1. Table 1 provides heights in centimeters attained by a boy and a girl on each of their birthdays from 4 to 20 years of age. Create a line graph from these data, plotting height on the vertical axis and age on the horizontal axis. 5 ces Table 1. Height (cm) 10 13 15 16 18 20 Age 4 5 6 7 8 9 11 12 14 17 19 lyr) Boy 105 111 120 126 130 137 143 148 156 164 171 176 179 181 182 183 183 Girl 98 104 111 112 123 128 133 138 145 152 156 157 158 158 159 159 159 2. From these height data, calculate change in height from one birthday to the next. Make a column of numbers starting at 4.5 and going to 19.5. These represent the midpoint of the time interval and will be used as the horizontal axis. Subtract from the adjacent column-for example, subtract height at 4 years from height at 5 years (this is 6 cm) - and repeat for all the age groups 3. Create a graph from these data. This is your height velocity curve. 4. Table 2 shows the growth in weight in kilograms for a girl and a boy from 4 years to 17 years of age. Follow the same steps you took for height in order to create distance and velocity curves for weight. Calculate the change in weight for every age interval and then graph these values. Table 2. Weight (kg) 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Age lyr) Boy 18 20 23 26 28 32 36 41 47 52 58 64 69 73 Girl 14 16 18 20 23 26 29 33 37 41 46 48 50 51 You only need to submit the answers to the following questions: Questions: 1. Look at your height and weight distance curves. Can you see points of apparent transition from a period of faster growth (where the curve is steep) to a period of slower growth (where the curve goes up gradually)? What about transitions from a period of slower growth to a period of faster growth (inflection points)? 2. What is the age of each child at the inflection points you identified? Developmentalists often use the term age at takeoff to describe the age at an inflection point marking a transition from slower to faster growth What is the age at takeoff for any such inflection point on the two distance curves you plotted? 3. Look at your two velocity curves. In general, is the rate of growth faster at younger ages or at older ages? What is the basis for your answer? Do you see peaks and valleys in your velocity curves? At what ages? What do the velocity curves show when the distance curves plateau? 4. Look at the most pronounced peaks on your velocity curves. Look at the distance curves around the age corresponding to the peak height velocity and the peak weight velocity. What is characteristic of the distance curves at these points