Question

The owner of a company wants to hire employees who will stay for a long time. He gives alljob applicants a "loyalty score" of 1 to 5 based on his impression of how committed they are.Among those who join the company, he also tracks how long they stay. The owner calculatesa regression line relating an employee's loyalty score, x, to the number of months they staywith the company, y:y = 8.5x - 8.3According to this regression line, how long can an applicant with a loyalty score of 3 beexpected to remain with the company?Round your answer to the nearest whole number.months

Answer 1

The given regression is

`y=8.5x-8.3`

A loyalty score of 3 refers to x = 3.

`\begin{gathered} y=8.5\cdot3-8.3 \\ y=25.5-8.3 \\ y=17 \end{gathered}`Therefore, the applicant could expect to remain with the company for 17 years.