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I always get the following warning:

LaTeX Font Warning: Font shape `OMS/cmsy/m/n' in size <11.5> not available

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    Welcome! Could you please provide more details, ideally in the form of a complete small document we can compile? (A minimum working example or MWE.) The warning concerns a Computer Modern font, but not one used for text. We need to know what you're trying to do and how you are trying to do it. – cfr Dec 31 '15 at 17:13
  • If it is the main text font you want to set to 11.5pt you are out of luck with the standard classes. But komascript-classes "offer the feature of selection of any desired size for the main document font", cf § 4.8 of the English manual. – Florian Dec 31 '15 at 17:15
  • cmsy is the Computer Modern font containing the calligraphic math letters. First of all this is not Times New Roman and second this font comes only in a few design sizes, which are 5pt, 6pt, 7pt, 8pt, 9pt, and 10pt. – Henri Menke Dec 31 '15 at 19:05
  • I suppose you could use \scalebox from the graphicx package, but that would interfere with line breaking and hyphenation. – John Kormylo Jan 1 '16 at 14:45
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First of all, cmsy doesn't look like Times New Roman. In order to use this exact font, use the mathptmx package (Times font for both text and math formulae). To use any font size, you need to use Koma Script with scrartcl document class.

MWE

Input:

\documentclass[fontsize=11.5pt]{scrartcl}
%if you want both maths and text in Times New Roman :
\usepackage{mathptmx}
%if you only want text in Times New Roman :
%\usepackage{times}
\usepackage{lipsum} %Blind text

\begin{document}
\lipsum[1-3]
$$SE=\sqrt{\frac{1}{n-2}\left[\sum^{n}_{i=1}(y_i-\overline{y})^2-\frac{\Big[\sum^{n}_{i=1}(x_i-\overline{x})(y_i-\overline{y})\Big]^2}{\sum^{n}_{i=1}(x_i-\overline{x})^2}\right]}$$
\lipsum[1-2]
\end{document}

Output with mathptmx:

enter image description here

Output with times:

enter image description here

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