the owner of a company wants to hire employees who will stay for a long time. he gives all job applicants a…

the owner of a company wants to hire employees who will stay for a long time. he gives all job 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 calculates a regression line relating an employees loyalty score, x, to the number of months they stay with the company, y: y = 8.5x - 8.3 according to this regression line, how long can an applicant with a loyalty score of 3 be expected to remain with the company? round your answer to the nearest whole number. months

the owner of a company wants to hire employees who will stay for a long time. he gives all job 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 calculates a regression line relating an employees loyalty score, x, to the number of months they stay with the company, y: y = 8.5x - 8.3 according to this regression line, how long can an applicant with a loyalty score of 3 be expected to remain with the company? round your answer to the nearest whole number. months

Answer

Explanation:

Step1: Substitute the value of x

Given the regression line $y = 8.5x - 8.3$ and $x = 3$. Substitute $x = 3$ into the equation: $y=8.5\times3 - 8.3$.

Step2: Calculate the value of y

First, calculate $8.5\times3=25.5$. Then, $y = 25.5-8.3=17.2$.

Step3: Round the result

Round 17.2 to the nearest whole - number. Since the decimal part is 0.2 which is less than 0.5, we round down. So $y\approx17$.

Answer:

17