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please show work 19. According to Pricewaterhouse Coopers, \"Global State of Inf

ID: 3136258 • Letter: P

Question

please show work

19. According to Pricewaterhouse Coopers, "Global State of Information System Security 2015", there were 3.4 million "detected and reported information security incidents" (cyberattacks, etc.) against computer networks in the USA in 2009. In 2014, that number had risen to 42.8 million (a) Which of the following linear equations could be used to predict annual number (in millions) of detected and reported information security incidents "y" in a given year "x", where x 0 represents the year 2009? Explain/show work. A. y = 0.13x + 2009 B. y = 0.13x + 3.4 C. y = 7.88x + 2009 D. y = 7.88x + 3.4 (b) Use the equation from part (a) to predict the number (in millions) of detected and reported information security incidents in the year 2017. Round answer to nearest tenth of a million. Show work. (c) Fill in the blanks to interpret the slope of the equation: The rate of change of detected and reported information security incidents against computer networks in the US with respect to time is per Include units of measurement.)

Explanation / Answer

Answer: (a) D. y=7.88x+3.4

(b) 66.44 millions

(c) 7.88 millions    per year

Explanation:

(a) slope=(y2-y1)/(x2-x1)=(42.8-3.4)/(2014-2009)=7.88.

where, x represents the independent variable and y represents the dependent variable. Taking x=0 as 2009. The equation of line can be re-presented of the form of y=mx+c, where, m=slope=7.88, and c=3.4 (the value of y at x=0). So,

y=7.88x+3.4        ----------------------------------------- (1)    

(b). For 2017, x=2017-2009=8. So, using eqn 1

y=7.88*8+3.4

y=66.44    OR y=66.4 (rounding to nearest tenth)

(c) The blank spaces will be 7.88 millions    and year respectively.