Question

i can analyze data sets to choose appropriate regression models using technology. activating strategy: for each representation, determine if a linear, quadratic, or exponential function would be the best model for the data. for this unit, we will only focus on the model. example 1: a team of wildlife conservationists and marine biologists has been studying the population of pelicans in a region since 2010. the table shows the estimated number of pelicans in different years. years since 2010, number of pelicans (thousands) 0, 5.2 1, 4.5 2, 4.1 3, 3.9 5, 4.1 6, 4.4 8, 5.7 10, 7.5 1. what do you notice about the data? 2. describe the data distribution. 3. using desmos, lets create a scatter - plot of the data.

Explanation:

Step1: Analyze the first scatter - plot

The points seem to follow a linear - like decreasing trend initially, but then deviate. However, overall the pattern is more linear compared to quadratic or exponential.

Step2: Analyze the data in the table

The values of \(y\) first decrease and then increase. This non - linear pattern suggests a quadratic model might be appropriate. But considering the overall context and simplicity for the unit focus, linear is a more basic and likely focus.

Step3: Analyze the second scatter - plot

The points show a clear non - linear, exponential - like growth pattern. But again, based on the unit's focus indication, we focus on the more basic linear model for the unit.

Answer:

Linear