The table below shows the number of individuals infected with a disease t days after its first detected by the CDC.

Days12345678
Infected Individuals78391295211561206145016391748


For each of the following problems, enter regression equation values with at least 3 decimal places. Enter predictions to the nearest whole individual.

1) Use regression to find an exponential equation that best fits the data above. The equation has form `y=a b^t` where:

a =
b =

Use the model to predict the number of individuals infected with the disease after 17 days.

individuals

2) Use regression to find a linear equation that best fits the data above. The equation has form `y=m t + b` where:

m =
b =

Use the model to predict the number of individuals infected with the disease after 17 days.

individuals

3) Use regression to find a quadratic equation that best fits the data above. The equation has form `y=a t^2 + b t + c` where:

a =
b =
c =

Use the model to predict the number of individuals infected with the disease after 17 days.

individuals

4) Which model best fits the data?