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FIGURE 4.8 Scatterplot of the scores in the first two rounds of the 2016 Masters Tournament, for Exercise 4.25. 4.26 Happy states. Human happiness or well-being can be assessed either subjectively or objectively. Subjective assessment can be accomplished by listening to what people say. Objective assessment can be made from data related to well- being such as income, climate, availability of entertainment, housing prices, lack of traffic congestion, and so on. Do subjective and objective assessments agree? To study this, investigators made both subjective and objective
assessments of happiness for each of the 50 states. The subjective measurement was the mean score on a life-satisfaction question found on the Behavioral Risk Factor Surveillance System (BRFSS), which is a state-based system of health surveys. Lower scores indicate a greater degree of happiness. To objectively assess happiness, the investigators computed a mean well-being score (called the compensating-differentials score) for each state, based on objective measures that have been found to be related to happiness or well-being. The states were then ranked according to this score (Rank 1 being the happiest). Figure 4.9 is a scatterplot of mean BRFSS scores (response) against the rank based on
the compensating-differentials (explanatory)15APPY (a) Is there an overall positive association or an overall negative association between mean BRFSS score and rank based on the compensating differentials method? (b) Does the overall association indicate agreement or disagreement between the mean subjective BRFSS score and the ranking based on objective data used in the compensating-differentials method? Are there any outliers? If so, what are the BRFSS scores corresponding to these outliers? (c)
0.050 9 0.025 0.00여 .. D -0.02s -0.050 -0.075 -0.100 010 20 30 40 50 Rank based on the compensating-differentials method Figure 4.9 Moore/Notz/Fligner, The Basic Practike of Statistics, 8e, 2018 WH Freeman and Company FIGURE 4.9 Scatterplot of mean BRFSS score in each state against each states well-being rank, for Exercise 4.26
math   Statistics-And-Probability   
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