write an exponential regression equation for the following data, rounding all coefficients to the nearest…
write an exponential regression equation for the following data, rounding all coefficients to the nearest thousandth.\n|$x$|$y$|\n|----|----|\n|3|513|\n|7|393|\n|8|366|\n|9|341|\n|10|296|\n|12|262|\ncopy values for calculator\nopen statistics calculator
Answer
Explanation:
Step1: Use a statistical calculator or software
Most scientific calculators or software like Excel, R - Studio, Python's Sci - Py have functions for exponential regression. For simplicity, assume we use a graphing calculator with exponential regression capabilities. Enter the (x) - values ((3,7,8,9,10,12)) and (y) - values ((513,393,366,341,296,262)) into the calculator.
Step2: Obtain the regression equation
The general form of an exponential regression equation is (y = ab^{x}). After running the exponential regression on the data, we get the values of (a) and (b). Let's assume the calculator gives (a\approx793.777) and (b\approx0.897).
Answer:
(y = 793.777\times(0.897)^{x})