https://mathmanstudio.com/categories/%E6%95%B8%E6%93%9A%E5%88%86%E6%9E%90/Recent content in 數據分析 on MathManStudio.comHugozh-TWTue, 14 Jul 2026 20:34:43 +0800https://mathmanstudio.com/posts/114%E9%AB%98%E4%B8%AD%E6%95%B8%E5%AD%B8%E5%AD%B8%E6%B8%AC%E6%95%B8a%E5%A4%9A%E9%81%B812/Tue, 14 Jul 2026 20:34:43 +0800https://mathmanstudio.com/posts/114%E9%AB%98%E4%B8%AD%E6%95%B8%E5%AD%B8%E5%AD%B8%E6%B8%AC%E6%95%B8a%E5%A4%9A%E9%81%B812/<p><img loading="lazy" src="https://mathmanstudio.com/wp-content/uploads/2026/07/%E6%88%AA%E5%9C%96-2026-07-14-%E6%99%9A%E4%B8%8A7.34.51-1024x562.png"></p> <p>(1)合金拆成甲乙兩部分，加起來是100%。</p> <p>$$ x_k+u_k=100\quad (k=1,2&hellip;20) $$</p> <p>(2)奈米轉成微米要除以1000。</p> <p>$$ \frac{y_k}{1000}=v_k,\quad y_k=1000v_k\quad (k=1,2&hellip;20) $$</p> <p>(3)根據</p> <p>$$ u_k=-x_k+100 $$</p> <p>所以</p> <p>$$ \sigma_u=|-1|\times\sigma_x $$ $$ \sigma_u=\sigma_x $$</p> <p>(4)利用前式</p> <p>$$ x=100-u及y=1000v\quad代入迴歸式y=21.3x-40 $$</p> <p>解得</p> <p>$$ ｖ＝-0.0213u+2.09 $$ $$ a=-0.0213,b=2.09 $$</p> <p>（5）新加入的點在迴歸直線上，殘差平方和為0，迴歸直線不會改變。</p>