Question

1. A marine biologist recorded the number of deaths of specific fish species from the last 10 years (1 point)due to pollution in a specific area off the Pacific coast. She was curious to see if there was atrend. Identify the best mathematical model with its corresponding R? value and tell whether itis a good model.

Answer 1

We have to see which model (quadratic or linear) best represents the data.

We can use software to fit this data set.

Linear model:

Quadratic model:

The quadratic model has a slightly better fit than the linear model.

But the value of R² = 0.176 shows that the fit is very weak, so we can conclude that this is not a good model for the data.

Answer:

Quadratic model, 0.176.

No, 0.176 is a very low R² value.