回归分析方程关系演示

回归分析方程关系演示
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2014-08-12 11:21
所属专题 Complex Math
①本范例演示回归分析方程Y=XB+e的地理关系;②涉及核心数学概念包括线性回归、数据拟合、误差分析;③作图要点:运用Polygon、Mirror、Angle、Point、Segment、Line、OrthogonalLine、Vector、Translate、Intersect、Rotate、CircleArc、Circle等GeoGebra命令构建几何模型;④适合高中及以上数学学习者和数据分析初学者使用。

GeoGebra 命令及参数

  1. Polygon(A, B, Y, D) → poly1, a, b, c, d
  2. Polygon(D, B, A) → poly2, a_1, d_1, b_1
  3. Mirror(D, a) → D'
  4. Mirror(B, a) → B'
  5. Mirror(A, a) → A'
  6. Polygon(D', B', A') → poly2', a', d', b'
  7. Polygon(A, B, Y) → poly3, c_1, a_2, b_2
  8. Angle(b', d) → α
  9. Angle(Y, B, A) → β
  10. Point(a) → E
  11. Segment(Y, E) → e
  12. Angle(Y, A, D) → γ
  13. Angle(e, a) → δ
  14. Polygon(C, F, G) → poly4, g, c_2, f
  15. Line(H, b_1) → h
  16. Line(I, a_1) → i
  17. Point(h) → J
  18. Point(h) → K
  19. Segment(J, K) → j
  20. Point(i) → L
  21. Point(i) → M
  22. Segment(L, M) → k
  23. Segment(N, O) → l
  24. Segment(P, Q) → m
  25. OrthogonalLine(R, xAxis) → n
  26. Mirror(P, n) → P'
  27. Mirror(Q, n) → Q'
  28. Segment(P', Q') → m'
  29. Mirror(N, n) → N'
  30. Mirror(O, n) → O'
  31. Segment(N', O') → l'
  32. Vector(T, U) → u
  33. Translate(A, u) → A'_1
  34. Translate(B, u) → B'_1
  35. Translate(Y, u) → Y'
  36. Polygon(A'_1, B'_1, Y') → poly3', y', a'_1, b'_1
  37. Vector(V, W) → v
  38. Translate(F, v) → F'
  39. Translate(G, v) → G'
  40. Segment(F', G') → p
  41. Segment(G', G) → q
  42. Vector(Z, A_1) → w
  43. Translate(L, w) → L'
  44. Translate(M, w) → M'
  45. Segment(L', M') → k'
  46. Vector(B_1, C_1) → s
  47. Translate(J, s) → J'
  48. Translate(K, s) → K'
  49. Segment(J', K') → j'
  50. Vector(D_1, E_1) → t
  51. Translate(B, t) → B'_2
  52. Translate(A, t) → A'_2
  53. Segment(B'_2, A'_2) → e_1
  54. Intersect(g, f) → F_1
  55. Segment(A, E) → f_1
  56. Intersect(y', b'_1) → G_1
  57. Segment(Y, G_1) → g_1
  58. Line(H_1, f) → h_1
  59. Line(I_1, f) → i_1
  60. Line(J_1, f) → j_1
  61. Point(h_1) → K_1
  62. Segment(K_1, H_1) → k_1
  63. Point(i_1) → L_1
  64. Point(j_1) → M_1
  65. Segment(L_1, M_1) → l_1
  66. Point(i_1) → N_1
  67. Point(k_1) → O_1
  68. Segment(N_1, O_1) → m_1
  69. Point(j_1) → P_1
  70. Segment(O_1, P_1) → n_1
  71. Rotate(O_1, 90*°, O_1) → Q_1
  72. Rotate(P_1, -90*°, P_1) → S_1
  73. Segment(N_1, P_1) → q_1
  74. Rotate(N_1, 22*°, N_1) → T_1
  75. Rotate(P_1, 22*°, N_1) → U_1
  76. Segment(T_1, U_1) → r_1
  77. Rotate(P_1, -88*°, P_1) → V_1
  78. Rotate(O_1, -85*°, P_1) → W_1
  79. Rotate(P_1, -85*°, P_1) → Z_1
  80. Segment(Z_1, U_1) → p_1
  81. Segment(E, Q_1) → s_1
  82. Intersect(y', a'_1) → R_1
  83. Intersect(a'_1, b'_1) → A_2
  84. Segment(Y, B_2) → t_1
  85. Segment(Q_1, C_2) → d_2
  86. Point(i_1) → D_2
  87. Point(d_2) → F_2
  88. Segment(A, G_2) → g_2
  89. Vector(H_2, Z_1) → u_1
  90. Vector(I_2, Q_1) → v_1
  91. Vector(J_2, T_1) → w_1
  92. Vector(K_2, L_2) → u_2
  93. Vector(M_2, N_2) → v_2
  94. Intersect(j, k) → O_2
  95. Intersect(k', j') → P_2
  96. Point(g_2) → Q_2
  97. Vector(O_2, Q_2) → w_2
  98. Point(k) → R_2
  99. Point(k) → S_2
  100. Vector(R_2, S_2) → h_2
  101. Segment(G', F_1) → i_2
  102. Segment(F', T_2) → r
  103. Segment(F_1, T_2) → j_2
  104. Point(i_2) → x_j
  105. Segment(E, x_j) → k_2
  106. Segment(U_2, V_2) → l_2
  107. Segment(W_2, Z_2) → m_2
  108. Segment(A_3, B_3) → n_2
  109. Segment(C_3, D_3) → p_2
  110. Segment(W_2, E_3) → q_2
  111. Intersect(m_2, n_2) → F_3
  112. Point(p_2) → G_3
  113. Segment(F_3, G_3) → r_2
  114. CircleArc(Z_1, U_1, Q_1) → s_2
  115. Vector(H_3, I_3) → u_3
  116. CircleArc(T_1, Z_1, U_1) → t_2
  117. Segment(Z_1, M_1) → e_2
  118. Point(p) → E_2
  119. Segment(K_3, L_3) → f_2
  120. Line(M_3, f_2) → a_3
  121. Mirror(K_3, a_3) → N_3
  122. Mirror(L_3, a_3) → O_3
  123. Segment(N_3, O_3) → b_3
  124. Vector(Y, Z_1) → v_3
  125. Segment(D_3, E_3) → c_3
  126. Point(q_2) → P_3
  127. Segment(B_3, P_3) → d_3
  128. Point(p_2) → Q_3
  129. Segment(B_3, Q_3) → e_3
  130. Point(q_2) → R_3
  131. CircleArc(P_3, R_3, B_3) → g_3
  132. Point(q_2) → S_3
  133. CircleArc(S_3, P_3, R_3) → f_3
  134. Segment(P_3, R_3) → h_3
  135. Segment(R_3, Q_3) → i_3
  136. Segment(R_3, T_3) → j_3
  137. Segment(P_3, E_3) → k_3
  138. Circle(V_3, W_3) → p_3
  139. Circle(Q_1, Z_3) → q_3

AI 绘图提示语参考

画一个演示线性回归分析方程Y=XB+e的图形,包含多个多边形和几何对象,展示数据拟合和误差分析。首先绘制两个对称的多边形,然后通过镜像和旋转操作创建新的几何对象。接着,利用角度和向量计算,添加误差线和平行线,最后通过平移操作展示方程的变换关系,整体呈现线性回归的地理关系。
以上提示语为根据原始绘图命令整理而来,仅供参考。