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=0.01α=0.01. You have the following bivariate data set.

x	y
43.4	76.4
23.7	74.4
2.9	76.1
-0.4	59.2
24	72.2
35.6	64.9
20.1	60
35.5	67.5
59.7	71.5
24.3	75.7
32.6	80.1
9.6	62.8
39.8	76.7
-5.5	55.7
49.1	78.6
22.7	69.8
46.4	84.9
12.4	47.4
45.8	69.4
40.5	73.8
38.1	77.4
37.1	70.3
30.4	73.4

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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 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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