In the years 1904, 1914, 1924,., 2014, the percentage of times the starting pitcher pitched a com...
In the years 1904, 1914, 1924,., 2014, the percentage of times the starting pitcher pitched a complete game were': 87.6, 55.0, 48.7, 43.4, 45.2, 34.0, 24.5, 28.0, 15.0, 8.0, 3.1, 2.4 a. The linear probability model has least squares fit P(Y-1)=0.6930-0.06622, where number of decades since 1904. Interpret -0.0662. b. Substituting x = 12 in the linear prediction equation, predict the proportion of complete games for 2024. The ML fit of the logistic regression model yields P(Y = 1) = 0.034 at x 12. Which prediction is more plausible? Why?
In the years 1904, 1914, 1924,., 2014, the percentage of times the starting pitcher pitched a complete game were': 87.6, 55.0, 48.7, 43.4, 45.2, 34.0, 24.5, 28.0, 15.0, 8.0, 3.1, 2.4 a. The linear probability model has least squares fit P(Y-1)=0.6930-0.06622, where number of decades since 1904. Interpret -0.0662. b. Substituting x = 12 in the linear prediction equation, predict the proportion of complete games for 2024. The ML fit of the logistic regression model yields P(Y = 1) = 0.034 at x 12. Which prediction is more plausible? Why?