Easy · Statistics & Statistical Inference · Numerical · ~4 min · #101

Best-Fit Line Through Three Points

Real interview · Squarepoint Capital

A pair $(x, y)$ is equally likely to be $(0, 0)$ , $(0, 1)$ or $(1, 1)$ . What is the slope of the least-squares line predicting $y$ from $x$ ?

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Worked solution

Give the problem an honest attempt first, then reveal the full explanation.

Reported in interviews

Squarepoint CapitalGlassdoor interview question

Candidate-reported and unverified; the firm may phrase it differently or no longer ask it. The wording here is our own paraphrase, and the solution was written and checked independently of any answers posted at the source.

Concepts

Least squaresConditional means

Relevant for

Quant ResearcherDesk Quant