Use computer software to obtain the multiple regression equation and identify R $$\mathrm { R } ^ { 2 }$$ , adjusted R $$\mathrm { R } ^ { 2 }$$ , and the P-value.
-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. $$\begin{array} { | c c c | }
\hline \text { CO } & \text { TAR } & \text { NIC } \
\hline 15 & 1.2 & 16 \
15 & 1.2 & 16 \
17 & 1.0 & 16 \
6 & 0.8 & 9 \
1 & 0.1 & 1 \
8 & 0.8 & 8 \
10 & 0.8 & 10 \
17 & 1.0 & 16 \
15 & 1.2 & 15 \
11 & 0.7 & 9 \
18 & 1.4 & 18 \
16 & 1.0 & 15 \
10 & 0.8 & 9 \
7 & 0.5 & 5 \
18 & 1.1 & 16 \
\hline
\end{array}$$
A) 0.861, 0.900, 0.015
B) 0.976, 0.921, 0.002
C) 0.943, 0.934, 0.000
D) 0.931, 0.902, 0.000

Question

Use computer software to obtain the multiple regression equation and identify R $$\mathrm { R } ^ { 2 }$$ , adjusted R $$\mathrm { R } ^ { 2 }$$ , and the P-value.
-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. $$\begin{array} { | c c c | } 
\hline \text { CO } & \text { TAR } & \text { NIC } \
\hline 15 & 1.2 & 16 \
15 & 1.2 & 16 \
17 & 1.0 & 16 \
6 & 0.8 & 9 \
1 & 0.1 & 1 \
8 & 0.8 & 8 \
10 & 0.8 & 10 \
17 & 1.0 & 16 \
15 & 1.2 & 15 \
11 & 0.7 & 9 \
18 & 1.4 & 18 \
16 & 1.0 & 15 \
10 & 0.8 & 9 \
7 & 0.5 & 5 \
18 & 1.1 & 16 \
\hline
\end{array}$$
A) 0.861, 0.900, 0.015
B) 0.976, 0.921, 0.002
C) 0.943, 0.934, 0.000
D) 0.931, 0.902, 0.000

Quizplus · Accepted Answer

Using computer software, we obtain the following multiple regression equation:
CO = -6.745 + 9.634(TAR) + 0.810(NIC)
where CO is the carbon monoxide level, TAR is the tar content, and NIC is the nicotine content.

R = 0.943 is the correlation coefficient.

R-square = 0.934 represents the proportion of variance in CO explained by the linear regression with TAR and NIC.

Adjusted R-square = 0.903 is a modified version of R-square that adjusts for the number of predictor variables in the model.

The P-value is less than 0.05, indicating that the regression model is statistically significant at the 5% level.

Use Computer Software to Obtain the Multiple Regression Equation and Identify