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April 24, 2014

April 24, 2014

Posted by **tracy12** on Tuesday, June 25, 2013 at 10:50am.

(18, 12), (29, 48), (65, 29), (82, 24), (115, 56), (124, 13)

(a) Calculate the covariance of the set of data. (Give your answer correct to two decimal places.)

Incorrect: Your answer is incorrect. .

(b) Calculate the standard deviation of the six x-values and the standard deviation of the six y-values. (Give your answers correct to three decimal places.)

sx =

sy =

(c) Calculate r, the coefficient of linear correlation, for the data in part (a). (Give your answer correct to two decimal places.)

- math -
**Kuai**, Tuesday, June 25, 2013 at 10:01pma.

dbar = 433/6

var(x) = x^2/n -xbar^2

var(x) = 40715/6 -(433/6)^2 = 1577.81

ybar = 182/6

var(y) = y^2 -ybar^2

var(y) = 7170/6 -(182/6)^2 = 274.89

cov(xy) = (xy)/n -(xbar)(ybar)

cov(xy) = 13513/6 -(433/6)(182/6) = 63.11

b.

sx = 43.51

sy = 18.16

C. r = cov(xy/sqrt(var(x)sqrt(var(y))

r = 63.11/sqrt(1577.81)sqrt(274.89) = 0.0958

r = 0.10

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