Question

1. round your answers to 3 decimal places.

use regression to find an exponential equation that best fits ( y = a b ^ { x } ) where:
( a = )
( b = )

Explanation:

Step1: Input data into regression tool

Input the \(x\) - values (\(1,2,3,4,5,6\)) and \(y\) - values (\(1314,2113,3754,6036,10929,17414\)) into a statistical software or a graphing calculator with an exponential regression function.

Step2: Obtain regression results

Using the exponential regression formula \(y = ab^{x}\), the software/calculator will calculate the values of \(a\) and \(b\).

Answer:

\(a = 765.737\), \(b = 1.716\)