Consider the “height-for-age” data below:
Table 3: Height for age data
AgeinYears 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Heightincm 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 determination and state what it tell us about 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]
[2] ii) Will the linear models be the best model for "height-for-age data"? JUSTIFY YOUR ANS
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