Question

Suppose an infection spreads according to the following data.

What type of regression line is the best fit for this data?
A) linear
B) power
C) exponential
D) linear and exponential

Answer 1

This is exponential and linear. Hope this helps!

Answer 2

Exponential regression line is the best fit for the data.

Solution-

Taking

x = input variable,

y = output variable.

Taking the data from the table, regression models were generated using Excel.

As shown in the attachments, the co-efficient of determination (R²) is maximum for Exponential Regression model or more closer to 1.

As,

`0.904<0.957<0.974`

`R^2_{\text{Linear}}<R^2_{\text{Power}}<R^2_{\text{Exponential}}`

The more closer the value of R² to 1, the better the regression model and the best fit line is.

In general also, when we consider growth or decay, we follow the exponential function approach.

Therefore, the exponential regression models should be followed and so exponential regression line is the best fit for the data.