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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You wish to determine if there is a 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
60.6	34.3
52.7	29.3
62.4	33.3
48.5	16.9
41.4	17.2
57.4	26.4
68.4	38.8
48.7	26.8
36.3	8.5
53.6	21.7
51.9	28.6
61.5	33.9
68.5	40.1
65.1	28.7
53.6	24.8
61.4	29.3
64.8	32.6
37.1	14
41.6	19.7
58.7	37.3
52.1	23.3
48.1	26.5
54.1	26.3
60.1	42.8
69.6	44.3
70.3	39.2
46.9	21.9
43.8	23.7

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 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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