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 positive linear correlation between the two variables at a significance level of α=0.005α=0.005. You have the following bivariate data set.

x	y
38.4	32.8
51.2	54.7
48.1	54.6
35.7	11.7
64	103.3
56.5	88
68.6	113.9
10.9	-74.1
53.7	26
51.8	52.1
47.2	57.3
57.6	72.2
60.8	88.4

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−21−r2t=r⋅n-21-r2This 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 insufficient sample evidence to support the claim the there is a positive correlation between the two variables.
There is sufficient sample evidence to support the claim that there is a statistically significant positive correlation between the two variables.

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