Question

select the correct answer from each drop - down menu. a large manufacturing company models the number of workers it hired each year after 2010 using the function shown on the graph. complete the statements describing the situation. based on the model, the company hired approximately drop - down workers in 2019. the $r^{2}$ value for this model is 0.56, indicating that this function drop - down a good model of the data.

Explanation:

Step1: Determine the x - value for 2019

Since \(t\) represents years since 2010, for 2019, \(t = 2019 - 2010=9\).

Step2: Read the value from the graph

Looking at the graph, when \(t = 9\), the number of workers \(n\) is approximately 200.

Step3: Analyze the \(r^{2}\) value

The coefficient of determination \(r^{2}\) measures how well the regression line approximates the real - data points. A value of \(r^{2}=0.56\) is not very close to 1. In general, an \(r^{2}\) value close to 1 indicates a good fit. So, this function is not a good model of the data.

Answer:

Based on the model, the company hired approximately 200 workers in 2019. The \(r^{2}\) value for this model is 0.56, indicating that this function is not a good model of the data.