Inspection of the Following Table of Correlation Coefficients for Variables

question 67

Multiple Choice

Inspection of the following table of correlation coefficients for variables in a multiple regression analysis reveals potential multicollinearity with variables ___________. $$\begin{array} { | c | r | c | c | c | c | c | } \hline & y & x _ { 1 } & x _ { 2 } & x _ { 3 } & x _ { 4 } & x _ { 5 } \\\hline y & 1 & & & & & \\\hline x _ { 1 } & - 0.08301 & 1 & & & & \\\hline x _ { 2 } & 0.236745 & - 0.51728 & 1 & & & \\\hline x _ { 3 } & 0.155149 & - 0.22264 & - 0.00734 & 1 & & \\\hline x _ { 4 } & 0.022234 & - 0.58079 & 0.884216 & 0.131956 & 1 & \\\hline x _ { 5 } & 0.4808 & - 0.20467 & 0.078916 & 0.207477 & 0.103831 & 1 \\\hline\end{array}$$

• A)x₁ and x₅
• B)x₂ and x₃
• C)x₄ and x₂
• D)x₄ and x₃
• E)x₄ and y

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Definitions:

Subjective Sampling

A sampling method where the samples are selected based on the opinion or judgment of the selector rather than random or statistical methods.

Uniformly Distributed

A type of distribution where all outcomes are equally likely within a certain range.

Random Sampling

The process of selecting a subset of individuals from a population in such a way that every individual has an equal chance of being selected.

Statistical Applications

The use of statistical techniques and methodologies to solve real-world problems, analyze data, and make informed decisions.