Answered: ou 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=0.05α=0.05. You have the following bivariate data set.

x	y
43	21.8
81.3	122.7
48.9	50.4
38.3	75
58	85.9
25	10.5
74.7	105.6
72	71.8
70.7	64.7
60.6	83.6
65.6	78.3
56.8	72.9
73	64.5
43.9	67
37.3	26.9
89.5	113.2
43.5	65.7
63.7	113.3
67.5	62.3
61.5	69.1
67.7	99.2
54.5	49.7
50.3	58.9
58.9	89.3
52	56.3

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.

Expert Solution