Polynomial regression is a type of regression analysis in which the relationship between the independent variable x and the dependent variable y is modeled as an nth-degree polynomial. In R, you can perform polynomial regression using the lm() function, which fits a linear model.
Here’s an example of how to perform polynomial regression in R:
Suppose we have the following data:
x <- c(1, 2, 3, 4, 5)
y <- c(2, 6, 9, 10, 12)
We can fit a second-degree polynomial regression model using the lm() function as follows:
model <- lm(y ~ poly(x, 2, raw=TRUE))
In this case, poly(x, 2, raw=TRUE) creates a matrix of the predictors, where the columns are x raised to the power of 0, 1, and 2 (i.e., the intercept, x, and x^2). The raw=TRUE argument specifies that the predictors should not be standardized.
We can then use the summary() function to obtain the model summary:
summary(model)
This will output a summary of the model, including the coefficients, standard errors, t-values, and p-values for each predictor.
We can also use the predict() function to make predictions based on the model:
new_x <- seq(1, 5, length.out=100)
new_y <- predict(model, newdata=data.frame(x=new_x))
This will generate 100 new values of x and use the model to predict the corresponding values of y.
Finally, we can use the ggplot2 package to visualize the data and the fitted model:
library(ggplot2)
df <- data.frame(x, y, new_x, new_y)
ggplot(df, aes(x, y)) +
geom_point() +
geom_line(aes(x=new_x, y=new_y), color="blue")
This will create a scatter plot of the data points, overlaid with a blue line representing the fitted model.
I want to learn R
Please
prednisone 5mg over the counter: http://prednisone1st.store/# prednisone 20mg prescription cost
Hi! I could have sworn Iíve been to your blog before but after looking at some of the posts I realized itís new to me. Regardless, Iím certainly delighted I discovered it and Iíll be book-marking it and checking back regularly!
mectizan stromectol 1 ivermectin dosage for dogs
Hi! This is my first visit to your blog! We are a collection of volunteersand starting a new initiative in a community in the same niche.Your blog provided us beneficial information to work on. You have done a outstanding job!my blog :: 우리카지노계열
Dear pyoflife.com webmaster, You always provide key takeaways and summaries.
Muchos Gracias for your blog article.Thanks Again. Keep writing.
Hello pyoflife.com admin, Thanks for the comprehensive post!
fantastic post, very informative. I wonder why the other experts of this sector do not notice this. You should continue your writing. I am confident, you have a great readers’ base already!
I am interested in more information. How can I contact you?
A motivating discussion is worth comment. I believe that you ought to write more on this subject matter, it might not be a taboo matter but generally folks don’t speak about such topics. To the next! Cheers!!
Why people still make use of to read news papers when in this technological globe the whole thing is existingon net?