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use regression to find an exponential equation that best fits the data above. the eq
( y = a b ^ { x } ) where:
( a = )
( b = )
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Step1: Use a calculator or software for exponential regression
Input the \(x\) - values (\(1,2,3,4,5,6\)) and \(y\) - values (\(926,1185,1429,1775,2205,2503\)) into a calculator or statistical software that can perform exponential regression (\(y = ab^{x}\)).
Step2: Obtain the values of \(a\) and \(b\)
After running the exponential regression, we get the values of \(a\) and \(b\).
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\(a = 698.7\) (approximate value, may vary slightly depending on the tool used for regression), \(b = 1.25\) (approximate value, may vary slightly depending on the tool used for regression)