Marilyn wants to find the best model for a bivariate data. She used a calculator to create a linear model, a quadratic model, and an exponential model.

The coefficient of determination for the linear model was 0.95.

The coefficient of determination for the quadratic model was 0.93.

The coefficient of determination for the exponential model was 0.91.

Which model should she use to represent the data set?

A linear

B exponential

C quadratic

Question

Mathematics

Aaron Henderson

1 November, 21:22

Marilyn wants to find the best model for a bivariate data. She used a calculator to create a linear model, a quadratic model, and an exponential model.

The coefficient of determination for the linear model was 0.95.

The coefficient of determination for the quadratic model was 0.93.

The coefficient of determination for the exponential model was 0.91.

Which model should she use to represent the data set?

A linear

B exponential

C quadratic

+5

Answers (1)

Know the Answer?

Lukas · Answer 1

For this case the first thing you should know is that if the coefficient of determination (R) is equal to 1, the graph is totally perfect.

Therefore, the closer the value of R is to one, the mathematical model will be the most appropriate.

We have then:

The coefficient of determination for the linear model was 0.95.

Therefore, the mathematical model must be linear.

Answer:

A model that should be used to represent the data set is:

A linear