11 | 10 | 9 |
written 7.9 years ago by |
We write X such that $ \sum X=0 $ . Here N=9 (odd)
x | $X_i$ | $Y_i$ | $X_i^2$ | $X_i^3$ | $X_i^4$ | $X_iY_i$ | $X_i^2Y_i$ |
---|---|---|---|---|---|---|---|
1 | -4 | 2 | 16 | -64 | 256 | -8 | 32 |
2 | -3 | 6 | 9 | -27 | 81 | -8 | 54 |
3 | -2 | 7 | 4 | -8 | 16 | -14 | 28 |
4 | -1 | 8 | 1 | -1 … |