Please answer every parts and include the R code if possible

Q2.Least Squares Estimation & Matrix Computation [28pts 10, 6, 6, 6] Suppose now our regression model only includes the slope term, 31, that is, =le, + ,-,Where ESENW, 0'2), t' = 1, 2. A. Find the least squares estimate of 1 (191) for such a model that minimize SSE. You need to clearly show all reasonable steps to receive full credits. [Hint] Try to minimize L = 231 sf as we did in class. B. Assume we collect 4 data points (xi, yi): (1,0), (1 ,,3) (2,6), (3,10). Now we want to formulize them with the above model (slope only mode1)' 1n the form of matrix computation. For example, y= X B + E. Clearly type down X and [1' as matrices in your R Markdown report. You should provide all the elements and the matrix dimensions forX and B. No need to provide 3! and" 8. [Note] I taught in my live sessions how to type a matrix in R MarkdownfLaTeX or you can google it. C. Find the value of the least squares estimate b1 by performing matrix computation: B (X' X) 1X'y. You are allowed to use R for the matrix computation or calculate it manually D. Please use lm( ) function' 1n R to nd the value of hi for the slope only model. Show the R codes and R output. Your answer should be exactly the same as the answer in part C