Use exponential regression to determine what happens to $y$ when 1 is added to t.

A) $1.89$ is added to $y$
B) $12.11$ is added to $y$
C) $\quad y$ is multiplied by $1.89$
D) $\quad y$ is multiplied by $12.11$

Question

Use exponential regression to determine what happens to $y$ when 1 is added to t.

A) $1.89$ is added to $y$ 
B) $12.11$ is added to $y$ 
C) $\quad y$ is multiplied by $1.89$ 
D) $\quad y$ is multiplied by $12.11$

Quizplus · Accepted Answer

Exponential regression models take the form of $y = ab^t$, where $a$ and $b$ are constants. If 1 is added to t, then the new equation will be $y = ab^{t+1} = (ab)b^t$. This means that the new value of y will be obtained by multiplying the old value of y by the constant factor $b$, which is equal to approximately 1.89 based on the data from the regression. Therefore, the correct answer is C.

Use Exponential Regression to Determine What Happens To yyy When 1 Is Added to T

Use Exponential Regression to Determine What Happens To $y$ When 1 Is Added to T