The following table shows the average life expectancy, in years, of a child born in the given year.†

Year    Life expectancy

2005    77.6

2007    78.1

2009    78.5

2011    78.7

2013    78.8

(a) Find the equation of the regression line. (Let E be the life expectancy in years and t the number of years since 2005. Round regression line parameters to two decimal places.)

E(t) = 0.15t+77.74

(b) Plot the data points and the regression line.

(c) Explain in practical terms the meaning of the slope of the regression line. (Round your answer to two decimal places.)

For each increase of 1 in the year of birth the life expectancy increases by year.

(d) Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 2018? (Round your answer to one decimal place.)

(e) Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 1550? (Round your answer to one decimal place.)

(f) What do you predict as the life expectancy of a child born in 2400? (Round your answer to one decimal places.)