Answer: Yes, the correlation coefficient is statistically significant
The correlation coefficient describes how one variable actions when it comes to every other. A high-quality correlation shows that the 2 circulate within the identical path, with a +1.zero correlation once they move in tandem. A poor correlation coefficient tells you that they as a substitute flow in opposite directions. A correlation of 0 shows no correlation in any respect.
where ρ corresponds to the population correlation.
The sample size is n = 17,
so then the number of degrees of freedom is df = n-2 = 17-2 = 15
The corresponding critical correlation value re for a significance level of a 0.05, for a two-tailed test is た= 0.482
Observe that in this case,
the null hypothesis H0 : ρ-0 is rejected
if |r> re 0.482.
Based on the sample correlation provided, we have that lrl = 0.595 >=0.482,
which is concluded that the null hypothesis is rejected.
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