SECTION 9.3 Measures of Regression and Prediction Intervals 505 12. Median and Mean Hourly Wages The table shows the median and mean hourly wages (in dollars) in 10 states in a recent year. The equation of the regression line is ny = 1.208x + 1.495. (Source: U.S. Census Bureau) Median hourly wage, x 17.43 22.52 18.07 18.56 18.59 Mean hourly wage, y 22.52 29.25 24.05 23.39 23.37 Median hourly wage, x 22.41 18.63 20.08 18.98 19.79 Mean hourly wage, y 28.23 24.52 25.94 24.73 24.64 13. Goals Allowed and Points Earned The table shows the number of goals allowed and the total points earned by the 15 North and West Division teams in the 2020–2021 National Hockey League season. The equation of the regression line is ny = -0.552x + 152.584. (Source: ESPN) Goals allowed, x 190 188 168 161 154 148 154 Points earned, y 51 50 59 55 63 77 72 Goals allowed, x 179 199 170 176 170 160 133 124 Points earned, y 43 49 49 54 63 75 82 82 14. Trees The table shows the heights (in feet) and trunk diameters (in inches) of eight trees. The equation of the regression line is ny = 0.479x - 24.086. Height, x 70 72 75 76 Trunk diameter, y 8.3 10.5 11.0 11.4 Height, x 85 78 77 82 Trunk diameter, y 14.9 14.0 16.3 15.8 15. STEM Employment and Mean Wage The table shows the percentage of employment in STEM (science, technology, engineering, and math) occupations and mean annual wage (in thousands of dollars) for 14 industries in a recent year. The equation of the regression line is ny = 1.224x + 81.643. (Source: U.S. Bureau of Labor Statistics) Percentage of employment in STEM occupations, x 15.4 1.7 11.6 8.0 1.2 27.0 18.7 Mean annual wage, y 102.5 82.7 98.5 95.5 89.3 110.3 107.8 Percentage of employment in STEM occupations, x 3.9 4.8 1.1 0.8 0.1 1.8 8.6 Mean annual wage, y 88.9 82.5 86.4 81.0 72.8 84.3 88.7
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