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#87c138fe-e1ab-4a9b-b568-700389a9aacd基础填空题样本数字特征统计与概率

1.一组成对数据(x1(x_{1}y1)y_{1})(x2(x_{2}y2)y_{2})(x3(x_{3}y3)y_{3})\dotsb(xn(x_{n}yn)y_{n})样本中心点为(x,y)(x=1ni=1nxi,y=1ni=1nyi)(\overline{x},\overline{y})(\overline{x}=\frac{1}{n}\sum\limits_{i=1}^{n}{{x}_{i}},\overline{y}=\frac{1}{n}\sum\limits_{i=1}^{n}{{y}_{i}}),由这组数据拟合的线性回归方程为y^=a+bx\hat{y}=a+bx,用最小二乘法求回归方程是为了使((  ))最小.