Very urgent

A random sample of people who tried 3 types of diet is collected to determin if mean weight loss differs across diet types.

Assume the result of inference before taking age as a covariate shows no significant evidence proving differences of mean weight loss across 3 diet types.

However, it shows there is significant evidence that there are differences of mean weight loss, when performing ANCOVA taking age as a covariate.

Calculate Least-squares means of weight loss among 3 diet types. What is the Least-squares means of weight loss for type1 diet?

Weight Loss: (5.6877, 2.1108, 4.1809, 11.5972, 10.4229, 10.8226, 9.2467, 12.5628, 2.4176, 10.3701, 16.1713, 13.6709, 16.4339, 13.7849, 17.1983)

Diet Type: ('type1', 'type1', 'type1', 'type1', 'type1', 'type2', 'type2', 'type2', 'type2', 'type2', 'type3', 'type3', 'type3', 'type3', 'type3')

Age: (24, 22, 23, 24, 24, 37, 43, 38, 42, 40, 54, 54, 51, 54, 48)