Question

An expert witness statistician was analyzing data from a workers compensation discrimination lawsuit filed by female workers at a bank. The data provided to the expert contain the following information: SALARY in dollars), EDUCAT (number of years of schooling), EXPER (# of months of work experience prior to joining the bank), MONTHS (# of months since joining the bank), MALES (an indicator for a worker's gender: 0 for a female, 1 for a male). As part of the investigation, the statistician ran the following multiple regression model SALARY = Bo + B (EDUCAT) + B (EXPER) +B3(MONTHS) + B4(MALES)+6 where the deviations & were assumed to be independent and normally distributed with mean 0 and standard deviation o. This model was fit to the data using the method of least squares. The following results were obtained from statistical software. df MS F_ p-value SS 23665351 Regression Residual Total 92 46323290 The statistician also ran the following linear regression model with fewer explanatory variables SALARY = Bo + B(MONTHS) + BA(MALES) + where the deviations & were assumed to be independent and normally distributed, with mean 0 and standard deviation o. This model was fit to the data using the method of least-squares. The following results were obtained from statistical software. df p SS 19441468 26881822 MS 9720734 298687 F 32.54 Regression Residual Total -value 0.000 Let us compare the linear regression model using only MONTHS and MALES as explanatory variables to the full model in which in addition we also use EDUCAT, and EXPER as explanatory variables. The value of the F statistic to determine if EDUCAT or EXPER help explain SALARY in a model that already contains MONTHS and MALES is A) 32.54. B) 22.98. C) 8.20. D) Cannot be determined from the information given above. is question use the information from the previous question #14. The degrees of m for the F statistic you computed in question #14 are: Imerator df - 4, denominator df = 2. merator df = 2, denominator df = 88. merator df = 2, denominator df = 90. nerator df-4, denominator df - 88.

Answer 1

Solution:

SS p-value MS 23665351 -=5916338 5916338 257476.6 =22.98 23665351 0.00000 Let us compare the linear regression model using only MONTHS and MALES as explanatory variables to the full model in which in addition we also use EDUCAT, and EXPER as explanatory variables. The value of the F statistic to determine if EDUCAT or EXPER help explain SALARY in a model that already contains MONTHS and MALES is df A) 32.54. B) 22.98. C) 8.20. Regression k=4 D) Cannot be determined from the information given above Residual 88 Total 92 is question use the information from the previous question #14. The degrees of m for the F statistic you computed in question #14 are: imerator df - 4, denominator df 2. merator df = 2, denominator df = 88. merator df = 2, denominator df = 90. numerator df = 4, denominator df = 88. 22657939 - = 257476.6 88 46323290-23665351= 22657939 46323290