Question

In: Statistics and Probability

The r-value for the relationship between washing and perfectionism is 0.44 (p = .003). Is this...

  1. The r-value for the relationship between washing and perfectionism is 0.44 (p = .003). Is this correlation significant? If yes, interpret. Note: do not overthink this. You are simply comparing your obtained p value with alpha to determine if the correlation is significant.
  1. The r-value for the relationship between checking and perfectionism is 0.57 (p = .0003). Is this correlation significant? If yes, interpret.
  1. The r-value for the relationship between washing and checking is 0.29 (p = .021). Is this correlation significant? If yes, interpret.
  1. Compute the r2 value for the relationship between washing and perfectionism, then interpret.
  1. Compute the r2 value for the relationship between checking and perfectionism, then interpret.
  1. Compute the r2 value for the relationship between washing and checking, then interpret.

Solutions

Expert Solution

Ho: R= 0

H1:R≠0

1)

r= 0.44

P value= 0.003

Ans→ since p value is very less than 0.01 or 0.05 ,

This implies that correlation is significan between washing and perfectionisom

2)

r=0.57

P value= 0.0003

Ans→since p value is very less than 0.001 or 0.005

We Reject the null hypothesis R=0

*This implies that correlation is significant between checking and perfectionism at 99.5% level of significance

3)

r=0.28

P value= 0.021

Since p value is less than 0.05 we Reject the null hypothesis.

Yes, there is significant correlation coefficient between washing and checking at 5% level of significance.

Que:.Compute the r2 value for the relationship between washing and perfectionism, then interpret.

Ans→R²= 0.1936

Thus 19.36% variability is explained by the regression line of washing and perfectionism.

Que:Compute the r2 value for the relationship between checking and perfectionism, then interpret

Ans→R²=0.57²=0.3249

Thus 32.49% variability is explained by the regression line of checking and perfectionism.

Que:Compute the r2 value for the relationship between washing and checking, then interpret.

Ans→R²=0.0841

Thus 8.41 variability is explained by the regression line of washing and checking.

Thanks!


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