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WEEK 9 · INDEPENDENT PRACTICE

Regression worksheet

Four first-year problems and a shared 20-mark rubric.

4 × 5 = 20 marks30–45 minutesNo R prerequisite

Show your reasoning and explicitly state limitations. Written solutions are assessed by an instructor; the answer key is kept private.

Written problem set

TASK 1 · 5 MARKS

Question 1

Fit the line through (1,5),(2,8),(3,11); predict at x=2.5.

TASK 2 · 5 MARKS

Question 2

Compute the residual when predicted=70 and observed=75.

TASK 3 · 5 MARKS

Question 3

Describe the risk of predicting x=20 from an observed x range 1–3.

TASK 4 · 5 MARKS

Question 4

Interpret R²=0.70 without a causal claim.

Scoring

Each task: concept 2, application/calculation 2, bounded interpretation 1. Not official UCL marking.

Formative self-check · 4 questions

These multiple-choice answers offer public learning feedback; the instructor's written-solution key remains private.

1. For y=2+3x, prediction at x=2.5?
2. How do we calculate a residual?
3. Name for prediction beyond observed x?
4. Does R-squared demonstrate causality?