题干

在物理实验中,为了研究所挂物体的重量x对弹簧长度y的影响.某学生通过实验测量得到物体的重量与弹簧长度的对比表:

物体重量(单位g)

1

2

3

4

5

弹簧长度(单位cm)

1.5

3

4

5

6.5

参考公式:

①.样本数据x1,x2,…xn的标准差

s=

1
n
[(x1−x¯)2+(x2−x¯)2+...+(xn−x¯)2] ,其中 x¯ 为样本的平均数;

②.线性回归方程系数公式 b^ =

∑−¯−¯∑−¯
i
=
1
n
(
x
i
x
)
(
y
i
y
)
i
=
1
n
(
x
1
x
)
2
= ∑−⋅¯⋅¯∑−¯
i
=
1
n
x
1
y
1
n
x
y
i
=
1
n
x
i
2
n
x
2
, a^ = y¯ ﹣ b^ x¯ .

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答案(点此获取答案解析)

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