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...


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.







































































































xy
43.476.4
23.774.4
2.976.1
-0.459.2
2472.2
35.664.9
20.160
35.567.5
59.771.5
24.375.7
32.680.1
9.662.8
39.876.7
-5.555.7
49.178.6
22.769.8
46.484.9
12.447.4
45.869.4
40.573.8
38.177.4
37.170.3
30.473.4

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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 at-score:t=r⋅√n−21−r2t=r⋅n-21-r2Thist-score is from at-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.





Jun 04, 2022
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