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In case the correlation coefficient between two variables is 1, the relationship between the two variables would be
- a)y = a + bx
- b)y = a + bx, b > 0
- c)y = a + bx, b < 0
- d)y = a + bx, both a and b being positive
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In case the correlation coefficient between two variables is 1, the re...
Explanation:
The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1, where -1 indicates a perfectly negative linear relationship, 0 indicates no linear relationship, and +1 indicates a perfectly positive linear relationship.
When the correlation coefficient between two variables is 1, it means that there is a perfect positive linear relationship between the two variables. This implies that the two variables move in the same direction and that for every increase in one variable, there is a corresponding increase in the other variable.
In this case, the equation of the relationship between the two variables would be y = a + bx, where b > 0. This means that the value of y increases as the value of x increases, and that the line representing the relationship between the two variables is upward sloping.
Answer:
Therefore, option B is the correct answer, which states that the relationship between the two variables would be y = a + bx, where b > 0.
The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1, where -1 indicates a perfectly negative linear relationship, 0 indicates no linear relationship, and +1 indicates a perfectly positive linear relationship.
When the correlation coefficient between two variables is 1, it means that there is a perfect positive linear relationship between the two variables. This implies that the two variables move in the same direction and that for every increase in one variable, there is a corresponding increase in the other variable.
In this case, the equation of the relationship between the two variables would be y = a + bx, where b > 0. This means that the value of y increases as the value of x increases, and that the line representing the relationship between the two variables is upward sloping.
Answer:
Therefore, option B is the correct answer, which states that the relationship between the two variables would be y = a + bx, where b > 0.
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Community Answer
In case the correlation coefficient between two variables is 1, the re...
B)y = a + bx, b > 0
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In case the correlation coefficient between two variables is 1, the relationship between the two variables would bea)y = a + bxb)y = a + bx, b > 0c)y = a + bx, b < 0d)y = a + bx, both a and b being positiveCorrect answer is option 'B'. Can you explain this answer?
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