如何使该区域在曲线下或R中不可或缺
我有一个曲线作为下面的数据，我想计算x和y点所做的曲线曲线（积分）下的区域。以下方式做正确吗？我如何在特定间隔内计算曲线下的区域，而不知道曲线的功能？ 我将使用重复测量的每个人使用其余数据重复此操作。另外，我需要计算曲线下的面积和第二个导数值。我应该这样做吗？ 谢谢您的建议。
structure(list(x = c("76.37", "76.89", "77.36", "77.86", "78.86",
"79.37", "79.87", "80.36", "80.5", "81.2"),
y = c("2.1", "2.29", "2.47", "2.65", "2.82", "2.99", "3.16", "3.31", "3.46", "3.5")),
class = c("tbl_df", "tbl", "data.frame"), row.names = c(NA,-10L))
library(pracma)
AUC = trapz(data$x,data$y)
I have a curve as the data below and I would like to calculate the area under the curve (integral) of this curve made by x and y points. Is it correct to do in the way below? and how can I calculate the area under the curve within a specific interval without knowing the function of curve?
I am going to repeat this with the rest of my data for each individual with repeated measurements. Also, I need to calculate the area under the curve for the first and second derivative values. should I do the same?
Thank you for your advice.
structure(list(x = c("76.37", "76.89", "77.36", "77.86", "78.86",
"79.37", "79.87", "80.36", "80.5", "81.2"),
y = c("2.1", "2.29", "2.47", "2.65", "2.82", "2.99", "3.16", "3.31", "3.46", "3.5")),
class = c("tbl_df", "tbl", "data.frame"), row.names = c(NA,-10L))
library(pracma)
AUC = trapz(data$x,data$y)
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您可以使用线性插值来近似
actoffun，请注意，该区域的粗略近似可产生接近此数的数字。假设该区域是梯形。
You could approximate the function thus use
approxfunwith a linear interpolationNote that a rough approximation of the area yields a number closer to this. This assumes the region is trapezoidal.