Question

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	1032	1709	2826	4148	6801	11469	17541	26509

For each of the following questions, enter predictions to the nearest whole individual.

Exponential Regression Model
We used regression to find an exponential equation that best fits the data above. The equation has form y=abt where:

a = 669.2
b = 1.6

Model r2=0.999

Use the model to predict the number of individuals infected with the disease after 8 days.

___ individuals

Notice if it looks close to the actual number of individuals after 8 days.

Linear Regression Model
Next we used regression to find a linear equation that best fits the data above. The equation has form y=b1t+b0 where:

b₀ = -6321.4
b₁ = 3405.7

Model r2=0.857

Use the model to predict the number of individuals infected with the disease after 8 days.

___ individuals

Notice if it looks close to the actual number of individuals after 8 days.

Quadratic Regression Model
Finally we used regression to find a quadratic equation that best fits the data above. The equation has form y=b2t2+b1t+b0 where:

b0=681
b1=−2723.2
b2=3893.5

Model r2=0.994

Use the model to predict the number of individuals infected with the disease after 8 days.

___ individuals

Notice if it looks close to the actual number of individuals after 8 days.

4) Looking at the graph, the r2 values, the accuracy of the predictions for 8 days, which model best fits the data?

• Quadratic
• Exponential
• Linear

Answer 1