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Is a normal random variable with E(Z)=0 and V(Z)=1Then, In Q-Q plot, the idea is to observe the linear relationship between X and ZXZZX
Quantile - quantile (Q-Q plot)PROCEDURE – EXAMPLEIn the interest of predicting future peak particulate matter values and carbon monoxide levels, 15 observations were obtained from various sites across the united states. Should a normal probability model be used to anticipate carbon monoxide levels in the future?iXiQuantile valuesz-scoresi/(15+1)11.70.0625-1.5652521.80.125-1.3416432.10.1875-1.1180342.40.25-0.8944352.40.3125-0.6708263.40.375-0.4472173.50.4375-0.2236184.10.5094.20.56250.223607104.40.6250.447214114.90.68750.67082125.10.750.894427138.30.81251.118034149.30.8751.341641159.50.93751.565248Sample mean0.500000Sample standard deviation0.279508-2 -1.5 -1 -0.5 00.511.520246810Q-Q plotz-scoresCarbon monoxide levels (Xi)