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WEEK 8 · INDEPENDENT PRACTICE

Correlation 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

Compute Pearson r for X=[1,2,3], Y=[2,4,6]; state one limitation.

TASK 2 · 5 MARKS

Question 2

Discuss how an outlier could change r and what a scatterplot reveals.

TASK 3 · 5 MARKS

Question 3

Identify a confounder if motivation affects both study hours and scores.

TASK 4 · 5 MARKS

Question 4

Compare Pearson and Spearman and write a carefully bounded finding.

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. What is r if Y=2X?
2. What does r=0 not rule out?
3. Does correlation prove causality?
4. What does Spearman use?