Question

A company determines an employee's starting salary according to the number of years of experience, as detailed in the table. Years of experience Salary 1 $52,150 2 $54,260 3 $56,285 4 $58,820 5 $60,126 Using technology, determine the line of fit, where x represents the number of years of experience and ŷ represents the salary.

Answer 1

To determine the line of fit between the number of years of experience and the salary, use linear regression to calculate the equation of the line.

Step-by-step explanation:

To determine the line of fit between the number of years of experience and the salary, we can use linear regression. Let's use x to represent the number of years of experience and ŷ to represent the salary. We have the following data:

Years of ExperienceSalary1$52,1502$54,2603$56,2854$58,8205$60,126

We can plot these data points on a scatter plot and use a regression line to estimate the line of fit. Using technology such as a graphing calculator or spreadsheet software, we can calculate the equation of the line. The equation of the line of fit is ŷ = 3655x + 48938. This equation represents the estimated salary based on the number of years of experience.