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The correlation for the values of two variables moving in the opposite direction isa.Positiveb.Negativec.Non-lineard.LinearClear my choice

Question

The correlation for the values of two variables moving in the opposite direction is:

a. Positive
b. Negative
c. Non-linear
d. Linear

Clear my choice

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Solution

Break Down the Problem

  1. Identify the relationship described in the question: correlation of two variables moving in opposite directions.
  2. Recognize the types of correlation available as options.

Relevant Concepts

  1. Understand the meaning of correlation:
    • Positive Correlation: Both variables move in the same direction.
    • Negative Correlation: One variable increases while the other decreases (opposite direction).
    • Non-linear Correlation: Relationships that do not fall along a straight line.
    • Linear Correlation: Relationships that can be represented as a straight line.

Analysis and Detail

  1. Given that the variables are moving in opposite directions, this implies that as one variable increases, the other decreases. This characteristic is specifically identified as negative correlation.

Verify and Summarize

  1. The question concerns correlation. Since "opposite direction" clearly indicates that the correlation is not positive, the correct choice must be negative.

Final Answer

The correct answer is b. Negative.

This problem has been solved

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Instructions: State if there appears to be a positive correlation, negative correlation, or no correlation.

The correlation coefficient ranges between:a.[-1,1]b.[0,1]c.(-∞ , ∞)d.(-1,0)Clear my choice

Which of the following correlation coefficients represents no correlation between two variables?

1/2

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