Question

An exponential model is given to be ŷ = 3.5(2)x. Determine the predicted value when x = 1.6.

22.499
10.610
7.0
5.6

Answer 1

Okay so for this one, you can just plug it into a calculator as

3.5(2)^(1.6)

Answer 2

Which should give you ~10.61002

Answer 3

C. 7.0

Answer 4

11.2
Sure! Let's substitute the given value of xx into the equation \hat{y} = 3.5(2)^x
y
^
​
=3.5(2)
x
.
\hat{y} = 3.5(2)^{1.6}
y
^
​
=3.5(2)
1.6

\hat{y} = 3.5(3.2)
y
^
​
=3.5(3.2)
\hat{y} = 11.2
y
^
​
=11.2
Therefore, the predicted value when x=1.6x=1.6 is 11.2.