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linear-models-intro

Linear models introduction

Last reviewed Jun 1, 2026 Content v20260601
Track mode
server_script
Means
Server runner
Reading
~1 min
Level
advanced

This lesson

An orientation to the R track—how the compiled playground works, core vocabulary, and what you will practice next.

You need a clear map of the R track so vectors, data frames, factors, and the tidyverse mindset do not feel like magic.

You will apply Linear models introduction in contexts like: A/B tests, regression reports, and biostatistical publications.

Write R in the editor and click Run on server—the dev runner executes with Rscript; use print() or cat() and base R in playground snippets (tidyverse locally; LEARNING_RUNNER_ENABLED=true). Also read the interview prep blocks.

After basic programming and ideally SQL—pair with Python for ML-heavy roles or stay in R for stats and research pipelines.

Fit linear regression with lm() using formula syntax—y ~ x1 + x2. R's formula interface is a core strength vs generic scripting in Python.

Simple regression

df <- data.frame(x = 1:5, y = c(2.1, 4.2, 5.8, 8.1, 10.0))
fit <- lm(y ~ x, data = df)
print(summary(fit))

Coefficients and fitted values

print(coef(fit))
print(fitted(fit))

Important interview questions and answers

  1. Q: Formula y ~ x meaning?
    A: Model y as linear function of x plus intercept—R expands factors automatically.
  2. Q: summary(fit) shows?
    A: Coefficients, standard errors, t-tests, R-squared—diagnostics come next lesson.

Self-check

  1. What function fits linear models?
  2. How access model coefficients?

Tip: Formula y ~ x1 + x2 expands factors automatically—inspect summary(fit) coefficient names.

Interview prep

lm output?

Coefficients, residuals, fitted values, and model call—use summary() for inference.

Interview tip Lesson completion confidence

Can you explain this lesson in 30 seconds without reading notes?

Not saved yet.

Playground

Runs on the configured server runner (dev: npm run runner with LEARNING_RUNNER_ENABLED=true). Output appears below the editor.

Check yourself

Multiple choice — immediate feedback.

Discussion

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Starter discussion topics

  • lm formula read?
  • summary(lm) lines?

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