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

[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

[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