Question

Which of the following exponential regression equations best fits the datashown below?

Answer 1

Given a table of values representing exponential regression equation.

The general form of an exponential regression equation is

`y=ab^x`

The graph of the table of values is shown below

Where

`\begin{gathered} a=8.46\text{ \lparen two decimal places\rparen} \\ b=3.51 \end{gathered}`

Substituting for a and b into the general form of an exponential regression equation

`\begin{gathered} y=ab^x \\ y=8.46\cdot3.51^x \end{gathered}`

Hence, the exponential regression equation that best fits the data is

`y=8.46\cdot3.51^x`

Thus, answer is option A