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two lines are of regression are given by 5 x + 7 Y - 22 is equal to zero and 6 X + 2y - 22 is equals to zero if the variance of Y is 15 find the standard deviation of x
? Related: Correlation And Regression (Part-1)
Most Upvoted Answer
two lines are of regression are given by 5 x + 7 Y - 22 is equal to ze...
Explanation:
Regression Lines:
Two regression lines are given as follows:
- 5x + 7y - 22 = 0
- 6x + 2y - 22 = 0
Variance of Y:
The variance of Y is given as 15.
Standard Deviation of X:
We need to find the standard deviation of X.
Formula:
The formula to find the standard deviation of X is as follows:
- Standard Deviation of X = √(∑(x - x̄)² / N)
Where,
- x is the value of X
- x̄ is the mean of X
- N is the total number of values of X
Steps to Find Standard Deviation of X:
We need to follow the below steps to find the standard deviation of X.
- Firstly, we need to find the mean of X (x̄).
- Secondly, we need to calculate the sum of squares of deviations of each value of X from the mean of X.
- Thirdly, we need to divide the sum of squares of deviations of each value of X from the mean of X by the total number of values of X (N).
- Finally, we need to take the square root of the result obtained in step 3 to get the standard deviation of X.
Conclusion:
Thus, we can find the standard deviation of X using the above formula and steps. The given regression lines and variance of Y are used to find the standard deviation of X.
Regression Lines:
Two regression lines are given as follows:
- 5x + 7y - 22 = 0
- 6x + 2y - 22 = 0
Variance of Y:
The variance of Y is given as 15.
Standard Deviation of X:
We need to find the standard deviation of X.
Formula:
The formula to find the standard deviation of X is as follows:
- Standard Deviation of X = √(∑(x - x̄)² / N)
Where,
- x is the value of X
- x̄ is the mean of X
- N is the total number of values of X
Steps to Find Standard Deviation of X:
We need to follow the below steps to find the standard deviation of X.
- Firstly, we need to find the mean of X (x̄).
- Secondly, we need to calculate the sum of squares of deviations of each value of X from the mean of X.
- Thirdly, we need to divide the sum of squares of deviations of each value of X from the mean of X by the total number of values of X (N).
- Finally, we need to take the square root of the result obtained in step 3 to get the standard deviation of X.
Conclusion:
Thus, we can find the standard deviation of X using the above formula and steps. The given regression lines and variance of Y are used to find the standard deviation of X.
Community Answer
two lines are of regression are given by 5 x + 7 Y - 22 is equal to ze...
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two lines are of regression are given by 5 x + 7 Y - 22 is equal to zero and 6 X + 2y - 22 is equals to zero if the variance of Y is 15 find the standard deviation of x Related: Correlation And Regression (Part-1)?
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two lines are of regression are given by 5 x + 7 Y - 22 is equal to zero and 6 X + 2y - 22 is equals to zero if the variance of Y is 15 find the standard deviation of x 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 two lines are of regression are given by 5 x + 7 Y - 22 is equal to zero and 6 X + 2y - 22 is equals to zero if the variance of Y is 15 find the standard deviation of x 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 two lines are of regression are given by 5 x + 7 Y - 22 is equal to zero and 6 X + 2y - 22 is equals to zero if the variance of Y is 15 find the standard deviation of x Related: Correlation And Regression (Part-1)?.
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