Answered: What is the p-value for this…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

You wish to determine if there is a linear correlation between the two variables at a significance level of α=0.005. You have the following bivariate data set.

x	y
12.3	29.6
23.6	62.2
19.5	107.5
24	73.1
17.8	-7.6
28.7	38.6
27.5	115.5
31.5	80.1
26.5	30.8
28.2	73.4
2.2	-15.7
23.8	18.8
24.1	81
5.3	37.1
22.6	78.1
21	41.4
23.5	65.9
33.6	52.8
4.6	77.5
31.2	55.9

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−2/1−r2 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 correlation between the two variables.
There is sufficient sample evidence to support the claim that there is a statistically significant correlation between the two variables.

Expert Solution