CA Foundation Exam > CA Foundation Questions > Given the following data Variable X Y Mean 40...
Start Learning for Free
Given the following data Variable X Y Mean 40 60 SD 3 5 Coefficient of correlation 0.4 What is the most likely value of „X” when Y= 50?
Most Upvoted Answer
Given the following data Variable X Y Mean 40 60 SD 3 5 Coefficient of...
Calculation of Most Likely Value of X when Y= 50
Given data:
- X Mean = 40
- Y Mean = 60
- X SD = 3
- Y SD = 5
- Coefficient of Correlation = 0.4
Formula:
- Regression Equation: Y = a + bX
- b = r(SD of Y/SD of X)
- a = Y Mean - b(X Mean)
Calculation:
- b = 0.4(5/3) = 0.67
- a = 60 - 0.67(40) = 34.8
- Y = 50
- X = (Y - a)/b = (50 - 34.8)/0.67 = 22.69
Answer:
The most likely value of X when Y = 50 is 22.69.
Explanation:
The given data is used to calculate the regression equation, which is used to find the most likely value of X when Y = 50. The formula for the regression equation is Y = a + bX, where a is the intercept and b is the slope. The slope is calculated using the formula b = r(SD of Y/SD of X), where r is the coefficient of correlation, SD of Y is the standard deviation of Y, and SD of X is the standard deviation of X. The intercept is calculated using the formula a = Y Mean - b(X Mean).
Once the regression equation is calculated, the value of X is found by plugging in the value of Y. In this case, the value of Y is 50. The formula X = (Y - a)/b is used to find the value of X. This formula rearranges the regression equation to solve for X when Y is known.
Therefore, the most likely value of X when Y = 50 is 22.69.
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
Given the following data Variable X Y Mean 40 60 SD 3 5 Coefficient of correlation 0.4 What is the most likely value of „X” when Y= 50?
Question Description
Given the following data Variable X Y Mean 40 60 SD 3 5 Coefficient of correlation 0.4 What is the most likely value of „X” when Y= 50? 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 Given the following data Variable X Y Mean 40 60 SD 3 5 Coefficient of correlation 0.4 What is the most likely value of „X” when Y= 50? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given the following data Variable X Y Mean 40 60 SD 3 5 Coefficient of correlation 0.4 What is the most likely value of „X” when Y= 50?.
Given the following data Variable X Y Mean 40 60 SD 3 5 Coefficient of correlation 0.4 What is the most likely value of „X” when Y= 50? 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 Given the following data Variable X Y Mean 40 60 SD 3 5 Coefficient of correlation 0.4 What is the most likely value of „X” when Y= 50? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given the following data Variable X Y Mean 40 60 SD 3 5 Coefficient of correlation 0.4 What is the most likely value of „X” when Y= 50?.
Solutions for Given the following data Variable X Y Mean 40 60 SD 3 5 Coefficient of correlation 0.4 What is the most likely value of „X” when Y= 50? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of Given the following data Variable X Y Mean 40 60 SD 3 5 Coefficient of correlation 0.4 What is the most likely value of „X” when Y= 50? defined & explained in the simplest way possible. Besides giving the explanation of
Given the following data Variable X Y Mean 40 60 SD 3 5 Coefficient of correlation 0.4 What is the most likely value of „X” when Y= 50?, a detailed solution for Given the following data Variable X Y Mean 40 60 SD 3 5 Coefficient of correlation 0.4 What is the most likely value of „X” when Y= 50? has been provided alongside types of Given the following data Variable X Y Mean 40 60 SD 3 5 Coefficient of correlation 0.4 What is the most likely value of „X” when Y= 50? theory, EduRev gives you an
ample number of questions to practice Given the following data Variable X Y Mean 40 60 SD 3 5 Coefficient of correlation 0.4 What is the most likely value of „X” when Y= 50? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup