数学关于least squares linear regression的题when purchased,an automobile is valued at $1500.Its value depreciates at the rate shown in the table below.Based on a least squares linear regression,what is the value ,to the nearest hundred dollars,o

数学关于least squares linear regression的题when purchased,an automobile is valued at $1500.Its value depreciates at the rate shown in the table below.Based on a least squares linear regression,what is the value ,to the nearest hundred dollars,o
数学关于least squares linear regression的题
when purchased,an automobile is valued at $1500.Its value depreciates at the rate shown in the table below.Based on a least squares linear regression,what is the value ,to the nearest hundred dollars,of the automobile when t=4?
time t 0 1 2 5
(years)
value v(t) 15000 13000 10900 3000
(dollars)
怎么算的怎么算的
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数学关于least squares linear regression的题when purchased,an automobile is valued at $1500.Its value depreciates at the rate shown in the table below.Based on a least squares linear regression,what is the value ,to the nearest hundred dollars,o
最小二乘法拟合数据：
我当时是是把你给的数据（年限和折旧价）输入绘图分析软件Origin,然后让它自动拟合的,所以很快得出结果了.
如果要自己算的话,也不难,公式是：
(t的各数值平方和)*a+(v的各数值平方和)*b=(各v*t数值积之和)
(t求和)*a+nb=(v求和) 其中n是数据量
对于本题,n=4
然后解上面这两式组成的一元二次方程组就行了,所得的a、b就是系数：
v=at+b
就是有点繁,所以我没手算.
算出来了 5600$
v＝15332.14286－2428.57143t
当t=4时,有 v=5617.85714≈5600