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The coefficient of correlation r between X and Y when :cov (x, y) =-16.5 var(x) =2.89, var(y) =100is: a) -0 . 97 b)0.97 c) 0.89 d) - 0.89 correct answer is option a) -. 97 can you solve this question.?
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The coefficient of correlation r between X and Y when :cov (x, y) =-16...
Calculation of Coefficient of Correlation (r)

Given,
cov(x,y) = -16.5
var(x) = 2.89
var(y) = 100

Formula for calculating coefficient of correlation (r) is:

r = cov(x,y) / (σx * σy)

where,
cov(x,y) = covariance between x and y
σx = standard deviation of x
σy = standard deviation of y

Calculation of Standard Deviation

We are given variance of x and y, so we can calculate standard deviation by taking square root of variance.

σx = √var(x) = √2.89 = 1.70
σy = √var(y) = √100 = 10

Now, substituting the values in the formula of r, we get:

r = -16.5 / (1.70 * 10) = -0.97

Therefore, the coefficient of correlation (r) between X and Y is -0.97.

Answer: a) -0.97
Community Answer
The coefficient of correlation r between X and Y when :cov (x, y) =-16...
R =cov (x, y) /S.D 'X' *S.D 'Y' R =-16.5 /1.7 *10 R = - 16.5 /17 R. = -0.9705Answer
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The coefficient of correlation r between X and Y when :cov (x, y) =-16.5 var(x) =2.89, var(y) =100is: a) -0 . 97 b)0.97 c) 0.89 d) - 0.89 correct answer is option a) -. 97 can you solve this question.?
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The coefficient of correlation r between X and Y when :cov (x, y) =-16.5 var(x) =2.89, var(y) =100is: a) -0 . 97 b)0.97 c) 0.89 d) - 0.89 correct answer is option a) -. 97 can you solve this question.? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The coefficient of correlation r between X and Y when :cov (x, y) =-16.5 var(x) =2.89, var(y) =100is: a) -0 . 97 b)0.97 c) 0.89 d) - 0.89 correct answer is option a) -. 97 can you solve this question.? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The coefficient of correlation r between X and Y when :cov (x, y) =-16.5 var(x) =2.89, var(y) =100is: a) -0 . 97 b)0.97 c) 0.89 d) - 0.89 correct answer is option a) -. 97 can you solve this question.?.
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