Question

write an exponential regression equation for the following data, rounding all coefficients to the nearest hundredth.
copy values for calculator
open statistics calculator

Explanation:

Step1: Use a calculator's exponential - regression function

Most scientific calculators or statistical software (like Excel, R, Python's Sci - Py) have an exponential - regression feature. Enter the \(x\) - values (\(3,4,7,8,12\)) and the corresponding \(y\) - values (\(149,165,199,210,243\)) into the calculator or software.

Step2: Obtain the coefficients

The general form of an exponential regression equation is \(y = ab^{x}\), where \(a\) and \(b\) are coefficients. After running the exponential - regression analysis, we get \(a\approx104.97\) and \(b\approx1.07\).

Answer:

\(y = 104.97\times1.07^{x}\)