Respuesta :
Answer:
A. False,
B. False,
C. True.
Step-by-step explanation:
We have been given three statements about the correlation. We are asked to determine which of the given statement are true.
(A) A correlation of 0.02 indicates a strong positive association.
We know that a correlation coefficient close to 1 represents positive association and a correlation coefficient close to 0 represents negative association.
Since our given correlation coefficient is close to 0, therefore, it represents negative association and given statement is false.
(B) Standardizing the variable will make the correlation 0.
We know that standardizing the variable does not change the correlation.
If correlation between the variables was 0, then the correlation between standardized variables also will be 0. Therefore, the given statement is false.
(C) Adding an outlier can dramatically change the correlation.
We know that correlation is strongly influenced by outliers, therefore, the given statement is false.
Based on the information provided about the correlation exercise, the following options are judged as follows: Option A - False; Option B; False, Option C- True.
What is the explanation for the judgments above?
(A) When a correlation coefficient tends towards zero, it is judged to be negative. Hence 0.02 is not a strong negative association but a strongly negative one. Therefore Option A is False.
(B) The explanation for the A above also holds true in this case. Hence, Option B is False as well.
(C) Outliers are observations or elements that demonstrate an abnormal behavior from the current norm. In this case, the norm is that all the coefficients are less than 0.1 and equal to zero. Hence negatively correlated.
Therefore, an outlier, in this case, would be a set-off observations that take the coefficients towards a positive tangent. Therefore, Option C is True.
Learn more about Correlation at:
https://brainly.com/question/859589
