SOLUTION: x 1 2 3 4 5 6 y 914 1186 1380 1653 1940 2347 Use regression to find an exponential equation that best fits the data above. The equation has form y = a b x where:

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: x 1 2 3 4 5 6 y 914 1186 1380 1653 1940 2347 Use regression to find an exponential equation that best fits the data above. The equation has form y = a b x where:       Log On


   

Question 1204606: x 1 2 3 4 5 6
y 914 1186 1380 1653 1940 2347

Use regression to find an exponential equation that best fits the data above. The equation has form
y
=
a
b
x
where:
a =

b =

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
i used the curve fit calculator at https://stats.blue/Stats_Suite/exponential_regression_calculator.html

here's what the results looked like.





regression equation is y = 791.6107 * 1.1997^x

r = .997
r^2 = .9941

here's a pretty decent reference on the meaning of r and r^2.
it applies to a linear model, but means the same in any type of curve fitting model, as far as i know.

https://www.statology.org/r-vs-r-squared/

since r^2 is the square of r, it stands to reason that a strong correlation leads to a high percentage of variation explained by the data.