New business incorporation s (Y) a. What is the average value of new business in

Question

New business incorporations

(Y)

a. What is the average value of new business incorporations? And the variance?

b) What is the average value of business failures? And the variance?

c) What is the covariance between Y and X? And the correlation coefficient? Explain.

d) Are the two variables independent? Explain.

Year or month

New business incorporations

(Y)

Number of failures (X) 1955 139915.00 10969.00 1956 141163.00 12686.00 1957 137112.00 13739.00 1958 150781.00 14964.00 1959 193067.00 14053.00 1960 182713.00 15445.00 1961 181535.00 17075.00 1962 182057.00 15782.00 1963 186404.00 14374.00 1964 197724.00 13501.00 1965 203897.00 13514.00 1966 200010.00 13061.00 1967 206569.00 12364.00 1968 233635.00 9636.00 1969 274267.00 9154.00 1970 264209.00 10748.00 1971 287577.00 10326.00 1972 316601.00 9566.00 1973 329358.00 9345.00 1974 319149.00 9915.00 1975 326345.00 11432.00 1976 375766.00 9628.00 1977 436170.00 7919.00 1978 478019.00 6619.00 1979 524565.00 7564.00 1980 533520.00 11742.00 1981 581242.00 16794.00 1982 566942.00 24908.00 1983 600420.00 31334.00 1984 634991.00 52078.00 1985 664235.00 57253.00 1986 702738.00 61616.00 1987 685572.00 61111.00 1988 685095.00 57097.00 1989 676565.00 50361.00 1990 647366.00 60747.00 1991 628604.00 88140.00 1992 666800.00 97069.00 1993 706537.00 86133.00 1994 741778.00 71558.00 1995 766988.00 71128.00 1996 786482.00 71931.00 1997 798779.00 83384.00

Explanation / Answer

above value are computed using excel

d)

the two values are dependent

1958 150781 14964 1959 193067 14053 1960 182713 15445 1961 181535 17075 1962 182057 15782 1963 186404 14374 1964 197724 13501 1965 203897 13514 1966 200010 13061 1967 206569 12364 1968 233635 9636 1969 274267 9154 1970 264209 10748 1971 287577 10326 1972 316601 9566 1973 329358 9345 1974 319149 9915 1975 326345 11432 1976 375766 9628 1977 436170 7919 1978 478019 6619 1979 524565 7564 1980 533520 11742 1981 581242 16794 1982 566942 24908 1983 600420 31334 1984 634991 52078 1985 664235 57253 1986 702738 61616 1987 685572 61111 1988 685095 57097 1989 676565 50361 1990 647366 60747 1991 628604 88140 1992 666800 97069 1993 706537 86133 1994 741778 71558 1995 766988 71128 1996 786482 71931 1997 798779 83384 1955 139915 10969 1956 141163 12686 1957 137112 13739 mean 431238.651162791 31343.3255813953 variance 49924284285.0644 775154693.010276 covariance 5078669718.25311 correlation 0.8163940974

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