In Exercise 2.172 on page 114, we introduced the dataset HappyPlanetIndex. This exercise asks you to use technology to investigate more variables and relationships in that dataset.(a) Use technology to create a frequency table for the number of countries in each of the different regions. (The code for each region is given in Exercise 2.172 on page 114).(b) Use technology to create both a histogram and a boxplot for any one of the quantitative variables. Describe the shape of the distribution and indicate whether there are any outliers. In addition, give summary statistics (mean, standard deviation, five number summary) for thevariable.(c) For a different quantitative variable than the one you used in part (b), create a side-by-side boxplot for your variable by region. Discuss what you see in the graph.(d) Pick two quantitative variables where you believe one might be useful to predict the other. Create a scatterplot and discuss what you see. Find the correlation between the variables and find the regression line. Use the regression line to make at least one prediction.

Exercise 2.172 on page 114

The website TED.com offers free short presentations, called TED Talks, on a variety of interesting subjects. One of the talks is called ??The Happy Planet Index,? by Nic Marks.61 Marks comments that we regularly measure and report economic data on countries, such as Gross National Product, when we really ought to be measuring the well-being of the people in the countries. He calls this measure Happiness, with larger numbers indicating greater happiness, health, and well-being. In addition, he believes we ought to be measuring the ecological footprint, per capita, of the country, with larger numbers indicating greater use of resources (such as gas and electricity) and more damage to the planet. Figure 2.57 shows a scatterplot of these two quantitative variables. The data are given in HappyPlanetIndex.

Figure 2.57

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9. C2 7 3 4 6. 8. 10 Ecological Footprint Happiness