Consider the "height-for-age" data below:

Table 3: Height for age data

Age in Years 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

Height in cm 102 107 112 116 121 126 130 136 143 149 154 158 161 162 163

a) Make a scatter plot of the data.

[1]

b) Find the least square regression line and add it to the scatter plot in Question 6 a).

[3]

c) Find the coefficient of a determination and state what it tells us the relationship between age and height.

d) Going by the relationship between Age and Height that you have established:

i) What would the expected value of Height be if Age is 90 years?

[2]

ii) Will the linear models be the best model for "height-for-age data"? JUSTIFY YOUR ANSWER!

[2]