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v Question Completion Status: QUESTION 1 24 points Save Ans The 2017 average yearly working hours per person and mean happiness score (on a scale
v Question Completion Status: QUESTION 1 24 points Save Ans The 2017 average yearly working hours per person and mean happiness score (on a scale from 0 10) for 14 world countries are given in the table below. The scatterplot for these values is also given. Use this information to answer the following questions. Round all numeric answers to 3 decimal places. 017 Average Working 017 Mean Happiness Score Hours Lithuania 1844 --_ Korea ___ -_ _ United 1670 7.1 Kingdom United 1757 7.0 States I Happiness vs. Working Hours in 2017. n = 14 I Question Completion Status: 7.5 6.5 a Mean Happiness Score 5.5 4.5 4 3.5 1000 1200 1400 1600 1800 2000 2200 2400 Average Yearly Working Hours a) (3 pts.) Suppose we want to use average yearly working hours to predict a country's mean happiness score. What is the explanatory variable? b) (3 pts.) Suppose we want to use average yearly working hours to predict a country's mean happiness score. What is the response variable? c) (3 pts.) Describe the form, direction, and strength of the relationship. d) (3 pts.) What is the value of the correlation coefficient between average yearly working hours and mean happiness score? e) (3 pts.) What percentage of the variation in mean happiness score is explained by average yearly working hours? f) (3 pts.) What is the equation of the least-squares regression line for using average yearly working hours to predict mean happiness score? g) (3 pts.) The 2017 average yearly working hours for Luxembourg was 1519 hours. Use the least-squares regression line to predict the 2017 mean happiness score for Luxembourg. h) (3 pts.) The actual 2017 mean happiness score for Luxembourg was 7.1. Does the model overestimate, underestimate or accurately predict Luxembourg's mean happiness score? For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 10pt IE V A v
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