The table below shows the life expectancy for an individual born in the United States in certain years. Year of Birth Life Expectancy 1930 59.7 1940 62.9 1950 70.2 1965 69.7 1973 71.4 1982 74.5 1987 75 1992 75.7 2010 78.7 Part (a) Decide which variable should be the independent variable and which should be the dependent variable. O Independent: life expectancy; Dependent: year of birth Independent: year of birth; Dependent: life expectancy Part (b) Draw a scatter plot of the ordered pairs. Life Life Expectancy Expectancy 80 ... 806 70 . . . . 70 . . .. . 60% 60 50 40 30 30 20 20 10 Year of 10 Year of 1950 1970 1990 2010 Birth 1950 1970 1990 2010 Birth Life Life Expectancy Expectancy 80 . . . . 806 70 . . 70 . . .. 60 60 501 50 40 40 30 30 20 20 10 Year of 10 Year of O 1950 1970 1990 2010 Birth O 1950 1970 1990 2010 Birth Part (c) Calculate the least squares line. Put the equation in the form of y = a + bx. (Round your answers to three decimal places.) J+L x Part (d) Find the correlation coefficient r. (Round your answer to four decimal places.) Is it significant? Yes O No Part (e) Find the estimated life expectancy for an individual born in 1973 and for one born in 2010. (Round your answers to one decimal place.) Birthdate in 1973 Birthdate in 2010: Part (1) Why aren't the answers to part (e) the same as the values in the table that correspond to those years? The answers will be different each time you calculate a least squares line. The answers are different because of errors in recording the life expectancy. The answers are different because not all data points will fall on the regression line unless the correlation is perfect. The answers are different because people live longer each year. Part (9) Use the two points in part (e) to plot the least squares line on your graph from part (b). Life Life Expectancy Expectancy 80 80 70 70 60 606 40 40 30 30 20 20 10 Year of Year of O 1970 1990 2010 Birth O 1950 1970 1990 2 2010 Birth Life Life Expectancy Expectancy 80 80 70 . ... 70 . .... 60 60 50 40 40 30 30 20 20 10 Year of 10 Year of O 1950 1970 1990 2010 Birth O 1950 1970 1990 2010 Birth Part (h) Based on the data, is there a linear relationship between the year of birth and life expectancy? Yes, there is a linear relation between the year of birth and life expectancy. No, there is not a linear relationship between the year of birth and life expectancy. Part (i) Are there any outliers in the data? Yes, 1930 and 2010 are outliers. Yes, 1930 and 1950 are outliers. Yes, 1950 is an outlier No, there are no outliers. Part (i) Using the least squares line, find the estimated tancy for an individual born in 1880. (Round your answer to one decimal place.) Does the least squares line give an accurate estimate for that year? Explain why or why not. Yes, because the estimate is over 50 years. No, because 1880 is outside the domain of the least squares line. Part (k) What is the slope of the least-squares (best-fit) line? (Round your answer to three decimal places.) Interpret the slope. (Round your answer to three decimal places.) As the | --Select-- increases by one year, the [---Select- increases by years