Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of 0.05.

r=0.105, n=15


A: Critical values: r= +0.514, no significant linear correlations

B: Critical values: r= +0.514, significant linear correlation

C: Critical values: r= +0.532, no significant linear correlation

D: Critical values: r= 0.514, no significant linear correlation



WILL MARK BRAINLIEST !!!

Respuesta :

fichoh

Answer: A: Critical values: r= ±0.514, no significant linear correlations

Step-by-step explanation:

The correlation coefficient (r) = 0.105

Sample size (n)= 15

Significance level = 0.05

Using the Pearson Product-Moment Correlation Coefficient table:

degree of freedom (df) = n- 2

15 - 2 = 13

Looking up the table at 0.05 significance levels and a degree of freedom equals 13,

The critical value equals ±0.513977

If the correlation coefficient(0.105) obtained is greater or equal to the critical value (0.513977), then at the 0.05 significance level, a linear relationship exists between the observed variables.

However, the correlation coefficient (0.105) is less than the critical value (0.513977), therefore, no linear relationship exist.

ACCESS MORE
EDU ACCESS
Universidad de Mexico