鉴于我可以访问 R 的“摘要”输出，如何在 Excel 中从 R 复制预测函数

Question

I have run a 3rd order polynomial regression in R and have run the "summary" function, but I need to be able to replicate the "predict" function in Excel. I have my current working code below. Thank you for your help!

#Have access to this output:
AICFit <- lm(R60 ~ poly(M20, 3) + poly(M40, 3), data = mydata)
summary(AICFit)

#do not have access to output: 
predict(AICFit,data.frame(M20=0.972375241,M40=0.989086129,interval ="prediction")

Basically, I don't have access to R when I have access to these numbers: 0.972375241,0.989086129.

I believe this is the equation that is the basis for the predict function, but I don't know how to compute this in Excel incorporating order 1, 2 and 3:

Answer 1

You do not have enough information from summary to calculate the prediction interval in Excel.

So the simple answer is - it is not possible to do it without an access to variance-covariance matrix (however for orthogonal polynomials in your model it is diagonal) and raw data. Moreover you need to extract orthogonal polynomial coefficients themselves, which are generated recursively and uniquely for each dataset you are fitting.

The formula you are referencing is for the univariate linear regression and it is not applicable for your case where you are doing multivariate polynomial regression for two variables: M20 and M40 .