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It's not really clear what you're asking from all the notation. &nbsp;I assume by MSE, you're referring to mean square error? &nbsp;MSE is a very general term... &nbsp;but the title of your question is multiple linear regression. &nbsp;So are you referring to a regression concept (like the standard error of the estimate?) &nbsp;S(y0) could refer to the standard deviation of y or predicted y, and S(y0)*S(y0) the variance, but it's unclear from what you're asking. &nbsp;<br />
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Could you clarify your notation? &nbsp;And perhaps state the purpose behind this question? &nbsp;That will help in answering it. &nbsp;In what context do you need an answer? &nbsp;Is this being used in a web app somehow?
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It's not really clear what you're asking from all the notation.  I assume by MSE, you're referring to mean square error?  MSE is a very general term...  but the title of your question is multiple linear regression.  So are you referring to a regression concept (like the standard error of the estimate?)  S(y0) could refer to the standard deviation of y or predicted y, and S(y0)*S(y0) the variance, but it's unclear from what you're asking.  

Could you clarify your notation?  And perhaps state the purpose behind this question?  That will help in answering it.  In what context do you need an answer?  Is this being used in a web app somehow?

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My science calculator can calculate the MSE value of a Quadraic equation only. But I need to find out the S(d0)(=Root(S(y0)*S(y0)+MS<wbr />E). If I get the value of MSE, in normal, what value will be the S(y0)*S(y0)? This means if the value of S(y0)*S(y0) is normally 1/3 or 1/4 (or other number) of MSE, then, I can estimate my S(d0).
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My science calculator can calculate the MSE value of a Quadraic equation only. But I need to find out the S(d0)(=Root(S(y0)*S(y0)+MSE). If I get the value of MSE, in normal, what value will be the S(y0)*S(y0)? This means if the value of S(y0)*S(y0) is normally 1/3 or 1/4 (or other number) of MSE, then, I can estimate my S(d0).

Multiple linear regression

Programming theory deals with the design, implementation, analysis, characterization, and classification of programming languages and their individual features, along with introductory programming concepts like program structure, variable declaration and conditional and looping constructs. Sub-disciplines include the formal semantics of programming languages, type theory, program analysis and transformation, comparative programming language analysis, metaprogramming, domain-specific languages, compiler construction and run-time systems.