1 of 8 0-day streak

Square and reciprocal data transformations

Question 1 of 8

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The table gives explanatory values \(x\) and response values \(y\)

\(x\)	\(1\)	\(2\)	\(3\)	\(4\)
\(y\)	\(7\)	\(112\)	\(567\)	\(1792\)

(a)3 marks

Calculate each blank on the new horizontal scale

\(x\)	\(1\)	\(2\)	\(3\)	\(4\)
\(y\)	\(7\)	\(112\)	\(567\)	\(1792\)
\(x^2\)	1	?	?	?

\(x^2\) when x = 2 \(x^2\) when x = 3 \(x^2\) when x = 4

(b)1 mark

Decide whether the transformed relationship is linear

Yes. All successive transformed slopes are equal

No. The successive transformed slopes are not all equal