Answer:
a = 2
b = 4
The equation is ⇒ [tex]y=2(4)^{x}[/tex]
Step-by-step explanation:
∵ It is an exponential Regression
∴ y = [tex]ab^{x}[/tex] where a ≠ 0
∵ x = 0 ⇒ y = 2
∴ 2 = a[tex]b^{0}[/tex] ⇒ 2 = a(1) (where b^0 = 1)
∴ a = 2
∵ x = 1 ⇒ y = 8
∴ 8 = 2(b)^1 ⇒ 8 = 2b ⇒ b = 8 ÷ 2 = 4
∴ b = 4
∴ The equation is ⇒ [tex]y = 2(4)^{x}[/tex]
