Answered: You wish to determine if there is a…

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 wish to determine if there is a linear correlation between the two variables at a significance level of α=0.005. You have the following bivariate data set.

x	y
46	33
51.4	50.4
48.8	23.9
62.9	29.2
33.7	61.9
48.2	15.4
51.3	46.7
34.7	31.5
56.5	81.7
45.4	26.1
61.7	57.2
58.2	42.2
61	47.3
43.7	87.4
46.1	5.3
47.6	9.6
56.1	6.9
48.3	42.5
35.5	23.1
44.7	48.2

What is the correlation coefficient for this data set?
r =
(report answer accurate to at least 3 decimal places)

To find the p-value for a correlation coefficient, you need to convert to a t-score:t=r⋅√n−2/ 1−r2

This t-score is from a t-distribution with n−2n-2 degrees of freedom.

What is the p-value for this correlation coefficient?
p-value =
(report answer accurate to at least 4 decimal places)

Your final conclusion is that...

There is sufficient sample evidence to support the claim that there is a statistically significant correlation between the two variables.
There is insufficient sample evidence to support the claim the there is a correlation between the two variables.

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