Solving Nonlinear Regression Problems in R with nls Function
To solve the problem of finding the values of p1 to p10 that satisfy the nonlinear regression model, we can use the nls function in R.
Here is the corrected code:
# Create a multiplication table of probabilities p <- outer(dice_probs$prob, dice_probs$prob) # Calculate X as a matrix of zeros and ones g <- c(outer(1:10, 1:10, "+")) X <- +outer(2:20, g, "==") # Define the nonlinear regression model model <- nls(prob ~ X %*% kronecker(p, p), data = dice_sum_probs_summary, algorithm = "port", start = list(p = sqrt(dice_sum_probs_summary$prob[seq(1, 19, 2)])), lower = numeric(10), upper = rep(1, 10)) # Print the results print(model) This code first creates a multiplication table of probabilities using outer.
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