retrieve response variable values from reduced variation by conditioned redundancy analysis in r

In order to retrieve the response variable values from reduced variation by conditioned redundancy analysis in R, you can use the predict function after fitting the regression model.

Assuming you have a data frame data containing your response variable y and your explanatory variables x1, x2, x3, you can perform conditioned redundancy analysis using the rda function from the vegan package as follows:

main.r
library(vegan)
fit <- rda(data[, c("x1", "x2", "x3")], y)
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Once you've fit the model, you can use the predict function to get predicted values of the response variable for any new data:

main.r
new_data <- data.frame(x1 = c(1, 2), x2 = c(3, 4), x3 = c(5, 6))
predicted_y <- predict(fit, newdata = new_data)
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This will give you a vector of predicted values for the response variable y based on the new data in new_data. You can also use the predict function to get predicted values for the training data by omitting the newdata argument.