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Linear Regression and Correlation — HS Statistics practice questions

12 multiple-choice questions and 8 flashcards on Linear Regression and Correlation, about 8% of the HS Statistics bank. Every one carries a written rationale.

Written and maintained by Nick Burton · last updated 2026-08-22 · how we write and review questions

What this chapter covers

Linear Regression and Correlation is one of 7 chapters in CoStudy's HS Statistics bank, and it holds 12 of the bank's 150 multiple-choice questions — roughly 8% of the total. That proportion is not arbitrary: chapters follow the certifying body's published exam outline, and the number of questions in each is set by that domain's published weight, so the share of your practice time this chapter takes matches the share of the real exam it accounts for.

Studying by chapter is worth doing once you have a diagnostic score. A single overall percentage tells you whether you are close; it does not tell you which domain is dragging. Working a weak chapter in isolation, and re-testing it in isolation, is the fastest way to move a score that has stalled — and it is why the mock exams in CoStudy report by domain rather than as one number.

Free Linear Regression and Correlation practice questions

3 questions drawn from this chapter, with the full rationale shown — the controlling principle behind the right answer, and why each wrong option tempts and fails.

A p-value of 0.03 with significance level α = 0.05 leads you to:

  1. Conclude the null hypothesis is true
  2. Accept the null hypothesis
  3. Reject the null hypothesis
  4. Conclude the effect size is large

Answer: C — Reject the null hypothesis

C) p < α → reject the null at the chosen level. A) Hypothesis testing never "proves" the null. B) We fail to reject (not the same as accept) only when p ≥ α. D) p-value measures evidence strength, not effect size.

A correlation coefficient of -0.85 indicates:

  1. Strong negative linear relationship between two variables (close to -1)
  2. Weak negative
  3. Strong positive
  4. No correlation
  5. Causation

Answer: A — Strong negative linear relationship between two variables (close to -1)

Correlation r: -1 (perfect negative) to +1 (perfect positive). |r| > 0.8 generally 'strong.' Sign indicates direction. CORRELATION ≠ CAUSATION (key principle). Lurking variables can confuse interpretation.

Binomial distribution applies when:

  1. Any random variable
  2. Fixed number of independent trials, each with two outcomes (success/failure) and constant probability p of success
  3. Continuous data
  4. Normal data only
  5. Always n=1

Answer: B — Fixed number of independent trials, each with two outcomes (success/failure) and constant probability p of success

Binomial assumptions: BINS — Binary outcome, Independent trials, fixed N, same probability p (Success). P(X=k) = C(n,k)p^k(1-p)^(n-k). Mean np, SD √(np(1-p)).

Linear Regression and Correlation flashcards

1 cards from the 8 in this chapter.

Sampling methods?

Simple random, stratified, cluster, systematic, convenience. Random methods produce unbiased samples.

Practise the full chapter

These are a sample. The full Linear Regression and Correlation chapter runs 20 items with per-chapter progress tracking, on the web and in the iOS app.

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Other HS Statistics chapters

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