The table below gives a country\'s homicide rates from 1990 through 2009. Comple

Question

The table below gives a country's homicide rates from 1990 through 2009. Completo parts a through c below ? Click to view the table of homicides. a) Find the quartc function that models the data, with x ropresentng the number of years afer 1990 Repor the model with four 1990. Report the model with four decimal places. b) Graph the model on the same axes with the data. Choose the correct graph below O A. ??. O c. c) What does the rounded model estimate for the homicide rate in 2014? Is this possble? (Type an integer or decimal rounded to one decimal place as needed.) 0 A. The homicide rate in 2014 is , which is possible O B. The homicide rate in 2014 is , which is not possible.

Explanation / Answer

Go to xuru.org ---> Regression tools ---> polynomial regressin

Now, change the degree to 4(or quartic)

Then enter these coordinates :
(0,9.8)
(1,10.2)
(2,9.3)
(3,9.5)
(4,9)
(5,8.2)
(6,7.4)
(7,6.8)
(8,6.3)
(9,5.7)
(10,5.5)
(11,5.6)
(12,5.6)
(13,5.7)
(14,5.5)
(15,5.6)
(16,5.8)
(17,5.7)
(18,5.4)
(19,5)

We get y = -0.0005x^4 + 0.0200x^3 - 0.2244x^2 + 0.3440x + 9.8335

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Option B

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c)
For 2014, t = 2014 - 1990 = 24

So, plug in t = 24 :
y = -0.0005(24)^5 + 0.0200(24)^3 - 0.2244(24)^2 + 0.3440(24) + 9.8335

We get y = -3815.9969 ---> weird yo!

So, the homicide rate is -3816.0 which is NOT possible

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