Question

•       What is the general form of an exponential growth model?

•       Are all exponential models linear?

•       What is in the general form for a linear model: ?

•       What is in the exponential model?

•       When is the association negative in an exponential growth model?

•       What do exponential models predict?

Answer 1

(1)

General form of an exponential growth model is given by:

,

where

a> 0

either 0 < b < 1

OR

b > 1

and x is any real number.

(2)

Answer is:

No

(3)

General form of a linear model:

where

y = set of outcome variables

x = set of pre-program variables

b₀ = set of intercepts

b = set of coefficients

e = error

(4)

Exponential model is exhibited in the increase in number at a constantly growth rate.

(5)

The association is negative in an exponential growth model when 0 < a< 1. We call the model as exponential decay. In this case, the graph moves towards the x axis as x increases. The graph is decreasing when a< 1.

(6)
Exponential models predict the variable, such as population of a country, during a period when the growth of the variable is continuous.