Below are the average heights for American boys in 1990. Age (years) Height (cm) birth 50.8 2 83.8 3 91.4 5 106.6 119.3 10 137.1 14 157.5 O Part (a) O Part (b) O Part (c) O Part (d) Calculate the least squares line. Put the equation in the form of: ŷ = a + bx. (Round your answers to three decimal places.) ý = O Part (e) Find the correlation coefficient r. (Round your answer to four decimal places.) r= Is it significant? Yes O No O Part (f) Find the estimated average height for a one-year-old. (Use your equation from part (d). Round your answer to one decimal place.) cm Find the estimated average height for a eleven-year-old. (Use your equation from part (d). Round your answer to two decimal places.) cm O Part (g) Does it appear that a line is the best way to fit the data? Why or why not? O A line does appear to be the best way to fit the data because the data points follow a positive linear trend. O A line is not the best way to fit the data because it does not touch all the data points. O A line is the best way to fit the data because there is only one correct line that will fit a data set. O A line is the best way to fit the data because the slope of the line is positive and the linear correlation is positive.