B Com Exam > B Com Questions > calculate the Karl person co-efficient of cor...
Start Learning for Free
calculate the Karl person co-efficient of correlation between the hight of father and son from the following data hight of father :63,64,65,67,68,69,69,70,71,71hight of son : 65,63,63,65,67,67,68,7168,69
?
Most Upvoted Answer
calculate the Karl person co-efficient of correlation between the high...
To calculate the Karl Pearson coefficient of correlation, we first need to find the mean and standard deviation of both the heights of father and son.
Mean of father's height (X̄) = (63+64+65+67+68+69+69+70+71+71)/10 = 67.7
Standard deviation of father's height (sX) = 2.524
Mean of son's height (Ȳ) = (65+63+63+65+67+67+68+71+68+69)/10 = 66.6
Standard deviation of son's height (sY) = 2.101
Now, we can calculate the Karl Pearson coefficient of correlation using the formula:
r = ∑((X-X̄)/sX) * ((Y-Ȳ)/sY) / (n-1)
Where, X and Y are the individual values of father's and son's height, n is the number of observations.
Using the above formula, we get:
r = (0.08*-0.19 + 0.16*-0.49 + 0.24*-0.49 + 0.44*0.30 + 0.52*0.61 + 0.64*0.61 + 0.64*0.93 + 0.84*0.93 + 0.92*1.25 + 0.92*1.25) / (10-1)
r = 0.758
Therefore, the Karl Pearson coefficient of correlation between the height of father and son is 0.758, which indicates a strong positive correlation between the two variables.
Mean of father's height (X̄) = (63+64+65+67+68+69+69+70+71+71)/10 = 67.7
Standard deviation of father's height (sX) = 2.524
Mean of son's height (Ȳ) = (65+63+63+65+67+67+68+71+68+69)/10 = 66.6
Standard deviation of son's height (sY) = 2.101
Now, we can calculate the Karl Pearson coefficient of correlation using the formula:
r = ∑((X-X̄)/sX) * ((Y-Ȳ)/sY) / (n-1)
Where, X and Y are the individual values of father's and son's height, n is the number of observations.
Using the above formula, we get:
r = (0.08*-0.19 + 0.16*-0.49 + 0.24*-0.49 + 0.44*0.30 + 0.52*0.61 + 0.64*0.61 + 0.64*0.93 + 0.84*0.93 + 0.92*1.25 + 0.92*1.25) / (10-1)
r = 0.758
Therefore, the Karl Pearson coefficient of correlation between the height of father and son is 0.758, which indicates a strong positive correlation between the two variables.
Community Answer
calculate the Karl person co-efficient of correlation between the high...
|
Explore Courses for B Com exam
|
|
Similar B Com Doubts
calculate the Karl person co-efficient of correlation between the hight of father and son from the following data hight of father :63,64,65,67,68,69,69,70,71,71hight of son : 65,63,63,65,67,67,68,7168,69 Related: Correlation & Co-Efficient, Business Mathematics & Statistics?
Question Description
calculate the Karl person co-efficient of correlation between the hight of father and son from the following data hight of father :63,64,65,67,68,69,69,70,71,71hight of son : 65,63,63,65,67,67,68,7168,69 Related: Correlation & Co-Efficient, Business Mathematics & Statistics? for B Com 2024 is part of B Com preparation. The Question and answers have been prepared according to the B Com exam syllabus. Information about calculate the Karl person co-efficient of correlation between the hight of father and son from the following data hight of father :63,64,65,67,68,69,69,70,71,71hight of son : 65,63,63,65,67,67,68,7168,69 Related: Correlation & Co-Efficient, Business Mathematics & Statistics? covers all topics & solutions for B Com 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for calculate the Karl person co-efficient of correlation between the hight of father and son from the following data hight of father :63,64,65,67,68,69,69,70,71,71hight of son : 65,63,63,65,67,67,68,7168,69 Related: Correlation & Co-Efficient, Business Mathematics & Statistics?.
calculate the Karl person co-efficient of correlation between the hight of father and son from the following data hight of father :63,64,65,67,68,69,69,70,71,71hight of son : 65,63,63,65,67,67,68,7168,69 Related: Correlation & Co-Efficient, Business Mathematics & Statistics? for B Com 2024 is part of B Com preparation. The Question and answers have been prepared according to the B Com exam syllabus. Information about calculate the Karl person co-efficient of correlation between the hight of father and son from the following data hight of father :63,64,65,67,68,69,69,70,71,71hight of son : 65,63,63,65,67,67,68,7168,69 Related: Correlation & Co-Efficient, Business Mathematics & Statistics? covers all topics & solutions for B Com 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for calculate the Karl person co-efficient of correlation between the hight of father and son from the following data hight of father :63,64,65,67,68,69,69,70,71,71hight of son : 65,63,63,65,67,67,68,7168,69 Related: Correlation & Co-Efficient, Business Mathematics & Statistics?.
Solutions for calculate the Karl person co-efficient of correlation between the hight of father and son from the following data hight of father :63,64,65,67,68,69,69,70,71,71hight of son : 65,63,63,65,67,67,68,7168,69 Related: Correlation & Co-Efficient, Business Mathematics & Statistics? in English & in Hindi are available as part of our courses for B Com.
Download more important topics, notes, lectures and mock test series for B Com Exam by signing up for free.
Here you can find the meaning of calculate the Karl person co-efficient of correlation between the hight of father and son from the following data hight of father :63,64,65,67,68,69,69,70,71,71hight of son : 65,63,63,65,67,67,68,7168,69 Related: Correlation & Co-Efficient, Business Mathematics & Statistics? defined & explained in the simplest way possible. Besides giving the explanation of
calculate the Karl person co-efficient of correlation between the hight of father and son from the following data hight of father :63,64,65,67,68,69,69,70,71,71hight of son : 65,63,63,65,67,67,68,7168,69 Related: Correlation & Co-Efficient, Business Mathematics & Statistics?, a detailed solution for calculate the Karl person co-efficient of correlation between the hight of father and son from the following data hight of father :63,64,65,67,68,69,69,70,71,71hight of son : 65,63,63,65,67,67,68,7168,69 Related: Correlation & Co-Efficient, Business Mathematics & Statistics? has been provided alongside types of calculate the Karl person co-efficient of correlation between the hight of father and son from the following data hight of father :63,64,65,67,68,69,69,70,71,71hight of son : 65,63,63,65,67,67,68,7168,69 Related: Correlation & Co-Efficient, Business Mathematics & Statistics? theory, EduRev gives you an
ample number of questions to practice calculate the Karl person co-efficient of correlation between the hight of father and son from the following data hight of father :63,64,65,67,68,69,69,70,71,71hight of son : 65,63,63,65,67,67,68,7168,69 Related: Correlation & Co-Efficient, Business Mathematics & Statistics? tests, examples and also practice B Com tests.
|
|
Explore Courses for B Com 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup