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the relationship between two variables X and Y is given by 2 X + 3 Y + 4 is equal to zero then the value of the coefficient correlation between X and Y
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the relationship between two variables X and Y is given by 2 X + 3 Y +...
Introduction:
The coefficient of correlation measures the strength and direction of the linear relationship between two variables. It quantifies how closely the data points in a scatter plot lie to a straight line. In this case, we have a linear equation relating the variables X and Y, and we need to find the coefficient of correlation.

Given equation:
The given equation is 2X + 3Y + 4 = 0. This equation represents a straight line in the XY plane.

Step 1: Rearrange the equation:
To analyze the relationship between X and Y, we need to express Y in terms of X or X in terms of Y. Let's rearrange the equation to solve for Y:

2X + 3Y + 4 = 0
3Y = -2X - 4
Y = (-2/3)X - (4/3)

Step 2: Compare with the standard equation:
The equation Y = mx + c is the standard form of a linear equation, where m represents the slope of the line and c represents the y-intercept. By comparing the given equation with the standard form, we can identify the values of m and c.

Comparing Y = (-2/3)X - (4/3) with Y = mx + c:
m = -2/3 (slope)
c = -4/3 (y-intercept)

Step 3: Coefficient of correlation:
The coefficient of correlation (r) is a value between -1 and +1. It indicates the strength and direction of the linear relationship between X and Y.

To calculate the coefficient of correlation, we can use the formula:

r = √(m^2 / (m^2 + 1))

Plugging in the value of m (-2/3):

r = √((-2/3)^2 / ((-2/3)^2 + 1))
r = √(4/9 / (4/9 + 1))
r = √(4/9 / (13/9))
r = √(4/13)
r ≈ 0.632

Conclusion:
The coefficient of correlation between X and Y, given the equation 2X + 3Y + 4 = 0, is approximately 0.632. This value indicates a moderate positive linear relationship between the variables X and Y.
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the relationship between two variables X and Y is given by 2 X + 3 Y +...
R=(-1)
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the relationship between two variables X and Y is given by 2 X + 3 Y + 4 is equal to zero then the value of the coefficient correlation between X and Y Related: Correlation And Regression (Part-1)?
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the relationship between two variables X and Y is given by 2 X + 3 Y + 4 is equal to zero then the value of the coefficient correlation between X and Y Related: Correlation And Regression (Part-1)? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about the relationship between two variables X and Y is given by 2 X + 3 Y + 4 is equal to zero then the value of the coefficient correlation between X and Y Related: Correlation And Regression (Part-1)? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for the relationship between two variables X and Y is given by 2 X + 3 Y + 4 is equal to zero then the value of the coefficient correlation between X and Y Related: Correlation And Regression (Part-1)?.
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