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, let’s create a scatter plot of the data. pelican population

Explanation:

Step1: Analyze the first scatter - plot

The points seem to follow a roughly straight - line pattern with a negative slope, suggesting a linear relationship.

Step2: Analyze the table data

As the value of \(x\) increases, the value of \(y\) first decreases, then increases. This U - shaped pattern is characteristic of a quadratic function.

Step3: Analyze the second scatter - plot

The points show a rapid increase, which is typical of an exponential function.

Answer:

For the first scatter - plot: Linear model.
For the table data: Quadratic model.
For the second scatter - plot: Exponential model.