Question: Given the air-pollution data in table 1.5, examine the pairs X 5 = NO 2 and X 6 = O 3 for bivariate normality. (a)

Given the air-pollution data in table 1.5, examine the pairs X 5 = NO 2 and X 6 = O 3 for bivariate normality.

(a) Calculate statistical distances 

(x; - x)'S(x; - x), j = 1,2,..42,

where

 

(b) Determine the proportion of observation , 

falling within the approximate 50% probability contour of a bivariate normal distribution.

(c) Construct a chi-square plot of the ordered distances in part a.

(x; - x)'S(x; - x), j = 1,2,..42,

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