Question

Gotham City is piloting a crime reduction program so that it does not have to rely on the help of super-heroes anymore. The table below shows the number of crimes committed every year (since 2005). The mayor of Gotham needs your help and you are tasked to find the following: Years (t) Crimes (C) 2005 1371 2006 2007 1346 1339 2008 2009 1329 1319 2010 1317 2011 1326 2012 1317 2013 1300 2014 1309 Use the data to create an appropriate linear function in equation form) that represents the number of crimes as a function of the calendar year. Also, give the r and r values from your calculator. Regression Equation: T m2 Round all values to 3 decimal places. Gotham can stop relying on super-heroes' help once the number of crimes drop below 700 per year. In which year will that happen? -

Answer 1

som Based on data take 2005, 2,=0, 2006, X = 1; it's gives the solution of the form in table and linear regression line shown. Viax, + b 1400 STATISTICS RESIDUALS 2 = 0.8071 ei plot r= -0.8984 1380 PARAMETERS a= -6.00007 b= 1354.6 X1 91 1360 0 1371 1 1340 2 1339 1340 3 1329 4 1319 -1320 5 1317 6 1326 7 1 317 1300 8 1300 9 1 309 1280 10 12 y = = - 6-06667 X1 + 1354-6 r²=0.8071, r=-0.8984 ） (2) Y,=700 700=-6.06667.81 +1354.6 x = 107.901. 2005+ 107-gol = 2112.981 start in the end of year 2112 w we can say in year 2113 crime below 700 peryear

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