In: Statistics and Probability
Problem 6-21 (Algorithmic)
The 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 (http://www.cdc.gov/tobacco/data_statistics/tables/trends/cig_smoking/index.htm).
Year | Percentage of Adults Who Smoke |
1 | 22.7 |
2 | 21.9 |
3 | 21.2 |
4 | 20.8 |
5 | 20.8 |
6 | 20.2 |
7 | 19.3 |
8 | 20.6 |
9 | 20.6 |
10 | 19.8 |
11 | 18.9 |
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Answer:
Regression Statistics | ||||||
Multiple R | 0.858998 | |||||
R Square | 0.737878 | |||||
Adjusted R Square | 0.708753 | |||||
Standard Error | 0.589118 | |||||
Observations | 11 | |||||
ANOVA | ||||||
df | SS | MS | F | Significance F | ||
Regression | 1 | 8.792818 | 8.792818 | 25.33511 | 0.000706 | |
Residual | 9 | 3.123545 | 0.347061 | |||
Total | 10 | 11.91636 | ||||
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | |
Intercept | 22.31455 | 0.380965 | 58.57372 | 6.21E-13 | 21.45274 | 23.17635 |
X Variable 1 | -0.28273 | 0.05617 | -5.0334 | 0.000706 | -0.40979 | -0.1556 |