I belong to a golf club in my neighborhood. I divide the year into three golf seasons: summer (June–September), winter (November–March), and shoulder (October, April, and May). I believe that I play my best golf during the summer

(because I have more time and the course isn’t crowded)

and shoulder (because the course isn’t crowded) seasons, and my worst golf is during the winter (because when all of the part-year residents show up, the course is crowded, play is slow, and I get frustrated). Data from the last year are shown in the following table.

Season Observations Summer 83 85 85 87 90 88 88 84 91 90 Shoulder 91 87 84 87 85 86 83 Winter 94 91 87 85 87 91 92 86

(a) Do the data indicate that my opinion is correct? Use

???? = 0.05.

(b) Analyze the residuals from this experiment and comment on model adequacy.