a researcher working with a sample of 35 finds a pearson correlation of 0.45 between two variables. what is the t-score corresponding to these results?

Respuesta :

Using pearson's correlation Coefficient,

The value of t-score corresponding to the provide sample is 3.23...

Pearson's correlation coefficient :

Pearson's correlation method is the most commonly used method for numeric variables. Assign a value between −1 and 1. 0 is no correlation, 1 is completely positive correlation, -1 is completely negative correlation.

The correlation coefficient is denoted by "r".

Testing of significant correlation coefficient:

The formula for the test statistic is

t = ( r√(n-2) )/√1-r^2

where,

t-----> value of the test statistic

n----> sample size

r------> correlation coefficient

we have given that,

correlation coefficient of sample (r) = o.45

sample size (n)= 35

we have to calculate the value of the test statistic. putting all the values in above formula,

t = ( 0.45√(35-2) )/√(1 - (0.45)^2)

=> t = ( 0.45 √33)/√(1-0.202) = 2.58/0.79

=> t = 3.23

Hence, the t-score corresponding to provide sample is 3.23..

To learn more about Pearson's correlation, refer:

https://brainly.com/question/4117612

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