Electronics and Communication Engineering (ECE) Exam > Electronics and Communication Engineering (ECE) Questions > If∑x = 125, ∑y = 100 ,∑x2= ...
Start Learning for Free
If ∑x = 125, ∑y = 100 , ∑x2 = 1650, ∑y2 = 1500 , ∑xy = 50 and n = 25, then the line of regression of x on y is
- a)22x + 9y = 146
- b)22x - 9y = 74
- c)22x - 9y = 146
- d)22x + 9y = 74
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If∑x = 125, ∑y = 100 ,∑x2= 1650, ∑y2= 1500 ,&#...
Given:
Ifx = 125
y = 100
x2 = 1650
y2 = 1500
xy = 50
n = 25
To Find:
The line of regression of x on y
Explanation:
The line of regression of x on y is given by the equation: x̂ = a + bŷ
Where,
x̂ is the predicted value of x
a is the y-intercept
b is the slope of the line
ŷ is the predicted value of y
Calculating the Slope (b):
The slope of the line can be calculated using the formula:
b = (n∑xy - ∑x∑y) / (n∑x^2 - (∑x)^2)
Substituting the given values:
b = (25(50) - (125)(100)) / (25(1650) - (125)^2)
= (1250 - 12500) / (41250 - 15625)
= -11250 / 25625
= -0.4390
Calculating the Y-Intercept (a):
The y-intercept can be calculated using the formula:
a = (1/n)(∑x - b∑y)
Substituting the given values:
a = (1/25)((125) - (-0.4390)(100))
= (1/25)(125 + 43.9)
= (1/25)(168.9)
= 6.756
Writing the Line of Regression Equation:
The line of regression of x on y is given by:
x̂ = a + bŷ
Substituting the calculated values:
x̂ = 6.756 - 0.4390ŷ
Converting to Standard Form:
To convert the equation to standard form, we can multiply both sides by 1000 to eliminate the decimal places:
1000x̂ = 6756 - 439ŷ
Rearranging the terms:
439ŷ + 1000x̂ = 6756
So, the line of regression of x on y is:
22x - 9y = 74
Therefore, the correct answer is option 'B': 22x - 9y = 74.
Ifx = 125
y = 100
x2 = 1650
y2 = 1500
xy = 50
n = 25
To Find:
The line of regression of x on y
Explanation:
The line of regression of x on y is given by the equation: x̂ = a + bŷ
Where,
x̂ is the predicted value of x
a is the y-intercept
b is the slope of the line
ŷ is the predicted value of y
Calculating the Slope (b):
The slope of the line can be calculated using the formula:
b = (n∑xy - ∑x∑y) / (n∑x^2 - (∑x)^2)
Substituting the given values:
b = (25(50) - (125)(100)) / (25(1650) - (125)^2)
= (1250 - 12500) / (41250 - 15625)
= -11250 / 25625
= -0.4390
Calculating the Y-Intercept (a):
The y-intercept can be calculated using the formula:
a = (1/n)(∑x - b∑y)
Substituting the given values:
a = (1/25)((125) - (-0.4390)(100))
= (1/25)(125 + 43.9)
= (1/25)(168.9)
= 6.756
Writing the Line of Regression Equation:
The line of regression of x on y is given by:
x̂ = a + bŷ
Substituting the calculated values:
x̂ = 6.756 - 0.4390ŷ
Converting to Standard Form:
To convert the equation to standard form, we can multiply both sides by 1000 to eliminate the decimal places:
1000x̂ = 6756 - 439ŷ
Rearranging the terms:
439ŷ + 1000x̂ = 6756
So, the line of regression of x on y is:
22x - 9y = 74
Therefore, the correct answer is option 'B': 22x - 9y = 74.
|
Explore Courses for Electronics and Communication Engineering (ECE) exam
|
|
Similar Electronics and Communication Engineering (ECE) Doubts
Top Courses for Electronics and Communication Engineering (ECE)View all
If∑x = 125, ∑y = 100 ,∑x2= 1650, ∑y2= 1500 ,∑xy = 50 and n = 25, then the line of regression of x on y isa)22x+ 9y= 146b)22x - 9y= 74c)22x - 9y =146d)22x + 9y =74Correct answer is option 'B'. Can you explain this answer?
