You find a partial report of a study that investigated the relationship between self-esteem and depression. You see they conducted a one-tailed Pearson's r correlation with 52 people, and that the r = -0.25. Answer the following questions based on this result.

Calculate/report the following:

a.Coefficient of determination

b.degrees of freedom

c.critical r value (use the ebook appendix for the critical value and do not round).

Write up the results using complete sentences. Make sure to include the full statistical notation and a decision about the null hypothesis.

State what a researcher would conclude and what is actually true if a Type I error were committed in this scenario. (Note this requires two statements -

1) what the researcher concludes and

2) what is true for the population.)

Imagine a study finds a significant positive relationship between IQ and SAT scores. If a journalist made an error in causality when writing about this relationship, what would they be claiming/concluding based on this scenario (one sentence is sufficient)?

State what a researcher would conclude and what is actually true if a Type II error were committed in regards to a correlational study on IQ and SAT scores. (Note this requires two statements - 1) what the researcher concludes and 2) what is true for the population.)