weerworK : Fall20 1718-X Chapter9/1 Entered Answer Preview Result 11.2016 11.201

Question

weerworK : Fall20 1718-X Chapter9/1 Entered Answer Preview Result 11.2016 11.2016-(1.6 × 10-5) incorrect 10.8176 10.8176 incorrect At least one of the answers above is NOT correct. (1 point) The table below shows (ifetime) peptic ulcer rates (per 100 population), U, tor various family incomes, z, as reported by the 1989 National Health Interview Survey Income 4000 6000 8000 12000 16000 20000 300004500060000 icer rate 14.7 13.6 12.9 12.7 13.3 12.5 10.9 9.7 8.5 (a) Find the equation of the regression line. Ulcer rate, U()11.2016-0.000016 (b) Estimate the peptic ulcer rate for an income level of zo = 24000 according to the linear model in part (a). Ulcer rate, U(o10.8176 Note: You can earn partial credit on this problem. Preview My Answers Submit Answers Your score was recorded.

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: Ulcer Rate
Independent Variable: Income
Ulcer Rate = 14.340127 - 0.00010080172 Income
Sample size: 9
R (correlation coefficient) = -0.97168409
R-sq = 0.94416997
Estimate of error standard deviation: 0.50336839

Parameter estimates:

Analysis of variance table for regression model:

Predicted values:

Hence,

a) Regression equation:

U(x) = 14.340127 - 0.00010080172 x

b) U(x0) = 11.920886

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 14.340127 0.2663926 0 7 53.830801 <0.0001 Slope -0.00010080172 0.0000092646233 0 7 -10.880282 <0.0001

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