It looks like you've uploaded a photo of a problem related to fitting an exponential model to data. The data you provided has the form:

• $x = 1, 2, 3, 4, 5, 6$
• $y = 1309, 2156, 3516, 5728, 9723, 16335$

The question asks you to find an exponential equation in the form $y = ab^x$ using regression.

To solve this:

1. Apply logarithmic transformation: To transform the exponential model into a linear one, take the natural logarithm of both sides of the equation $y = ab^x$: $\ln(y) = \ln(a) + x\ln(b)$ This results in a linear equation $\ln(y) = c + d x$, where $c = \ln(a)$ and $d = \ln(b)$.

2. Transform the data: Calculate $\ln(y)$ for each corresponding $y$-value:

   • For $y = 1309$, $\ln(1309)$
   • For $y = 2156$, $\ln(2156)$
   • And so on for the other values.

3. Perform linear regression: Use the transformed data ($x$ and $\ln(y)$) to find the linear regression coefficients. These coefficients will give you $c$ and $d$.

4. Back-substitute to find $a$ and $b$:

   • $a = e^c$
   • $b = e^d$

Would you like me to go ahead and compute these values for you step-by-step?