Question

The following table shows the average life expectancy, in years, of a child born in the given year Year 2005 2007 2009 2011 2013 Life expectancy 77.6 78.1 78.5 78.7 78.8 If t denotes the time in years since 2005 and E the life expectancy in years, then it turns out that the trend line for these data is given by E-0.15t+ 77.74 The data and the trend line are shown in the figure below. 79.0 s 785 78.0 77.5 Time in years since 2005 If the linear trend established by these data persisted through 2018, what would be the life expectancy (in years) of a child born in 2018? (Round your answer to one decimal place.) yr eBook

Answer 1

Trend line : E = 0.15 t + 77.74

Here t = 0 for 2005, t = 2 for 2007 ans so on.

If the trend established by these data persisted through 2018, then life expectancy of a child born in 2018 is

For 2018, t = 13

E = 0.15*13 + 77.74 = 79.69 Years