he Centers for Disease Control and Prevention Office on Smoking and Health (OSH)
ID: 3055688 • Letter: H
Question
he Centers for Disease Control and Prevention Office on Smoking and Health (OSH) is the lead federal agency responsible for comprehensive tobacco prevention and control. OSH was established in 1965 to reduce the death and disease caused by tobacco use and exposure to secondhand smoke. One of the many responsibilities of the OSH is to collect data on tobacco use. The following data show the percentage of U.S. adults who were users of tobacco for a recent 11-year period
What type of pattern exists in the data?
Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. Do not round your interim computations and round your final answers to three decimal places. For subtractive or negative numbers use a minus sign. (Example: -300)
y-intercept, b0 =
Slope, b1 =
MSE =
One of OSH’s goals is to cut the percentage of U.S. adults who were users of tobacco to 12% or less within nine years of the last year of these data. Does your regression model from part (b) suggest that OSH is on target to meet this goal?
Use your model from part (b) to estimate the number of years that must pass after these data have been collected before OSH will achieve this goal. Round your answer to the nearest whole number.
years
Explanation / Answer
As we can see from the calculations above,
b0: 22.189
b1: -0.294
12=22.189-0.294*years
34.66=years (approx 35 years)
(within 9 years does not seem to be the case)
SUMMARY OUTPUT Regression Statistics Multiple R 0.815 R Square 0.665 Adjusted R Square 0.628 Standard Error 0.729 Observations 11 ANOVA df SS MS F Significance F Regression 1 9.484 9.484 17.868 0.002 Residual 9 4.777 0.531 Total 10 14.262 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 22.189 0.471 47.096 0.000 21.123 23.255 Year -0.294 0.069 -4.227 0.002 -0.451 -0.136Related Questions
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