Compute the sample covariance for the above data. Does this mean there is a posi

Question

Compute the sample covariance for the above data.
Does this mean there is a positive or negative relationship between x and y?

Question 5 The following observations are given for two variables. Relationships.xlas 9 45 34 25 17 24 11 21 9 12 Round all answers to three decimal places a) Compute the sample covariance for the above data. Does this mean there is a positive or negative relationship between x and y? b) Compute the standard deviation for x Compute the standard deviation for y d) Compute the sample correlation coefficient. Is there a strong or weak relationship between x and y?

Explanation / Answer

Using Excel we have

The covariance is computted as =COVARIANCE.S(A2:A9,B2:B9)

The covariance is -27.607

Standard deviation of x [=STDEV.S(B2:B9)] is 8.031

Standard deviation of y [=STDEV.S(A2:A9)] is 13.866

The correlation coefficient is [=CORREL(A2:A9,B2:B9)] is -0.248

There is a weak relationship

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