test_that("Simple Linear Regression Works", {
data("mtcars")
Y <- mtcars$mpg
X <- as.matrix(mtcars[, 2])
X <- cbind(1, X)
Betas <- solve(t(X) %*% X) %*% t(X) %*% Y
expect_equal(round(Betas[1,],5), 37.88458)
expect_equal(round(Betas[2,],5), -2.87579)
})
test_that("Multiple Linear Regression Works", {
data("mtcars")
Y <- mtcars$mpg
Z <- as.matrix(mtcars[, 2:11])
Z <- cbind(1, Z)
Betas2 <- solve(t(Z) %*% Z) %*% t(Z) %*% Y
expect_equal(round(as.numeric(Betas2[1,]),5), 12.30337)
expect_equal(round(as.numeric(Betas2[2,]),5), -0.11144)
expect_equal(round(as.numeric(Betas2[3,]),5), 0.01334)
expect_equal(round(as.numeric(Betas2[4,]),5), -0.02148)
expect_equal(round(as.numeric(Betas2[5,]),5), 0.78711)
expect_equal(round(as.numeric(Betas2[6,]),5), -3.71530)
expect_equal(round(as.numeric(Betas2[7,]),5), 0.82104)
expect_equal(round(as.numeric(Betas2[8,]),5), 0.31776)
expect_equal(round(as.numeric(Betas2[9,]),5), 2.52023)
expect_equal(round(as.numeric(Betas2[10,]),5), 0.65541)
expect_equal(round(as.numeric(Betas2[11,]),5), -0.19942)
})
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