1 of 8 0-day streak

Apply a transformation to one variable

Question 1 of 8

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The explanatory variable is temperature (°C), symbol T; the response variable is reaction rate (units), symbol r. Requested operation: reciprocal of the explanatory variable temperature only, symbol T

The two variables are temperature and reaction rate. The table lists the observed paired values before the one-axis change

The named axis is the explanatory axis: temperature

temperature (°C)	reaction rate (units)
\(2\)	\(47.8\)
\(8\)	\(49.15\)
\(10\)	\(48.2\)
\(50\)	\(49.76\)

(a)1 mark

Which named variable supplies the transformed coordinate?

apply the reciprocal to reaction rate on the response axis only and leave temperature unchanged

apply the reciprocal to both axes, changing temperature and reaction rate

apply the reciprocal to temperature on the explanatory axis only and leave reaction rate unchanged

(b)2 marks

Find the blank entries on the new transformed axis

temperature (°C)	reaction rate (units)	reciprocal of temperature
\(2\)	\(47.8\)	?
\(8\)	\(49.15\)	\(0.125\)
\(10\)	\(48.2\)	\(0.1\)
\(50\)	\(49.76\)	?

\(\frac{1}{T}\) when temperature = 2 \(\frac{1}{T}\) when temperature = 50

How should the changed axis be written?

T

r

\frac{1}{T}