The dependent variable in this correlation is the level of family engagement. The item that measured this is “How engaged was your family in this activity (working together)?” with answer choices on a scale of 1-10 with “0=not at all” and “10=a great amount”. The independent variable in this correlation is the level of family enjoyment. The item that measured this is “How much did your family enjoy this activity?” with answer choices on a scale of 1-10 with “0=not at all” and “10=a great amount”. This correlation was looking to see how enjoyment can predict engagement. The variables used in this correlation were not recoded. The correlation looked at the exact responses of individuals, with the variable’s normal coding.
The correlation coefficient for this correlation was r = 0.46. This shows a positive, moderate strength relationship between family enjoyment of the activities and family engagement of the activities. The correlation is greater than zero, and therefore can be generalized to a population. The correlation is significant, and therefore we reject the null hypothesis.