Question

The LSRL after an exponential transformation is log ŷ = 0.4785 + 1.468x. What is the exponential form of the regression? ŷ = 29.3765 • 3.00954x ŷ = 0.4785 • 3.00954x ŷ = 0.4785 • 1.468x ŷ = 1.468 • 0.4785x ŷ = 3.00954 • 29.3765x

Answer 1

Answer: $y = 3.00954 . 29.3765^x$

Step-by-step explanation:

Here, the transformed form of the exponential function,

$log y = 0.4785 + 1.468 x$

⇒ $y = 10^{0.4785+1.468x}$ ( because,  $log y = a + b$ ⇒ $y = 10^{a+b}$ )

⇒ $y = 10^{0.4785}\times 10^{1.468x}$ ( Because, $a^{m+n}=a^m.a^n$ )

⇒ $y = 3.00954 . 29.3765^x$

Thus, Last Option is correct.