In the United States, baseball has always been a favorite pastime and is rife with statistics and theories. Researchers have shown that major league players who have nicknames live longer than those without them. The following table shows a portion of data on the lifespan (Years) of a player and a Nickname variable (Yes if the player had a nickname, No otherwise).

Years	Nickname
71	No
76	No
53	Yes

Click here for the Excel Data File a.Create two subsets, one consisting of players with a nickname and the other one without a nickname. Calculate the average longevity for each subset.(Round your answers to 2 decimal places.)

b-1.Estimate a linear regression model of year on a dummy variablesdwith value 1 if the player had a nickname, 0 otherwise.Hint: You have to first convert the Nickname categorical variable (Yes/No) into a dummy variable (1/0).(Round coefficient estimates to 4 decimal places) b-2.Compute the predicted longevity of players with and without a nickname.(Round coefficient estimates to at least 4 decimal places and final answers to 2 decimal places.)

Years	Nickname
71	No
76	No
76	Yes
52	No
55	Yes
56	No
79	Yes
60	Yes
63	Yes
77	No
66	No
58	No
59	Yes
63	Yes
66	Yes
63	No
58	No
55	No
53	Yes
79	Yes
60	No
71	No
77	Yes
65	Yes
62	Yes
51	Yes
76	No
63	No
79	No
53	Yes