{
  "id": "M027",
  "type": "多选题",
  "type_code": "multiple",
  "stem": "某研究员通过最小二乘法估计销售收入y与广告投入费用x的线性回归关系，其线性回归模型为：[[IMG:13_image13.png]]，并进行显著性检验，则下列符合误差项[[IMG:13_image14.png]]假定的是（ ）。",
  "stem_text": "某研究员通过最小二乘法估计销售收入y与广告投入费用x的线性回归关系，其线性回归模型为：[yᵢ = β₀ + β₁xᵢ + εᵢ]，并进行显著性检验，则下列符合误差项[εᵢ]假定的是（ ）。",
  "options": [
    {
      "key": "A",
      "text": "[[IMG:13_image15.png]]"
    },
    {
      "key": "B",
      "text": "[[IMG:13_image16.png]]"
    },
    {
      "key": "C",
      "text": "对于不同的x值，[[IMG:13_image14.png]]的方差相同"
    },
    {
      "key": "D",
      "text": "对于不同的x值，[[IMG:13_image14.png]]的分布不同"
    },
    {
      "key": "E",
      "text": "对于不同的x值，[[IMG:13_image14.png]]之间相互独立"
    }
  ],
  "options_text": [
    {
      "key": "A",
      "text": "[E(εᵢ) = 0]"
    },
    {
      "key": "B",
      "text": "[E(εᵢ) = 1]"
    },
    {
      "key": "C",
      "text": "对于不同的x值，[εᵢ]的方差相同"
    },
    {
      "key": "D",
      "text": "对于不同的x值，[εᵢ]的分布不同"
    },
    {
      "key": "E",
      "text": "对于不同的x值，[εᵢ]之间相互独立"
    }
  ],
  "answer_keys": [
    "A",
    "C",
    "E"
  ],
  "answer_display": "ACE",
  "answer_texts": [
    "[E(εᵢ) = 0]",
    "对于不同的x值，[εᵢ]的方差相同",
    "对于不同的x值，[εᵢ]之间相互独立"
  ],
  "sources": [
    {
      "edition": "第13届",
      "edition_num": 13,
      "no": 71,
      "uid": "13-071",
      "file": "第13届市调大赛本科组模拟题.docx"
    }
  ],
  "source_display": "第13届 第71题",
  "source_count": 1,
  "images": [
    "13_image13.png",
    "13_image14.png",
    "13_image15.png",
    "13_image16.png"
  ],
  "warnings": [],
  "conflict": null,
  "url": "/q/M027.html"
}