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A) compute the coveriance B) compute the coefficient of correlation. C) based on

ID: 3354161 • Letter: A

Question

A) compute the coveriance B) compute the coefficient of correlation. C) based on parts a and b what conclusions can be reached about the relationship between the GDP and social media use? mathxl.com Chapter 3 9 of 9 (8 complete) nedia networking i Table of GDP and social media usage king sites) and the GDP n be reached about P and social media GDP (PPP) 6,965 17,943 4,949 Social Media Usage (%) 89 87 8 6,022 6,658 14,084 81 15,917 4,590 16,584 19,861 18,148 3,686 19,656 75 79 74 75 74 73 72 70 71 3,977 13,334 16,892 71 72 70 61 6,433 6,730 click Check Answer Print Done 28

Explanation / Answer

Let X be GDP and Y be % Social Media Usage

A and B)

Mean of X, Mx= 10622.458

Mean of Y, My=75.292

See the calculations below-

(X - Mx)2 = SSx = 718472177.958

(X - Mx)2 = SSx = 718472177.958

(X - Mx)(Y - My) = -118927.208

Covariance= (X - Mx)(Y - My)/n-1

n=24

So, Covariance= -118927.208/23= -5170.74

Correlation Coefficient, r = ((X - My)(Y - Mx)) / ((SSx)(SSy))

r = -118927.208 / ((718472177.958)(1976.958)) = -0.0998

Correlation Coefficient= -0.0998

C)

Weak and negative correlation

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