Consider this model

estimated with a different sample than the original, using α=0.10.

What is the best Satisfaction estimate, for a student with GPA=2.0 ?

This model was considered to investigate if the level of Satisfaction is Gender dependent:

.

The best estimate for Female Satisfaction is

Focus on this model 

r² was computed and found to be 0.36.

If you categorize GPA into 3 different levels and run an ANOVA to test Ho: μ_LowGPA= μ_MedGPA= μ_HighGPA where μ stands for Satisfaction mean value, what are your expectations for the p-value ?

Still about this model 

This model was also considered to investigate if Surfers level of Satisfaction is different than non Surfers':

.

r² was computed and Ho: R²=0 was tested with a p-value=0.10.

The F test statistic value is 

This first model was considered to investigate if Satisfaction is Happiness dependent:

.

The coefficient of correlation between Satisfaction and Happiness was computed and found to be 0.411.

Regarding Ho: R²=0, the F test statistic is 

The expected frequency (if Ho is true) of Female Surfers is 

Modify the observed frequency table considering only

- 2 non surfers (1 non female and 1 female) and

- only 1 surfer, a female.

so a total of 3 students.

What would your conclusions be, with α=0.05 ?

The same Contingency Analysis was run considering only the students with a GPA >2 (so a smaller sample).