LEARN · EXPLAIN · REVISE

For x=−1,0,1 and y=t,0,t, find the fitted line and explain what it misses.

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 / Transfer#Your turn

t=33

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.

S_{xy}=0,\quad \bar y=2t/3

Worked solution

Use the paired-data summaries, preserving which observations belong together.
Apply the stated relation and retain its conditions.
$b=0,\quad a=66/3$
The zero slope misses a U-shaped relation, so inspect the scatter as well as the line.

The requested relation or conclusion is shown below.

\hat y=66/3

Checks and common pitfalls: The zero slope misses a U-shaped relation, so inspect the scatter as well as the line.

Reasoning checklist · self / teacher assessment

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

Teacher preparation and assessment