Use computer software to find the multiple regression equation. Can the equation

Question

Use computer software to find the multiple regression equation. Can the equation be used for prediction? An anti-smoking group used data in the table to relate the carbon monoxide of various brands of cigarettes to their tar and nicotine content. CO TAR NIC 16 16 16 9 15 12 15 1.2 17 1.0 6 0.8 1 0.1 8 0.8 10 0.8 17 1.0 15 12 15 11 0.7 18 1.4 16 1.0 10 0.8 70.5 18 1.1 10 16 18 15 16 O CO = 1.25 + 1.55TAR-5.79NIC: Yes, because the P-value is too low O CO = 1.37 + 5.50TAR- 1.38NIC: Yes, because the P-value is high CO = 1.3 + 5.5TAR-1 3NIC: Yes, because the adjusted R2 is high CO = 1.37-5.53TAR + 1.33NIC: Yes, because the R2 is high

Explanation / Answer

from excel data anlysis:

therefore option:

CO =1.37-5.53TAR+1.33NIC , Yes because the R2 is high is correct.

Regression Statistics Multiple R 0.9712 R Square 0.94323 Adjusted R Square 0.933768 Standard Error 1.324699 Observations 15 ANOVA df SS MS F Significance F Regression 2 349.8754 174.9377 99.68944 3.35E-08 Residual 12 21.05792 1.754827 Total 14 370.9333 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 1.3752 1.0965 1.2543 0.2336 -1.0137 3.7642 -1.0137 3.7642 TAR -5.5323 3.5527 -1.5572 0.1454 -13.2730 2.2085 -13.2730 2.2085 NIC 1.3330 0.2299 5.7986 0.0001 0.8321 1.8339 0.8321 1.8339

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