Copy the data into Excel or use your calculator to determine the line of best fit (regression equation). Assume x is the independent variable and y is the dependent variable. X y 3.1 98.1 3.2 94.7 3.7 92 4.3 89.8 4 87.5 5.5 85 6.7 82 7.4 77.8 7.4 72.1 10.6 53.5 y=-0.389155.67 y = -5.264x+112.68 y 155.67-0.389 = y -5.264+ 112.68x

Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4

Life Expectancy The following table shows the average life expectancy, in years, of a child born in the given year42 Life expectancy 2005 77.6 2007 78.1 2009 78.5 2011 78.7 2013 78.8 a. Find the equation of the regression line, and explain the meaning of its slope. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 2019? e. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 1580?2300