Question

for an exponential regression equation in the form y=ab^x , a value of 0.944 for b will cause y to get smaller as x gets larger. true false

Answer 1

Given:

a statement is given as below

"for an exponential regression equation in the form y=a(b^x) , a value of 0.944 for b will cause y to get smaller as x gets larger"

Find:

we have to find whether the given statement is True or False.

Explanation:

Let us find some value of b^x for b = 0.9 and for x = 1, 2, 3, 4.......as following

$\begin{gathered} (0.944)^1=0.9 \\ (0.944)^2=0.891136 \\ (0.944)^3=0.841232384 \\ (0.944)^4=0.794123370496 \end{gathered}$

as 0.9>0.891136>0.841232384>0.794123370496

Therefore the value of b^x is decreasing , as we increase he value of x

So, the value of the function y will get smaller for b = 0.944 as x gets larger.

Therefore, the given statement is True.

So, A is the correct option