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=0.10α=0.10. You have the following bivariate data set.

x	y
55.2	38.6
60.3	49.6
28.8	4.1
57.4	42.1
67.2	62.6
29.3	0.3
46.4	40.4
26.6	-3.4
50.4	36.9
45	32
43.6	32.2
20.5	-25
21.3	-18.9
14.6	-22.1
56.8	39.8
58.3	50.4
60.1	47.8
39.6	7.8
52.9	29.7
56.7	67.3
17.9	-18.4
56.2	47.9
80.1	94
49.6	46.4
52.8	38.4
47.2	33.7
59.9	63.7
35.4	27.1

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