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Table 2 Autocorrelation coefficients for concentrations and for 2nd differences of the concentrations.

From: How to determine life expectancy change of air pollution mortality: a time series study

SO2 concentrations
c(day)
day day-1 day-2 day-3 day-4 day-5
day 1.00      
day-1 0.60 1.00     
day-2 0.38 0.60 1.00    
day-3 0.31 0.38 0.60 1.00   
day-4 0.28 0.31 0.38 0.60 1.00  
day-5 0.28 0.28 0.31 0.38 0.60 1.00
SO2 2nd differences
[c(day) - 2 c(day-1) + c(day-2)]
day day-1 day-2 day-3 day-4 day-5
day 1.00      
day-1 -0.51 1.00     
day-2 -0.06 -0.51 1.00    
day-3 0.07 -0.06 -0.51 1.00   
day-4 -0.01 0.06 -0.06 -0.51 1.00  
day-5 0.01 -0.01 0.06 -0.06 -0.51 1.00
PM10 concentrations
c(day)
day day-1 day-2 day-3 day-4 day-5
day 1.00      
day-1 0.82 1.00     
day-2 0.65 0.82 1.00    
day-3 0.53 0.65 0.82 1.00   
day-4 0.46 0.53 0.65 0.82 1.00  
day-5 0.41 0.46 0.53 0.65 0.82 1.00
PM10 2nd differences
[c(day) - 2 c(day-1) + c(day-2)]
day day-1 day-2 day-3 day-4 day-5
day 1.00      
day-1 -0.46 1.00     
day-2 -0.04 -0.46 1.00    
day-3 -0.03 -0.04 -0.46 1.00   
day-4 0.02 -0.03 -0.04 -0.46 1.00  
day-5 -0.01 0.02 -0.03 -0.04 -0.46 1.00