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write a function that computes and returns the sum of the squared errors between the computed values for y and your observed values of y

INSTRUCTIONS TO CANDIDATES
ANSWER ALL QUESTIONS

Assignment 1: R and Linear Regression

Note: This assignment can be completed using the following R functions: sum(), mean(), and length()

1. Using the following vectors, build a function that will generate the �0 and �1 values using the Linear Regression formulas. (25%)

x=c(1,5,7,9,10,22)

y=c(22.2,33.4,45.7,50.2,55.9,89.1)

The function should have the following format:

linear_regression<-function(x,y){

[insert your code here] }

and should return a vector (betas) with two data points c(�0, �1).

2. Using the betas you generated, make a new prediction for the value of y, given the value of x is 40. (25%)

3. Write a function that computes and returns the sum of the squared errors between the computed values for y and your observed values of y. (25%)

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