question 3 1 pts\nwhat is the exponential regression equation for the data set?\n\nx 1 3 3 5 4 8 11\ny 56 44…

Explanation:

Step1: Recall exponential regression form

The general form of an exponential regression equation is $y = ab^{x}$, where $a$ is the initial - value and $b$ is the base.

Step2: Analyze the data trend

As $x$ increases, $y$ decreases. This indicates that $0 < b<1$.

Step3: Evaluate options

In the equation $y = ab^{x}$, when $x = 0$, $y=a$. Also, for an exponential decay function, the base $b$ should be between 0 and 1. For the option $y = 99.07\cdot0.68^{x}$, $a = 99.07$ and $b = 0.68$ which satisfies the condition of an exponential decay (as $0<0.68 < 1$).

Answer:

$y = 99.07\cdot0.68^{x}$