If the values of two variables move in the same direction, then the correlation is said to be __________a.Non-linearb.Linearc.Positived.NegativeClear my choice
Question
If the values of two variables move in the same direction, then the correlation is said to be __________
a. Non-linear
b. Linear
c. Positive
d. Negative
Clear my choice
Solution
Break Down the Problem
- Identify what correlation means in statistics.
- Determine the relationship between variables based on their movements.
Relevant Concepts
- Correlation: It is a statistical measure that expresses the extent to which two variables are linearly related.
- Types of Correlation:
- Positive Correlation: When the values of two variables move in the same direction.
- Negative Correlation: When the values of two variables move in opposite directions.
- Linear Correlation: Indicates a straight-line relationship between the variables.
- Non-linear Correlation: Indicates a relationship that isn’t adequately described by a straight line.
Analysis and Detail
- If two variables move together, they exhibit a positive relationship.
- Therefore, if one variable increases, the other also increases, which is characteristic of positive correlation.
Verify and Summarize
Based on the definitions and concepts above, the correct answer must relate to the behavior of the variables.
Final Answer
The correlation is said to be c. Positive.
Similar Questions
The correlation for the values of two variables moving in the opposite direction isa.Positiveb.Negativec.Non-lineard.LinearClear my choice
The correlation coefficient describes:a.Magnitudeb.Directionc.Both magnitude and directiond.None of theseClear my choice
Instructions: State if there appears to be a positive correlation, negative correlation, or no correlation.
As x increases, y increases. correlation coefficient causation negative correlation positive correlation
Which of the following correlation coefficients represents no correlation between two variables?
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