Run the multiple regression using Year and soybean yield to predict corn yield.

Question

Run the multiple regression using Year and soybean yield to predict corn yield. Give the test statistic of the F test with its degrees of freedom.

The F-statistic is (1 decimal place): _______

df1 =  (numerator). _______

df2 =  (denominator) _______

Can soybean yield predict corn yield? This exercise uses the corn and soybean yield data given in Tables 11.10 and 11.11 Run the simple linear regression using soybean yield to predict corn yield TABLE 11.10 US. corn yield Yield 118.5 108.6 Yield Yield 1968 1969 1970 1971 1972 1973 1974 109.5 1957 1958 52.8 1959 196054.7 1961 79.5 1979 1980 1981 1982 113.2 1983 1984 106.7 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995113.5 1996 1997 126.7 1998 1999 133.8 48.3 72.4 108.9 100.7 138.6 97.0 1963 196462.9 1965 1966 73.1 1967 67.9 118.0 1976 1977 1978 119.8 84.6 116.3 134.4 90.8 80.1 101.0 136.9 TABLE 11.11 US. soybean yield Yield Yield Yield 32.1 26.5 Yield 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1957 1958 1959 1960 1961 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 24.2 34.2 37.6 32.6 27.8 24.2 1963 1964 1965 1966 1967 37.6 24.5 33.9 36.6 24.5 32.3

Explanation / Answer

Let y deotes the corn yield and x denotes the soybean yield.

Then the regression equation is, y = - 43.8 + 4.67*x. (Ans).

F-statistic = MSReg / MSE = 25373 / 72 = 350.92. (Ans).

df1 = df of regression = 2-1 = 1. (Ans).

df2 = df of error = 44 - 2 = 42. (Ans).

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