Use Computer Software to Find the Multiple Regression Equation A) $\mathrm { CO } = 1.3 + 5.5 \mathrm { TAR } - 1.3 \mathrm { NIC }$

question 70

Multiple Choice

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 (CO) of various brands of cigarettes to
Their tar and nicotine (NIC) content. $\begin{array}{ccc}\hline \text { CO } & \text { TAR } & \text { NIC } \\\hline 15 & 1.2 & 16 \\15 & 1.2 & 16 \\17 & 1.0 & 16 \\6 & 0.8 & 9 \\1 & 0.1 & 1 \\8 & 0.8 & 8 \\10 & 0.8 & 10 \\17 & 1.0 & 16 \\15 & 1.2 & 15 \\11 & 0.7 & 9 \\18 & 1.4 & 18 \\16 & 1.0 & 15 \\10 & 0.8 & 9 \\7 & 0.5 & 5 \\18 & 1.1 & 16 \\\hline\end{array}$

• A) \(\mathrm { CO } = 1.3 + 5.5 \mathrm { TAR } - 1.3 \mathrm { NIC }\); Yes, because the adjusted \(R ^ { 2 }\) is high.
• B) \(\mathrm { CO } = 1.37 - 5.53 \mathrm { TAR } + 1.33 \mathrm { NIC }\); Yes, because the \(R ^ { 2 }\) is high.
• C) \(\mathrm { CO } = 1.37 + 5.50 \mathrm { TAR } - 1.38 \mathrm { NIC }\); Yes, because the \(P\)-value is high.
• D) \(\mathrm { CO } = 1.25 + 1.55 \mathrm { TAR } - 5.79 \mathrm { NIC }\); Yes, because the \(P\)-value is too low.

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Definitions:

Observational Study

A study in which the researcher observes and records behavior without manipulating variables or conditions.

Experimental Study

A research method where the researcher manipulates one variable to determine if it causes a change in another variable.

Observational Study

A study where the researcher observes and records data without influencing the outcomes.

Self-Administered Survey

A data collection method where respondents fill out the questionnaire on their own, without the direct assistance of a researcher.