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lutik1710 [3]
3 years ago
6

Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to sta

te whether or not the given r represents a significant linear correlation. Use a significance level of 0.05. r = 0.543, n = 25
Mathematics
1 answer:
Dafna11 [192]3 years ago
8 0

Answer:  <em>r</em> represents a significant linear correlation.

Step-by-step explanation:

GIven : Linear correlation coefficient: r = 0.543

Sample size: n= 25

Significance levle: \alpha=0.05

Degree of freedom : n-2 = 25-2=23

Now, we check <em>r</em> critical value table for value with df = 23 and \alpha=0.05.

Critical value = ±0.396  [From <em>r</em> critical value table]

Since r = 0.543 > 0.396, that means there is significant linear correlation.

Hence,  <em>r</em> represents a significant linear correlation.

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