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Nataly_w [17]
3 years ago
14

Closing prices of two stocks are recorded for 50 trading days. The sample standard deviation of stock X is 4.665 and the sample

standard deviation of stock Y is 8.427. The sample covariance is 35.826.
Calculate the sample correlation coefficient. (Round your answer to 4 decimal places.)
Correlation coefficient
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
6 0

Answer:

0.9113

Step-by-step explanation:

Given :

Sample standard deviation of Stock X = 4.665

Sample standard deviation of Stock Y = 8.427

Sample Covariance = 35.826

The Correlation Coefficient, R is related to sample covariance and standard deviation using the formular :

R = Covariance(X, Y) / (SD(X) * (SD(Y))

R = 35.826 / (4.665 * 8.427)

R = 35.826 / 39.311955

R = 0.9113

Hence, correlation Coefficient, R = 0.9113 which depicts a strong positive relationship.

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