The table gives the results of multiple and simple regressions of LGFDHO, the logarithm of annual household expenditure on food eaten at home, on LGEXP, the logarithm of total annual household expenditure, and LGSIZE, the logarithm of the number of persons in the household, using a sample of 868 households in the 1995 Consumer Expenditure Survey. The correlation coefficient for LGEXP and LGSIZE was 0.45. Explain the variations in the regression coefficients.
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