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If the relationship between two variables x and y is given by 2x 3y 4=0,then the value of the correlation coefficient between x and y is?
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If the relationship between two variables x and y is given by 2x 3y 4=...
Relationship between x and y


The given equation 2x + 3y + 4 = 0 represents a linear relationship between two variables x and y. This equation can also be written in the form of y = mx + c, where m is the slope and c is the y-intercept.

Simplifying the given equation, we get:

3y = -2x - 4

y = (-2/3)x - (4/3)

Therefore, the slope of the line is -2/3, and the y-intercept is -4/3.

Correlation coefficient between x and y


The correlation coefficient is a measure of the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation.

To calculate the correlation coefficient between x and y, we need to find the covariance and standard deviation of both variables. However, since the equation only gives us the relationship between x and y, we cannot calculate the correlation coefficient directly.

Conclusion


In conclusion, without additional information about the variables x and y, we cannot determine the correlation coefficient between them. The given equation only represents their linear relationship, but does not provide any information about their values or distribution. Therefore, we need more data to determine the correlation coefficient.
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If the relationship between two variables x and y is given by 2x 3y 4=0,then the value of the correlation coefficient between x and y is?
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If the relationship between two variables x and y is given by 2x 3y 4=0,then the value of the correlation coefficient between x and y is? for Commerce 2025 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about If the relationship between two variables x and y is given by 2x 3y 4=0,then the value of the correlation coefficient between x and y is? covers all topics & solutions for Commerce 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the relationship between two variables x and y is given by 2x 3y 4=0,then the value of the correlation coefficient between x and y is?.
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