The table gives the approximate benefits for PepsiCo executives who earned an average of $250,000 per year during the last 5 years of service, based on the number of years of service, from 15 years to 45 years.
(a) Use linear regression to find the linear equation that is the best fit for the data.
(b) Use the equation to find the expected annual retirement benefits after 38 years of service.
(c) Write a sentence that interprets the slope of the linear regression line.
Years of Service __________________ Annual Retirement
25 ................................................ $109,280
30 ................................................ 121,130
35 ................................................ 132,990
40 ................................................ 145,490
45 ................................................ 160,790