Question

The LSRL after an exponential transformation is log ŷ = 0.986 + 3.149x. What is the exponential form of the regression?

Answer 1

ŷ = 9.68278 1409.29x

Step-by-step explanation:

just took the test

Answer 2

`\boxed{9.68(1409)^(x)}`

Step-by-step explanation:

log y = 0.986 + 3.149x

Take the antilogarithm of each side

`\begin{array}{rcl}10^(\log y) & = & 10^(0.986 + 3.149x)\\y & = & 10^(0.986) * 10^(3.149x) \\& = & 9.68 * 10^(3.149x)\\& = & 9.68 * \left(10^(3.149) \right )^(x)\\& = & \mathbf{9.68(1409)^(x)}\\\end{array}\\\text{The exponential form of the regression is } \boxed{\mathbf{9.68(1409)^(x)}}`