MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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You wish to determine if there is a linear correlation between the two variables at a significance level of α=0.10α=0.10. You have the following bivariate data set.

x y
99.3 2.7
72.6 24.4
62.2 42.2
76.5 2.8
73.9 17.5
90 11.7
52 47.2
84.2 10.6
72.7 15.1
86.1 14.7
61.1 53.5
46.5 56.2
90.7 -3.6
103.1 -10
49.2 46.8
38.5 54.6
61.8 46.5
74.2 27.9
63.7 48.7
74.8 28.2
63 29.6
59.8 40.5
80.5 13.5
80 21.3
71.4 22.8
59.6 51.6
45.1 61.9
84.4 18.2

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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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