Answered: A sociologist is interested in the…

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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A sociologist is interested in the relation between x = number of job changes and y = annual salary (in thousands of dollars) for people living in the Nashville area. A random sample of 10 people employed in Nashville provided the following information.

x _{(number of job changes)}	5	3	4	6	1	5	9	10	10	3
y _{(Salary in $1000)}	36	35	38	32	32	38	43	37	40	33

In this setting we have Σx = 56, Σy = 364, Σx² = 402, Σy² = 13,364, and Σxy = 2107.Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.)

r =
r² =

(c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.)

r =
r² =

What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)
%

(d) Test the claim that the population correlation coefficient ? is positive at the 5% level of significance. (Round your test statistic to three decimal places.)

t =

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