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:

Flashing Signals

Lights that blink on and off to convey messages, warnings, or signals, commonly used in road traffic controls and electronic devices.

Principle of Parsimony

A methodological principle suggesting that the simplest explanation is often the correct one when comparing theories with equal predictive capabilities.

Parsimonious

A characteristic of an explanation or theory that requires the fewest assumptions, variables, or changes to be effective or accurate.

Replicable

Capable of being repeated or duplicated under the same conditions, allowing for the verification of results.