#1
What does a correlation coefficient indicate?
The strength and direction of a linear relationship between two variables
ExplanationMeasures the strength and direction of linear relationship
#2
What does a correlation coefficient of -1 indicate?
Perfect negative correlation
ExplanationPerfect negative correlation
#3
What does a correlation coefficient of 0 indicate?
No relationship between the variables
ExplanationIndicates no relationship
#4
Which of the following statements about correlation is false?
Correlation implies causation
ExplanationCorrelation does not imply causation
#5
In data analysis, what does it mean if the correlation coefficient is close to 0?
There is a weak or no correlation
ExplanationIndicates weak or no correlation
#6
Which of the following correlation coefficients represents the strongest relationship?
-0.95
ExplanationStrongest negative linear relationship
#7
What is the range of a correlation coefficient?
-1 to 1
ExplanationRange from -1 (perfect negative) to 1 (perfect positive)
#8
Which of the following statements about correlation is true?
Correlation does not imply causation
ExplanationCorrelation does not imply causation
#9
Which of the following is true about correlation?
Correlation can be used to make predictions about causation
ExplanationCan predict but does not imply causation
#10
What does it mean if the correlation coefficient is negative?
There is a strong negative relationship between the variables
ExplanationIndicates a strong negative relationship
#11
What does it mean if the correlation coefficient is exactly 1?
There is a perfect positive linear relationship
ExplanationPerfect positive linear relationship
#12
In which of the following cases should you be cautious about interpreting correlation?
When there is a clear causal relationship
ExplanationCautious when there's a clear causal relationship
#13
What is the formula for calculating the correlation coefficient?
r = Σ(X - μX)(Y - μY) / (√(Σ(X - μX)^2) * √(Σ(Y - μY)^2))
ExplanationFormula for calculating correlation coefficient
#14
Which of the following statements is true about outliers in correlation analysis?
Outliers can inflate or deflate correlation coefficients
ExplanationOutliers can skew correlation coefficients