Question:
Which among the following correlation coefficient values represents the strongest relationship between two variables?
Which among the following correlation coefficient values represents the strongest relationship between two variables?
Show Hint
The sign of the correlation coefficient indicates the direction (positive or negative), while the absolute value determines the strength of the relationship.
Updated On: Jan 24, 2025
- -0.86
- +0.68
- +0.59
- -0.05
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
The strength of a correlation is determined by the absolute value of the correlation coefficient (\textit{r}).
Key points: 1. The closer the absolute value of \textit{r} is to 1, the stronger the correlation.
2. In this case: - \(|-0.86| = 0.86\), - \(|+0.68| = 0.68\), - \(|+0.59| = 0.59\), - \(|-0.05| = 0.05\).
3. Therefore, -0.86 represents the strongest relationship. Thus, the correct answer is (A) -0.86.
Key points: 1. The closer the absolute value of \textit{r} is to 1, the stronger the correlation.
2. In this case: - \(|-0.86| = 0.86\), - \(|+0.68| = 0.68\), - \(|+0.59| = 0.59\), - \(|-0.05| = 0.05\).
3. Therefore, -0.86 represents the strongest relationship. Thus, the correct answer is (A) -0.86.
Was this answer helpful?
0
0
Top GATE XH- C5 Humanities Questions
- A researcher performs an experiment to learn if room temperature affects the amount of aggression displayed by college students under crowded conditions in a simulated prison environment. In this experiment, the independent variable is:
- If the data distribution is skewed to the left, it means:
The theory of psychoanalysis is based on \(\_\_\_\_\_\_\) method.
- If a court acquits the criminal for lack of evidence and sentences the victim for 2 years of rigorous imprisonment in a case, it is an example of:
In the Darwinian sense, \(\_\_\_\_\_\_\) refers to the ability of an organism to survive and produce a large number of fertile offspring.
View More Questions
Top GATE XH- C5 Research methodology Questions
- A researcher performs an experiment to learn if room temperature affects the amount of aggression displayed by college students under crowded conditions in a simulated prison environment. In this experiment, the independent variable is:
- If the data distribution is skewed to the left, it means:
The theory of psychoanalysis is based on \(\_\_\_\_\_\_\) method.
- If a court acquits the criminal for lack of evidence and sentences the victim for 2 years of rigorous imprisonment in a case, it is an example of:
In the Darwinian sense, \(\_\_\_\_\_\_\) refers to the ability of an organism to survive and produce a large number of fertile offspring.
View More Questions
Top GATE XH- C5 Questions
- If ‘—’ denotes increasing order of intensity, then the meaning of the words [simmer — seethe — smolder] is analogous to [break — raze — ]. Which one of the given options is appropriate to fill the blank?
- In a locality, the houses are numbered in the following way: The house-numbers on one side of a road are consecutive odd integers starting from 301, while the house-numbers on the other side of the road are consecutive even numbers starting from 302. The total number of houses is the same on both sides of the road. If the difference of the sum of the house-numbers between the two sides of the road is 27, then the number of houses on each side of the road is:
- For positive integers \( p \) and \( q \), with \( \frac{p}{q} \neq 1 \), \[ \left(\frac{p}{q}\right)^{\frac{p}{q}} = \left(\frac{p}{q}\right)^{(\frac{p}{q} - 1)}. \] Then: (1) \( q^p = p^q \)
- Which one of the given options is a possible value of \( X \) in the following sequence? \[ 3, 7, 15, X, 63, 127, 255 \]
- On a given day, how many times will the second-hand and the minute-hand of a clock cross each other during the clock time 12:05:00 hours to 12:55:00 hours?
View More Questions