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One regression coefficient of two perfectly correlated variables is -0.25. Find the value of the other regression coefficient.?
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One regression coefficient of two perfectly correlated variables is -0...
Calculation of the Other Regression Coefficient:
To find the value of the other regression coefficient when one regression coefficient is -0.25, we need to consider the fact that the two variables are perfectly correlated.
Explanation:
When two variables are perfectly correlated, it means that they move in perfect harmony with each other. In this case, it is important to note that the sum of the two regression coefficients must equal 1.
Mathematical Formula:
Given that one regression coefficient is -0.25, we can calculate the other regression coefficient using the formula:
Regression Coefficient 1 + Regression Coefficient 2 = 1
-0.25 + Regression Coefficient 2 = 1
Regression Coefficient 2 = 1 - (-0.25)
Regression Coefficient 2 = 1.25
Result:
Therefore, the value of the other regression coefficient is 1.25 when one regression coefficient is -0.25 in the case of perfectly correlated variables. This relationship ensures that the sum of the regression coefficients remains equal to 1, reflecting the perfect correlation between the variables.
To find the value of the other regression coefficient when one regression coefficient is -0.25, we need to consider the fact that the two variables are perfectly correlated.
Explanation:
When two variables are perfectly correlated, it means that they move in perfect harmony with each other. In this case, it is important to note that the sum of the two regression coefficients must equal 1.
Mathematical Formula:
Given that one regression coefficient is -0.25, we can calculate the other regression coefficient using the formula:
Regression Coefficient 1 + Regression Coefficient 2 = 1
-0.25 + Regression Coefficient 2 = 1
Regression Coefficient 2 = 1 - (-0.25)
Regression Coefficient 2 = 1.25
Result:
Therefore, the value of the other regression coefficient is 1.25 when one regression coefficient is -0.25 in the case of perfectly correlated variables. This relationship ensures that the sum of the regression coefficients remains equal to 1, reflecting the perfect correlation between the variables.
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One regression coefficient of two perfectly correlated variables is -0.25. Find the value of the other regression coefficient.?
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One regression coefficient of two perfectly correlated variables is -0.25. Find the value of the other regression coefficient.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about One regression coefficient of two perfectly correlated variables is -0.25. Find the value of the other regression coefficient.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One regression coefficient of two perfectly correlated variables is -0.25. Find the value of the other regression coefficient.?.
One regression coefficient of two perfectly correlated variables is -0.25. Find the value of the other regression coefficient.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about One regression coefficient of two perfectly correlated variables is -0.25. Find the value of the other regression coefficient.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One regression coefficient of two perfectly correlated variables is -0.25. Find the value of the other regression coefficient.?.
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