The task can be written by hand or typed as a word document. (Task] You should s

Question

The task can be written by hand or typed as a word document. (Task] You should show make a scatter plot with the data given . • Generate a function by Geogebra to model the data. • Create your own function model. Show your work and reason why you choose a certain type of function. • In 2015, the birth rate in China was 12.07, according to the model functions you got, calculate the birth rate in 2015. Compare with the actual value, give comments to the accuracy of your model ' functions. (Data) refer to http://blog.sina.com.cn/s/blog. 416ba490102ebsf.html Year 1962 1964 1966 1968 1970T1972 1974T1976 Birth 37.22 39.34 35.21T35.75 T33.59T29.92 24.9s 20.01 Rate (%) Year Birth Rate (%) 1978 1980T1982 1984 19861988 1990 1992 18.2518.2122.28 19..4320.78T2106T1824 Year Birth 1994-1996 1998 2000 2002 2004 17.7 1698 15.64 14.0312.8612.29 2006 12.1 2008 12.14 de

Explanation / Answer

a)

y^ = 1121.973978 - 0.5540826 * year

when year = 2015

y^ = 1121.973978 - 0.5540826 * 2015

= 5.49753

actual value = 12.07 %

predicted value = 5.5 %

we see that there is significant difference between actual and predicted value

this is due to fact that 2015 is not in data , hence the regression result is not trustworthy in this case

year birth rate 1962 37.22 1964 39.34 1966 35.21 1968 35.75 1970 33.59 1972 29.92 1974 24.95 1976 20.01 1978 18.25 1980 18.21 1982 22.28 1984 19.9 1986 22.43 1988 20.78 1990 21.06 1992 18.24 1994 17.7 1996 16.98 1998 15.64 2000 14.03 2002 12.86 2004 12.29 2006 12.1 2008 12.14

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