Answered: Since the 1990s there have been many…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Transcribed Image Text:Group problems: Since the 1990s there have been many high profile cases of violence in schools. The extensive media coverage of these events may convince people that school crime has increased. The data set below is from the National Center for Educational Statistics (NCES). Total school crimes (a) Does the data at the right suggest that school crime is increasing or decreasing? How do you know? Correlation coerficient belween these Year two variables is-0.955s high negative correlatondureo these two 993 in the US (in millions) 1992 3.409 3.795 high niegative Correl9555 which indicatOS 1994 3.800 1995 3.468 (b) Use technology to plot this data. Does the data look roughly (but not necessarily perfectly) linear? 966 1997 3.163 2.721 X sp Smaus udbab roughly lincar. 1998 2.716 data looks 2.490 666 1.946 (c) Let y = c(x) represent the total school crimes in the US (in millions). Find the linear regression function to model 2002 this data. Record your equation here, rounding values to 4 2003 decimal places. 2001 2.001 %3D 1.754 1.930 2004 1.446 2005 1.488 1.676 900 (d) Use your regression function c(x) from part (c) to approximate the number of school crimes in 2012. (e) Now graph the regression equation and view the function along with the data points on the graph. Comment on how well you think the regression function fits the data. (f) Now use your technology to create a table of the regression equation and use the table to predict the number of school crimes in 2012. (g). Compare your answers to parts (d) and (f). Are they the same? Close? 71

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