DIY History | Transcribe | Scholarship at Iowa | Theory of least squares applied to the problems arising in our observatory by Arthur George Smith, 1895 | Theory of Least Squares Applied to the Problems Arising in our Observatory by Arthur George Smith, 1895, Page 70

Transcribe
Translate

Theory of least squares applied to the problems arising in our observatory by Arthur George Smith, 1895

Theory of Least Squares Applied to the Problems Arising in our Observatory by Arthur George Smith, 1895, Page 70

[page]65[/page]

     The weighted [?m?] most probable mean of the entire set of observations as in the problem regarding the azimuth screw, page [?21; P?] here having only the argument 1/([?symbol?][?delta?][superscript]2[/superscript]) .   The residuals and their squares found between the various readings and this weighted mean are given upon page 68.   The error of the weighted mean are found as before.

E[subscript][?0?][/subscript] = +- 0[superscript]in.[/superscript].0008

R[subscript]0[/subscript] = +- 0[superscript]in.[/superscript].00054

     This gives as the most probable value of the distance between the wires A and [strikethrough]A[/strikethrough] G   0[superscript]in.[/superscript].227 +- 0[superscript]in.[/superscript].00054
or [?from?] wires A to B 0[superscript]in.[/superscript].0377 +- 0[superscript]in.[/superscript].00015
     The focal length of the instrument may now be determined

Saving...

[page]65[/page] The weighted [?m?] most probable mean of the entire set of observations as in the problem regarding the azimuth screw, page [?21; P?] here having only the argument 1/([?symbol?][?delta?][superscript]2[/superscript]) . The residuals and their squares found between the various readings and this weighted mean are given upon page 68. The error of the weighted mean are found as before. E[subscript][?0?][/subscript] = +- 0[superscript]in.[/superscript].0008 R[subscript]0[/subscript] = +- 0[superscript]in.[/superscript].00054 This gives as the most probable value of the distance between the wires A and [strikethrough]A[/strikethrough] G 0[superscript]in.[/superscript].227 +- 0[superscript]in.[/superscript].00054 or [?from?] wires A to B 0[superscript]in.[/superscript].0377 +- 0[superscript]in.[/superscript].00015 The focal length of the instrument may now be determined