(a)y-intercept, b0=22.4146
slope, b1=-0.2827
MSE=0.3471
(b) here slope=-0.2827, which change in dependent variable when
unit change is done in independent variable.
so each year there will decrease in smoking by 0.2827%
so in 9 years there would decrease =9*0.2827=2.5443%,
so  regression model from part (b) does not suggest that
OSH is on target to meet this goal
required number of years=12/0.2827=42.4877 ( required number of
42 years, nearest whole number)
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Regression Statistics |
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Multiple
R |
0.858998 |
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R
Square |
0.737878 |
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Adjusted
R Square |
0.708753 |
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Standard
Error |
0.589118 |
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Observations |
11 |
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ANOVA |
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df |
SS |
MS |
F |
Significance F |
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Regression |
1 |
8.792818 |
8.792818 |
25.33511 |
0.000706 |
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Residual |
9 |
3.123545 |
0.347061 |
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Total |
10 |
11.91636 |
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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 |
-0.15566 |