Random Residuals In a least-squares regression model, the residuals are assumed to be

Chapter 15, Problem 15

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Random Residuals In a least-squares regression model, the residuals are assumed to be random. The following data represent the life expectancy of a male born in the given year (for example, a male born in 1996 is expected to live 73.1 years). The least-squares regression equation treating year as the independent variable is yn = 0.1846x - 295.1910. The residuals from left to right are -0.171 0.145 0.160 0.076 0.091 0.006 -0.078 -0.063 0.153 -0.032 -0.017 0.099 (a) Denote residuals above zero with an A and those below zero with a B to form a sequence (b) Test the assumption that the residuals are random at thea = 0.05 level of significance

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