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TABLE 15-6 Given Below Are Results from the Regression Analysis on 40

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TABLE 15-6
Given below are results from the regression analysis on 40 observations where the dependent variable is the number of weeks a worker is unemployed due to a layoff (Y) and the independent variables are the age of the worker (X₁), the number of years of education received (X₂), the number of years at the previous job (X₃), a dummy variable for marital status (X₄: 1 = married, 0 = otherwise), a dummy variable for head of household (X₅: 1 = yes, 0 = no) and a dummy variable for management position (X₆: 1 = yes, 0 = no).
The coefficient of multiple determination (R) for the regression model using each of the 6 variables Xⱼ as the dependent variable and all other X variables as independent variables are, respectively, 0.2628, 0.1240, 0.2404, 0.3510, 0.3342 and 0.0993.
The partial results from best-subset regression are given below:
TABLE 15-6 Given below are results from the regression analysis on 40 observations where the dependent variable is the number of weeks a worker is unemployed due to a layoff (Y) and the independent variables are the age of the worker (X₁), the number of years of education received (X₂), the number of years at the previous job (X₃), a dummy variable for marital status (X₄: 1 = married, 0 = otherwise), a dummy variable for head of household (X₅: 1 = yes, 0 = no) and a dummy variable for management position (X₆: 1 = yes, 0 = no). The coefficient of multiple determination (R) for the regression model using each of the 6 variables Xⱼ as the dependent variable and all other X variables as independent variables are, respectively, 0.2628, 0.1240, 0.2404, 0.3510, 0.3342 and 0.0993. The partial results from best-subset regression are given below:    -Referring to Table 15-6, the variable X₁ should be dropped to remove collinearity.
-Referring to Table 15-6, the variable X₁ should be dropped to remove collinearity.

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Definitions:

Noncumulative Preferred Stock

A type of preferred stock that does not accumulate unpaid dividends; if a dividend is skipped, it is not required to be paid later.

Retained Earnings

The portion of net earnings not distributed as dividends to shareholders but reinvested in the business or kept as a reserve.

Par Value

The face value of a bond or stock as stated by the issuer, which may differ from its market value.

Cash Dividend

A payment made by a company out of its earnings to its shareholders, usually in the form of cash.

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