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If x denotes height of a group of students expressed in cm, and y denotes their weight
expressed in kgs, then the correlation coefficient between height and weight is:
A) Would Be Shown in
Kg
B) Would Be Shown in
Cm
C) Would Be Shown in
Kg & Cm
D) Would Be Free
from Any Unit?
Most Upvoted Answer
If x denotes height of a group of students expressed in cm, and y deno...
Correlation Coefficient Between Height and Weight
The correlation coefficient between height and weight in this case would be free from any unit as it is a measure of the strength and direction of a linear relationship between two variables. It is a dimensionless quantity that ranges from -1 to 1, with -1 indicating a perfect negative linear relationship, 0 indicating no linear relationship, and 1 indicating a perfect positive linear relationship.
Explanation
- The correlation coefficient is a measure of how closely two variables move in relation to each other. In this case, the correlation coefficient between height and weight would indicate how height and weight are related among the group of students.
- Since height is measured in cm and weight is measured in kgs, the correlation coefficient would be calculated based on the values of the two variables without any consideration for their units.
- It is important to note that correlation does not imply causation. A high correlation between height and weight does not mean that height causes weight or vice versa. It simply means that there is a relationship between the two variables.
- The correlation coefficient can help in understanding the relationship between height and weight in the group of students and can be used to make predictions or draw conclusions based on this relationship.
In conclusion, the correlation coefficient between height and weight in this scenario would be free from any unit and would provide valuable insights into the relationship between these two variables among the group of students.
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If x denotes height of a group of students expressed in cm, and y denotes their weight expressed in kgs, then the correlation coefficient between height and weight is: A) Would Be Shown in Kg B) Would Be Shown in Cm C) Would Be Shown in Kg & Cm D) Would Be Free from Any Unit?
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If x denotes height of a group of students expressed in cm, and y denotes their weight expressed in kgs, then the correlation coefficient between height and weight is: A) Would Be Shown in Kg B) Would Be Shown in Cm C) Would Be Shown in Kg & Cm D) Would Be Free from Any Unit? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If x denotes height of a group of students expressed in cm, and y denotes their weight expressed in kgs, then the correlation coefficient between height and weight is: A) Would Be Shown in Kg B) Would Be Shown in Cm C) Would Be Shown in Kg & Cm D) Would Be Free from Any Unit? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x denotes height of a group of students expressed in cm, and y denotes their weight expressed in kgs, then the correlation coefficient between height and weight is: A) Would Be Shown in Kg B) Would Be Shown in Cm C) Would Be Shown in Kg & Cm D) Would Be Free from Any Unit?.
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