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 7 119.3 10 137.1 14 157.5 Part (a)   Part (b)         Part (c)   Part (d) Calculate the least squares line. Put the equation in the form of:  ŷ = a + bx.  (Round your answers to three decimal places.) ŷ =  +  x Part (e) Find the correlation coefficient r. (Round your answer to four decimal places.) r =  Is it significant? YesNo     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 twelve-year-old. (Use your equation from part (d). Round your answer to two decimal places.)  cm

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.