1. (a) From the heights (X1), weights (X2) and ages (X3) of a group of students the following standard deviations and correlation coefficients were obtained: o, = 2.8 inches, o, = 12 lbs and o, = 1.5 years, r,2 = 0.75, r23 = 0.54, and r3, = 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?

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1. (a) From the heights (X1), weights (X2) and ages (X3) of a group of students the following
standard deviations and correlation coefficients were obtained: o, = 2.8 inches, oz =
12 lbs and o, = 1.5 years, r,2 = 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?
Transcribed Image Text:1. (a) From the heights (X1), weights (X2) and ages (X3) of a group of students the following standard deviations and correlation coefficients were obtained: o, = 2.8 inches, oz = 12 lbs and o, = 1.5 years, r,2 = 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?
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