You wish to determine if there is a linear correlation between the two variables at a significance level of $\alpha = 0.05$. You have the following bivariate data set.\[\begin{array}{c|c}x & y \\\hline27.9 & 20.5 \\16.5 & 71.1 \\16.5 & 71.2 \\32.1 & 49.4 \\41.4 & 9.1 \\35.7 & 52.2 \\52.9 & -19.9 \\28.2 & 64.7 \\11.4 & 103.7 \\20.9 & 78.3 \\24.3 & 53 \\24.6 & 104 \\34.8 & 55.9 \\\end{array}\]**What is the critical value for this hypothesis test?**\[ r_{c.v.} = \]**What is the correlation coefficient for this data set?**\[ r = \]**Your final conclusion is that...**- ☐ There is insufficient sample evidence to support the claim that 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.*Note: In your calculations, round both $r$ and $t$ to 3 decimal places in ALL calculations.*

let us first define the null and alternative hypothesis for the correlation test: ρ=population correlation cρoefficient H0:ρ=0H1:ρ not equal to 0test statistic:rc.v=rn-21-r2 where r= correlation coefficient soo let us first find the correlation coefficient r=cov(x,y)σxσy ==2.2010.52*35.74=-0.8859 n=14 hence rc.v=rn-21-r2=-0.885914-21--0.88592=-6.334p value =0.000027 ≈0 result: p value(0.00027)< level of significance (0.05 ) hence reject null hypothesis conclusion: There is sufficient evidence to claim that there is statistically significant correlation between two variables.

Math

Statistics

You wish to determine if there is a linear correlation between the two variables at a significance level of 0.05. You have the following bivariate data set. a = y 20.5 27.9 16.5 71.1 16.5 71.2 32.1 49.4 41.4 9.1 35.7 52.2 52.9 28.2 -19.9 64.7 11.4 103.7 20.9 78.3 24.3 53 24.6 104 34.8 55.9

You wish to determine if there is a linear correlation between the two variables at a significance level of 0.05. You have the following bivariate data set. a = y 20.5 27.9 16.5 71.1 16.5 71.2 32.1 49.4 41.4 9.1 35.7 52.2 52.9 28.2 -19.9 64.7 11.4 103.7 20.9 78.3 24.3 53 24.6 104 34.8 55.9

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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