Question

From the heights (X1

), weights (X2

) and ages (X3

) of a group of students the following
standard deviations and correlation coefficients were obtained: σ1 = 2.8 inches, σ2 =
12 lbs and σ3 = 1.5 years, r12 = 0.75, r23 = 0.54, and r31 = 0.43.
i. How much contribution does height and age of students make in explaining the
variations in weights?
ii. Determine the rate of change in weight of a student with respect to his/her height at
a certain age.
iii. What would be the expected weight of a student of 18 years of age with 62 inches of
height?

Answer 1

Answer:

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