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 \(y\)

\(x\)	\(2\)	\(4\)	\(6\)	\(8\)
\(y\)	\(8\)	\(32\)	\(72\)	\(128\)

(a)2 marks

Apply the stated transformation to the missing explanatory values

\(x\)	\(2\)	\(4\)	\(6\)	\(8\)
\(y\)	\(8\)	\(32\)	\(72\)	\(128\)
\(x^2\)	4	16	?	?

\(x^2\) when x = 6 \(x^2\) when x = 8

(b)1 mark

Has this transformation linearised the data?

Yes. All successive transformed slopes are equal

No. The successive transformed slopes are not all equal