多元非线性回归分析 函数模型的表达式说明.htm

很不错的非线性回归分析程序

</span>14 mod 5=4<o:p></o:p></span></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:
8.0pt;font-family:宋体;mso-font-kerning:0pt'><span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp; </span>^<span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><span
style='font-size:9.0pt;mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:
0pt;mso-ansi-language:ZH-CN'>指数</span><span lang=EN-US style='font-size:9.0pt;
mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:0pt'><span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>x^y<span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp; </span></span><span
style='font-size:9.0pt;mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:
0pt;mso-ansi-language:ZH-CN'>或者</span><span lang=EN-US style='font-size:9.0pt;
mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:0pt'>:<span
style="mso-spacerun: yes">&nbsp; </span>power(x,y)<span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>2^3=8<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:
8.0pt;font-family:宋体;mso-font-kerning:0pt'><span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>; x&lt;0</span><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'>时</span><span
lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:8.0pt;font-family:宋体;
mso-font-kerning:0pt'>,y</span><span style='font-size:9.0pt;mso-bidi-font-size:
8.0pt;font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'>必须为整数</span><span
lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:8.0pt;font-family:宋体;
mso-font-kerning:0pt'><o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:
8.0pt;font-family:宋体;mso-font-kerning:0pt'><span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>; x=0</span><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'>时</span><span
lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:8.0pt;font-family:宋体;
mso-font-kerning:0pt'>,y&gt;0<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:
8.0pt;font-family:宋体;mso-font-kerning:0pt'><![if !supportEmptyParas]>&nbsp;<![endif]><o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:
8.0pt;font-family:宋体;mso-font-kerning:0pt'><span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp; </span>Max<span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><span style='font-size:9.0pt;
mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:
ZH-CN'>最大值</span><span lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:
8.0pt;font-family:宋体;mso-font-kerning:0pt'><span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>Max(x,y)<span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>Max(3,4)=4<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:
8.0pt;font-family:宋体;mso-font-kerning:0pt'><span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp; </span>Min<span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><span style='font-size:9.0pt;
mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:
ZH-CN'>最小值</span><span lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:
8.0pt;font-family:宋体;mso-font-kerning:0pt'><span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>Min(x,y)<span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>Min(3,4)=3<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:
8.0pt;font-family:宋体;mso-font-kerning:0pt'><span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp; </span></span><span style='font-size:9.0pt;mso-bidi-font-size:
8.0pt;font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'>Sqr<span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>平方<span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>Sqr(x)<span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>Sqr(3)=9<span style="mso-spacerun: yes">&nbsp; </span>//注意平方和开方的函数名称<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp; </span>Sqrt<span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp; </span>开方<span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>Sqrt(x)<span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp; </span>;
x&gt;=0<span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>Sqrt(3)=1.73205080756888<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><![if !supportEmptyParas]>&nbsp;<![endif]><o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp; </span>Sin<span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>正弦<span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>Sin(x)<span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>Sin(pi/6)=0.5<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp; </span>Cos<span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>余弦<span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>Cos(x)<span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>Cos(0)=1<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp; </span>Tan<span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>正切<span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>Tan(x)<span style="mso-spacerun: yes">&nbsp;&nbsp; </span>或者: tg(x)<span
style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>Tan(pi/4)=1<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;
font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'><span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp; </span></span><span lang=EN-US
style='font-size:9.0pt;mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:
0pt'>ArcSin<span style="mso-spacerun: yes">&nbsp;&nbsp; </span></span><span
style='font-size:9.0pt;mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:
0pt;mso-ansi-language:ZH-CN'>反正弦</span><span lang=EN-US style='font-size:9.0pt;
mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:0pt'><span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>ArcSin(x) </span><span
style='font-size:9.0pt;mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:
0pt;mso-ansi-language:ZH-CN'>或者</span><span lang=EN-US style='font-size:9.0pt;
mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:0pt'>: ASin(x)<span
style="mso-spacerun: yes">&nbsp; </span>; -1&lt;=x&lt;=1<span
style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>ArcSin(1)=1.5707963267949=pi/2<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:
8.0pt;font-family:宋体;mso-font-kerning:0pt'><span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp; </span>ArcCos<span style="mso-spacerun:
yes">&nbsp;&nbsp; </span></span><span style='font-size:9.0pt;mso-bidi-font-size:
8.0pt;font-family:宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'>反余弦</span><span
lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:8.0pt;font-family:宋体;
mso-font-kerning:0pt'><span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>ArcCos(x) </span><span
style='font-size:9.0pt;mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:
0pt;mso-ansi-language:ZH-CN'>或者</span><span lang=EN-US style='font-size:9.0pt;
mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:0pt'>: ACos(x)<span
style="mso-spacerun: yes">&nbsp; </span>; -1&lt;=x&lt;=1<span
style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>ArcCos(0)=1<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:
8.0pt;font-family:宋体;mso-font-kerning:0pt'><span style="mso-spacerun:
yes">&nbsp;&nbsp; </span><span style="mso-spacerun:
yes">&nbsp;</span>ArcTan<span style="mso-spacerun: yes">&nbsp;&nbsp; </span></span><span
style='font-size:9.0pt;mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:
0pt;mso-ansi-language:ZH-CN'>反正切</span><span lang=EN-US style='font-size:9.0pt;
mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:0pt'><span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>Arctan(x) </span><span
style='font-size:9.0pt;mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:
0pt;mso-ansi-language:ZH-CN'>或者</span><span lang=EN-US style='font-size:9.0pt;
mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:0pt'>: ATan(x)</span><span
style='font-size:9.0pt;mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:
0pt;mso-ansi-language:ZH-CN'>、</span><span lang=EN-US style='font-size:9.0pt;
mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:0pt'>Atn(x)</span><span
style='font-size:9.0pt;mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:
0pt;mso-ansi-language:ZH-CN'>、</span><span lang=EN-US style='font-size:9.0pt;
mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:0pt'>Arctg(x)<span
style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;
</span>Arctan(1)=0.785398163397448=pi/4<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:
8.0pt;font-family:宋体;mso-font-kerning:0pt'><span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp; </span>ArcTan2<span style="mso-spacerun: yes">&nbsp;
</span></span><span style='font-size:9.0pt;mso-bidi-font-size:8.0pt;font-family:
宋体;mso-font-kerning:0pt;mso-ansi-language:ZH-CN'>反正切</span><span lang=EN-US
style='font-size:9.0pt;mso-bidi-font-size:8.0pt;font-family:宋体;mso-font-kerning:
0pt'>2<span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;
</span>Arctan2(y,x)<span style="mso-spacerun:
yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>Arctan2(2,1)=1.10714871779409<o:p></o:p></span></p>

<p class=MsoNormal align=left style='text-align:left;mso-layout-grid-align:
none;text-autospace:none'><span lang=EN-US style='font-size:9.0pt;mso-bidi-font-size:
8.0pt;font-family:宋体;mso-font-kerning:0pt'><![if !supportEmptyParas]>&nbsp;<![endif]><o:p></o:p></span></p>