Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

The pearson correlation is calculated for a sample of n = 25 individuals. what value of df should be used to determine whether or not the correlation is significant?

Sagot :

The correlation is a significant non-zero value.

The number of samples is n.

n = 25

The correlation of the coefficient is r.

r = -0.40

When correlation is significant,

[tex]H _{0} : p = 0[/tex]

When correlation is non-zero,

[tex]H _{ \alpha } : p ≠0[/tex]

The test statistic is,

[tex]TS = \frac{r \times \sqrt{n - 2} }{ \sqrt{1 - r {}^{2} } } [/tex]

[tex] = \frac{0.4 \times \sqrt{25 - 2} }{ \sqrt{1 - ( - 0.4) ^{2} } } [/tex]

[tex] = \frac{ - 1.918 }{ \sqrt{0.84} } [/tex]

= -2.093

The test statistic is -2.093.

The correlation is,

[tex]H _{ \alpha } : - 2.93 ≠0[/tex]

The correlation is not equal to zero and is significant.

Therefore, the correlation is a significant non-zero value.

To know more about correlation, refer to the below link:

https://brainly.com/question/13956667

#SPJ4