Raigan WeBWorK : winter201 71 x c Secure l https://webwork.latech.edu/webwork2/W

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Raigan WeBWorK : winter201 71 x c Secure l https://webwork.latech.edu/webwork2/Winter201 718-Stat200.. Stat 200 Chapter9: Problem 1 Previous Problem Problem List Next Problem (1 point) The table below shows (ifetime) peptic ulcer rates (per 100 population), U, for various family incomes, a, as reported by the 1989 National Health Interview Survey Income 4000 6000 8000 12000 16000 20000 30000 45000 60000 Ulcer rate 13.6 137 12.8 12.5 12.8 12.2 108 10 8.5 (a) Find the equation of the regression line. Ulcer rate. U() (b) Estimate the peptic ulcer rate for an income level of o-27000 according to the linear model in part (a) Ulcer rate, U(o) Note: You can eam partia credit on this probiem Preview My Answers Submit Answers You have attempted this probiem o times You have unlimited attempts remaining

Explanation / Answer

(a) The regression equation is Y=a+bx

   =19096200-21486900/66969000000-40401000000
=-2390700/26568000000
=-0.0001

b=-0.0001

   =124.9868/9

=13.8874

a=13.8874

the regression equation is Y=13.8874-0.0001X

(b) Estimate the peptic ulcer rate for an income level of x0=27000 according to the linear model in part(a)

Sol:Y=13.8874-0.0001X

      Y=13.8874-0.0001(27000)

      Y=13.8874-2.7

     Y=11.1874

income(x) Ulcer rate(y) X2 XY 4000 13.6 16000000 54400 6000 13.7 36000000 82200 8000 12.8 64000000 102400 12000 12.5 144000000 150000 16000 12.8 256000000 204800 20000 12.2 400000000 244000 30000 10.8 900000000 324000 45000 10 2025000000 450000 60000 8.5 3600000000 510000 total 201000 106.9 7441000000 2121800 n 9

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