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

Respuesta :

Answer: [tex]y = 3.00954 . 29.3765^x[/tex]

Step-by-step explanation:

Here, the transformed form of the exponential function,

[tex]log y = 0.4785 + 1.468 x[/tex]

⇒ [tex]y = 10^{0.4785+1.468x}[/tex] ( because,  [tex]log y = a + b[/tex] ⇒ [tex]y = 10^{a+b}[/tex] )

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

⇒ [tex]y = 3.00954 . 29.3765^x[/tex]

Thus, Last Option is correct.