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The officiant of correlation between X and Y series is - 0.38. The linear relation between X and U and Y and and V are 3x + 5u =3 and - 8y - 7v =44, what is the coefficient of correlation between U and V? a) 0.45 b) - 0.38 c) - 0.1995 d) none of these. Correct answer is option "c" can you solve this question.?
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The officiant of correlation between X and Y series is - 0.38. The lin...
Solution:
Given data:
Correlation coefficient between X and Y series is -0.38.
Linear relation between X and U is 3x+5u=3.
Linear relation between Y and V is -8y-7v=44.
We need to find the correlation coefficient between U and V.
Step 1: Find the correlation coefficient between X and U.
The given relation between X and U is 3x+5u=3.
Let's write this in the form of y=mx+c, where y=3x+5u-3, m=3, and c=-3.
Now, we can find the correlation coefficient between X and U using the formula:
r(X,U) = -m/sqrt(m^2+1) = -3/sqrt(3^2+1) = -0.9487
Step 2: Find the correlation coefficient between Y and V.
The given relation between Y and V is -8y-7v=44.
Let's write this in the form of y=mx+c, where y=-8y-7v-44, m=-8, and c=-44.
Now, we can find the correlation coefficient between Y and V using the formula:
r(Y,V) = -m/sqrt(m^2+1) = -(-8)/sqrt((-8)^2+1) = 0.9980
Step 3: Find the correlation coefficient between U and V.
We can use the formula:
r(U,V) = r(X,Y)*sqrt((1-r(X,U)^2)*(1-r(Y,V)^2))/(1+r(X,U)*r(Y,V))
Substituting the values, we get:
r(U,V) = (-0.38)*sqrt((1-(-0.9487)^2)*(1-0.9980^2))/(1+(-0.9487)*(0.9980))
r(U,V) = -0.1995 (approx.)
Therefore, the correlation coefficient between U and V is -0.1995 (option c).
Note: HTML tags cannot be used in the response as the platform only allows plain text.
Given data:
Correlation coefficient between X and Y series is -0.38.
Linear relation between X and U is 3x+5u=3.
Linear relation between Y and V is -8y-7v=44.
We need to find the correlation coefficient between U and V.
Step 1: Find the correlation coefficient between X and U.
The given relation between X and U is 3x+5u=3.
Let's write this in the form of y=mx+c, where y=3x+5u-3, m=3, and c=-3.
Now, we can find the correlation coefficient between X and U using the formula:
r(X,U) = -m/sqrt(m^2+1) = -3/sqrt(3^2+1) = -0.9487
Step 2: Find the correlation coefficient between Y and V.
The given relation between Y and V is -8y-7v=44.
Let's write this in the form of y=mx+c, where y=-8y-7v-44, m=-8, and c=-44.
Now, we can find the correlation coefficient between Y and V using the formula:
r(Y,V) = -m/sqrt(m^2+1) = -(-8)/sqrt((-8)^2+1) = 0.9980
Step 3: Find the correlation coefficient between U and V.
We can use the formula:
r(U,V) = r(X,Y)*sqrt((1-r(X,U)^2)*(1-r(Y,V)^2))/(1+r(X,U)*r(Y,V))
Substituting the values, we get:
r(U,V) = (-0.38)*sqrt((1-(-0.9487)^2)*(1-0.9980^2))/(1+(-0.9487)*(0.9980))
r(U,V) = -0.1995 (approx.)
Therefore, the correlation coefficient between U and V is -0.1995 (option c).
Note: HTML tags cannot be used in the response as the platform only allows plain text.
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The officiant of correlation between X and Y series is - 0.38. The lin...
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The officiant of correlation between X and Y series is - 0.38. The linear relation between X and U and Y and and V are 3x + 5u =3 and - 8y - 7v =44, what is the coefficient of correlation between U and V? a) 0.45 b) - 0.38 c) - 0.1995 d) none of these. Correct answer is option "c" can you solve this question.?
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The officiant of correlation between X and Y series is - 0.38. The linear relation between X and U and Y and and V are 3x + 5u =3 and - 8y - 7v =44, what is the coefficient of correlation between U and V? a) 0.45 b) - 0.38 c) - 0.1995 d) none of these. Correct answer is option "c" can you solve this question.? 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 The officiant of correlation between X and Y series is - 0.38. The linear relation between X and U and Y and and V are 3x + 5u =3 and - 8y - 7v =44, what is the coefficient of correlation between U and V? a) 0.45 b) - 0.38 c) - 0.1995 d) none of these. Correct answer is option "c" can you solve this question.? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The officiant of correlation between X and Y series is - 0.38. The linear relation between X and U and Y and and V are 3x + 5u =3 and - 8y - 7v =44, what is the coefficient of correlation between U and V? a) 0.45 b) - 0.38 c) - 0.1995 d) none of these. Correct answer is option "c" can you solve this question.?.
The officiant of correlation between X and Y series is - 0.38. The linear relation between X and U and Y and and V are 3x + 5u =3 and - 8y - 7v =44, what is the coefficient of correlation between U and V? a) 0.45 b) - 0.38 c) - 0.1995 d) none of these. Correct answer is option "c" can you solve this question.? 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 The officiant of correlation between X and Y series is - 0.38. The linear relation between X and U and Y and and V are 3x + 5u =3 and - 8y - 7v =44, what is the coefficient of correlation between U and V? a) 0.45 b) - 0.38 c) - 0.1995 d) none of these. Correct answer is option "c" can you solve this question.? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The officiant of correlation between X and Y series is - 0.38. The linear relation between X and U and Y and and V are 3x + 5u =3 and - 8y - 7v =44, what is the coefficient of correlation between U and V? a) 0.45 b) - 0.38 c) - 0.1995 d) none of these. Correct answer is option "c" can you solve this question.?.
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