A Text book On the Method of Least Squares
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X, Observed^.
Computed^.
V, 1786.5 -63.5 +S°.42 5°.28 + 0.14 1810.5 -39-5 4-77 5-25 — 0.48 1824.5 -25-5 5-75 5.60 + 0.15 1829.0 — 21.0 6.05 5-76 + 0.29 1859.6 + 9-6 7.29 7-34 — 0.05 1867.6 + 17-6 7.82 7.84 — 0.02 1879.6 + 29.6 8-57 8-59 — 0.02 The sum of the squares of these residuals is 0.36, and hence, by (32), • = 0.6745 V -^ = 0.19, '^ 7 — 3 which gives the probable error of a single computed value if the observations be regarded as exact, or the probable error of an observation if the law ...expressed in the empirical formula be regarded as exact.
* See the numerous valuable papers by Schott, in the Reports of the United States Coast and Geodetic Survey, the latest of which is in the Report for 1882, pp. 211-276. The above formula for the declination is the one there adopted, as giving the best value of the period m.
138 INDEPENDENT OBSERVATIONS.
VII.
III. Lastly, consider the deduction of a formula to represent certain experiments, made by Darcy and Bazin, on the flow of water in a rectangular wooden trough lined with cement.
What to read after A Text book On the Method of Least Squares?
You can find similar books in the "Read Also" column, or choose other free books by Mansfield Merriman to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
X, Observed^.
Computed^.
V, 1786.5 -63.5 +S°.42 5°.28 + 0.14 1810.5 -39-5 4-77 5-25 — 0.48 1824.5 -25-5 5-75 5.60 + 0.15 1829.0 — 21.0 6.05 5-76 + 0.29 1859.6 + 9-6 7.29 7-34 — 0.05 1867.6 + 17-6 7.82 7.84 — 0.02 1879.6 + 29.6 8-57 8-59 — 0.02 The sum of the squares of these residuals is 0.36, and hence, by (32), • = 0.6745 V -^ = 0.19, '^ 7 — 3 which gives the probable error of a single computed value if the observations be regarded as exact, or the probable error of an observation if the law ...expressed in the empirical formula be regarded as exact.
* See the numerous valuable papers by Schott, in the Reports of the United States Coast and Geodetic Survey, the latest of which is in the Report for 1882, pp. 211-276. The above formula for the declination is the one there adopted, as giving the best value of the period m.
138 INDEPENDENT OBSERVATIONS.
VII.
III. Lastly, consider the deduction of a formula to represent certain experiments, made by Darcy and Bazin, on the flow of water in a rectangular wooden trough lined with cement.
What to read after A Text book On the Method of Least Squares?
You can find similar books in the "Read Also" column, or choose other free books by Mansfield Merriman to read onlineMoreLess
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