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For games in baseball"s National League during nine decades Table 4 6 shows the percentage of times that the starting pitcher pitched a complete game

For games in baseball"s National League during nine decades, Table 4.6 shows the percentage of times that the starting pitcher pitched a complete game.

TABLE 4.6 Data for Problem 4.2

 

Percent

 

Percent

 

Percent

Decade

Complete

Decade

Complete

Decade

Complete

1900-1909

72.7

1930-1939

44.3

1960-1969

27.2

1910-1919

63.4

1940-1949

41.6

1970-1979

22.5

1920-1929

50.0

1950-1959

32.8

1980-1989

13.3

a. Treating the number of games as the same in each decade, the ML fit of the linear probability model is  width= = 0.7578 — 0.0694x, where

x = decade (x = 1, 2, ... , 9). Interpret 0.7578 and — 0.0694.

b. Substituting x = 10, 11, 12, predict the percentages of complete games for the next three decades. Are these predictions plausible? Why?

c. The ML fit with logistic regression is  width= = exp(1.148 — 0.315x)/[1 + exp(1.148 — 0.315x)]. Obtain width=for x = 10, 11, 12. Are these 
more plausible?

Aug 02 2020 View more View Less

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