Answered: You investigate the relationship…

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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Question

You investigate the relationship between height and dbh (diameter at breast height) of oak trees. You get the following results:

dbh (cm): 26 49 52 32 15 15 39 41 20 30 46 42 21 40 17 38 13 26 49 26
height(m): 10.2 13.5 16.3 10.8 8.9 10.0 14.2 11.3 9.7 11.4 13.5 13.6 11.6 11.2 7.7 13.1 7.9 10.4 15.6 9.0
Read the data into R.

(a) Calculate the following using R: ̄x , ̄y , SSx, SSy. (Note that to get SSy or SSx, you can just ask R for the variance (var) or standard deviation, and then do the appropriate calculation).
(b) Perform a complete test of the hypothesis that there is no difference in height as dbh increases. Write out all the appropriate steps of a regular hypothesis test (give H0, H1, α, your decision, etc.)
(c) Give the equation of the least squares line

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