CA Foundation Exam > CA Foundation Questions > Given the following equation : 2x-3y=10 and 3...
Start Learning for Free
Given the following equation : 2x-3y=10 and 3x 4y=15 , which one is on regression equation of x on y?
Most Upvoted Answer
Given the following equation : 2x-3y=10 and 3x 4y=15 , which one is on...
Regression Equation of X on Y
Regression analysis is a statistical tool that is used to establish the relationship between two or more variables. The regression equation of x on y is a formula used to predict the value of x given the value of y. In other words, it shows how changes in the dependent variable (y) affect the independent variable (x).
Step 1: Find the slope of the regression line
The slope of the regression line is given by:
b = r * (Sy / Sx)
Where r is the correlation coefficient, Sy is the standard deviation of y and Sx is the standard deviation of x.
Step 2: Find the intercept of the regression line
The intercept of the regression line is given by:
a = y - b * x
Where y is the mean of y, x is the mean of x and b is the slope of the regression line.
Step 3: Plug in the values
Now that we have the slope and intercept, we can plug them into the regression equation:
x = a + b * y
This equation tells us how to predict the value of x given the value of y.
Applying the steps to the given equations
Let's apply these steps to the given equations:
2x - 3y = 10
3x + 4y = 15
Step 1: Find the slope of the regression line
First, we need to solve for x in both equations:
2x - 3y = 10
2x = 3y + 10
x = (3/2)y + 5
3x + 4y = 15
3x = -4y + 15
x = (-4/3)y + 5
Now we can calculate the correlation coefficient:
r = (-4/3) * (Sy / Sx)
r = (3/4) * (Sy / Sx)
Step 2: Find the intercept of the regression line
We can find the mean of x and y:
x̄ = (5 + 5) / 2 = 5
ȳ = (10/3 + 5/4) / 2 = 2.9167
Now we can calculate the intercept:
a = ȳ - b * x̄
a = 2.9167 - (3/4) * 5
a = -0.8333
Step 3: Plug in the values
Finally, we can plug in the values to get the regression equation:
x = -0.8333 + (3/4) * y
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 equation : 2x-3y=10 and 3x 4y=15 , which one is on regression equation of x on y?
Question Description
Given the following equation : 2x-3y=10 and 3x 4y=15 , which one is on regression equation of x on y? 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 equation : 2x-3y=10 and 3x 4y=15 , which one is on regression equation of x on y? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given the following equation : 2x-3y=10 and 3x 4y=15 , which one is on regression equation of x on y?.
Given the following equation : 2x-3y=10 and 3x 4y=15 , which one is on regression equation of x on y? 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 equation : 2x-3y=10 and 3x 4y=15 , which one is on regression equation of x on y? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given the following equation : 2x-3y=10 and 3x 4y=15 , which one is on regression equation of x on y?.
Solutions for Given the following equation : 2x-3y=10 and 3x 4y=15 , which one is on regression equation of x on y? 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 equation : 2x-3y=10 and 3x 4y=15 , which one is on regression equation of x on y? defined & explained in the simplest way possible. Besides giving the explanation of
Given the following equation : 2x-3y=10 and 3x 4y=15 , which one is on regression equation of x on y?, a detailed solution for Given the following equation : 2x-3y=10 and 3x 4y=15 , which one is on regression equation of x on y? has been provided alongside types of Given the following equation : 2x-3y=10 and 3x 4y=15 , which one is on regression equation of x on y? theory, EduRev gives you an
ample number of questions to practice Given the following equation : 2x-3y=10 and 3x 4y=15 , which one is on regression equation of x on y? 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