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

Days	1	2	3	4	5	6	7	8
Infected Individuals	610	650	666	700	714	748	767	797

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 $\displaystyle {y}={a}{b}^{{t}}$ where:

a =
b =

Use the model to predict the number of individuals infected with the disease after 14 days.

individuals

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

m =
b =

Use the model to predict the number of individuals infected with the disease after 14 days.

individuals

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

a =
b =
c =

Use the model to predict the number of individuals infected with the disease after 14 days.

individuals

4) Which model best fits the data?