Exponential Regression Using GDC

00:00 3 marks

A researcher collects data resulting in the following points: (1, 2), (2, 4.5) and (3, 9.1). Using a Graphical Data Calculator (GDC), perform an exponential regression to model the data with an equation of the form \(y = ab^x\). Explain the steps needed to obtain the coefficient \(a\) and the base \(b\) as displayed by the calculator.

Hint Hint

Hint

Ensure data points are entered in the correct order and that the GDC is set to exponential regression mode.

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Answer Answer

Complete Answer

Approximately, \(a \approx 0.89\) and \(b \approx 2.25\)

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