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?

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?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

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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