The accompanying table shows the number of bacteria present in a certain culture over a 5 hour period, where x is the time, in hours, and y is the number of bacteriaWrite an exponential regression equation for this set of data, rounding all coefficients to the nearest thousandth Hours (x ) Bacteria (y) 01140 11405 21639 3 1868 4 2000 5 2381
To find an exponential regression equation for this set of data, we will use a graphing calculator or a statistical software. The exponential regression equation in the form y = ab^x, where a is the initial value of the bacteria population and b is the growth factor.
Using the provided data, we first input the data into a graphing calculator and perform an exponential regression. The exponential regression equation we obtain is approximately:
y = 1082.244 * 1.198^x
Rounded to the nearest thousandth, the exponential regression equation for the given data set is:
y = 1082.244 * 1.198^x