Answered: Scatterplot of mean BRFSS score in each…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 4.10 is a scatterplot of mean BRFSS scores (response) against the rank based on the compensating differentials

Scatterplot of mean BRFSS score in each state against each state’s well-being rank, for Exercise 4.26.

The graph plots state mean BRFSS score on the vertical axis, ranging from negative 0.100 to 0.050 in increments of 0.025, versus rank based on the compensating-differentials method on the horizontal axis, ranging from 0 to 50 in increments of 10. Fifty points are plotted in a loose cluster scattered across the graph from approximately (2, 0.000) to (50, negative 0.090). The mean BRFSS score on the vertical axis is negative 0.025. The mean rank on the horizontal axis is 25. Two points above the general trend of the cluster are at (9, 0.30) and (35, 0.20). One point below it is located at (11, negative 0.075). All values estimated.

1. Is there an overall positive association or an overall negative association between mean BRFSS score and rank based on the compensating-differentials method?
2. 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?
3. Are there any outliers? If so, what are the BRFSS scores corresponding to these outliers?