Answer:
a) [tex]y=\frac{28}{75}(x-1900)+47.3[/tex]
b) 86.5 years
Step-by-step explanation:
All values are rounded to 2 decimal places
a) We can find line by using y =mx+b
[tex]y=mx+b\\m=\frac{y^{2}-y^{1} }{x^{2}-x^{1}}\\m=\frac{69.7-47.3}{1960-1900} \\m=\frac{22.4}{60} \\m=\frac{28}{75}\\c=y-intercept\\y-intercept=47.3\\y=\frac{28}{75} (x-1900)+47.3[/tex]
Therefore the line of best fit is [tex]y=\frac{28}{75}(x-1900)+47.3\\[/tex]
b) We can do this by using the formula of the best fit line to estimate the life expectancy of someone born in 2005
[tex]y=\frac{28}{75}(x-1900)+47.3\\y=\frac{28}{75}(2005-1900)+47.3\\y=\frac{28}{75}\times105+47.3\\y=86.5[/tex]
Therefore the estimated life expectancy of someone born in 2005 is 86.5 years
PS. Please give brainliest answer this was a lot of working out
