LEARN · EXPLAIN · REVISE

For x=−1,0,1 and y=−t,0,t, find the least-squares slope.

Read the idea, work independently, then explain what changed.

TOPIC 01

Statistical analysis of paired data: mixed review

A mixed assessment: identify the method, justify it and revise your reasoning.

Use one hint at a time. A correction explains what changed, not just the final answer.

01 / Standard#Your turn

t=27

Sxx>0; extrapolation beyond observed x needs separate justification and predictions are not certain outcomes.

Skills and prerequisite lessons

Working and explanation

BUILD THE REASONING

Hint 1

Use the paired-data summaries, preserving which observations belong together.

Hint 2

Use this intermediate relation.

\bar x=\bar y=0

Worked solution

The requested value is 27.

Checks and common pitfalls: Preserve the paired order when calculating products.

Think first. Reveal a hint when the class is ready.

Teacher preparation and assessment