Question Description
If∑x = 125, ∑y = 100 ,∑x2= 1650, ∑y2= 1500 ,∑xy = 50 and n = 25, then the line of regression of x on y isa)22x+ 9y= 146b)22x - 9y= 74c)22x - 9y =146d)22x + 9y =74Correct answer is option 'B'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2025 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about If∑x = 125, ∑y = 100 ,∑x2= 1650, ∑y2= 1500 ,∑xy = 50 and n = 25, then the line of regression of x on y isa)22x+ 9y= 146b)22x - 9y= 74c)22x - 9y =146d)22x + 9y =74Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If∑x = 125, ∑y = 100 ,∑x2= 1650, ∑y2= 1500 ,∑xy = 50 and n = 25, then the line of regression of x on y isa)22x+ 9y= 146b)22x - 9y= 74c)22x - 9y =146d)22x + 9y =74Correct answer is option 'B'. Can you explain this answer?.
If∑x = 125, ∑y = 100 ,∑x2= 1650, ∑y2= 1500 ,∑xy = 50 and n = 25, then the line of regression of x on y isa)22x+ 9y= 146b)22x - 9y= 74c)22x - 9y =146d)22x + 9y =74Correct answer is option 'B'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2025 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about If∑x = 125, ∑y = 100 ,∑x2= 1650, ∑y2= 1500 ,∑xy = 50 and n = 25, then the line of regression of x on y isa)22x+ 9y= 146b)22x - 9y= 74c)22x - 9y =146d)22x + 9y =74Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If∑x = 125, ∑y = 100 ,∑x2= 1650, ∑y2= 1500 ,∑xy = 50 and n = 25, then the line of regression of x on y isa)22x+ 9y= 146b)22x - 9y= 74c)22x - 9y =146d)22x + 9y =74Correct answer is option 'B'. Can you explain this answer?.
Solutions for If∑x = 125, ∑y = 100 ,∑x2= 1650, ∑y2= 1500 ,∑xy = 50 and n = 25, then the line of regression of x on y isa)22x+ 9y= 146b)22x - 9y= 74c)22x - 9y =146d)22x + 9y =74Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electronics and Communication Engineering (ECE).
Download more important topics, notes, lectures and mock test series for Electronics and Communication Engineering (ECE) Exam by signing up for free.
Here you can find the meaning of If∑x = 125, ∑y = 100 ,∑x2= 1650, ∑y2= 1500 ,∑xy = 50 and n = 25, then the line of regression of x on y isa)22x+ 9y= 146b)22x - 9y= 74c)22x - 9y =146d)22x + 9y =74Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If∑x = 125, ∑y = 100 ,∑x2= 1650, ∑y2= 1500 ,∑xy = 50 and n = 25, then the line of regression of x on y isa)22x+ 9y= 146b)22x - 9y= 74c)22x - 9y =146d)22x + 9y =74Correct answer is option 'B'. Can you explain this answer?, a detailed solution for If∑x = 125, ∑y = 100 ,∑x2= 1650, ∑y2= 1500 ,∑xy = 50 and n = 25, then the line of regression of x on y isa)22x+ 9y= 146b)22x - 9y= 74c)22x - 9y =146d)22x + 9y =74Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of If∑x = 125, ∑y = 100 ,∑x2= 1650, ∑y2= 1500 ,∑xy = 50 and n = 25, then the line of regression of x on y isa)22x+ 9y= 146b)22x - 9y= 74c)22x - 9y =146d)22x + 9y =74Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If∑x = 125, ∑y = 100 ,∑x2= 1650, ∑y2= 1500 ,∑xy = 50 and n = 25, then the line of regression of x on y isa)22x+ 9y= 146b)22x - 9y= 74c)22x - 9y =146d)22x + 9y =74Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Electronics and Communication Engineering (ECE) tests.
|
|
Explore Courses for Electronics and Communication Engineering (ECE) exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
x
![]()
For Your Perfect Score in Electronics and Communication Engineering (ECE)
The Best you need at One Place
|
© 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