Pearson's Correlation Coefficient

Quiz Details

Topics covered

  • Q 1 Past HSC Questions- By Topic - Pearson's Correlation Coefficient

  • Q 2 Past HSC Questions- By Topic - Pearson's Correlation Coefficient

  • Q 3 Past HSC Questions- By Topic - Pearson's Correlation Coefficient

  • Q 4 Past HSC Questions- By Topic - Pearson's Correlation Coefficient

Question 1
HSC 2015 - Question 28e (External Link) Show Question
Answer

(i) Refer to graph

(ii) 14cm

(iii) A correlation coefficient of 1 is not possible

Worked Solution

\(\textbf{i)}\)

\(\textbf{ii)}\)

\begin{aligned}\text{From the graph }& 7.5 \rightarrow 160 \text{ cm and } 9 \rightarrow 174 \text{ cm} \\\therefore \text { Difference }&=174-160 \\&=14 \text{ cm}\end{aligned}

\(\textbf{iii)}\)

A correlation coefficient of 1 indicates that a straight line including all the points.
\(\therefore\) the correlation coefficient of 1 is not possible.

Question 2
HSC 2019 - Question 23 (External Link) Show Question
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Question 3
HSC 2016 - Question 29d (External Link) Show Question
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Question 4
HSC 2017 - Question 30d (External Link) Show Question
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