b) Data was collected on 344 corporate executives to find out the effect of MBA degree and work experience on their salary. The following model was estimated: Y = 2.3501 + 3.6306D¡ – 2.6354 D2i + 0.8527 X + 1.634 (D, * X)i t= (1.263) R? = 0.8968 Y: Annual Income in Lakhs of Rupees Di and D2 are MBA and gender dummies respectively X: Work experience in years DI = 1 if one has MBA degree (2.1805) (- 3.457) (7.605) (2.98) = 0 otherwise D2 = 1 for a female executive = 0 for a male executive i. Write the regression equations for female MBA executives and male MBA executives separately. ii. Find the mean income level for the reference category and interpret it. ii. Test the statistical significance of differential intercept coefficient between female MBA executives and Male MBA executives at 5% level of significance. v. Interpret the coefficient of Di*Xi.

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b) Data was collected on 344 corporate executives to find out the effect of MBA degree
and work experience on their salary. The following model was estimated:
Y = 2.3501 + 3.6306D11 – 2.6354 D2i + 0.8527 X¡ + 1.634 (D, * X)i
(2.1805) (- 3.457)
(1.263)
(7.605)
(2.98)
R? = 0.8968
Y: Annual Income in Lakhs of Rupees
Di and D2 are MBA and gender dummies respectively
X: Work experience in years
DI = 1 if one has MBA degree
= 0 otherwise
D2 = 1 for a female executive
= 0 for a male executive
i. Write the regression equations for female MBA executives and male MBA executives
separately.
ii. Find the mean income level for the reference category and interpret it.
iii. Test the statistical significance of differential intercept coefficient between female
MBA executives and Male MBA executives at 5% level of significance.
iv. Interpret the coefficient of D,*Xi.
Transcribed Image Text:b) Data was collected on 344 corporate executives to find out the effect of MBA degree and work experience on their salary. The following model was estimated: Y = 2.3501 + 3.6306D11 – 2.6354 D2i + 0.8527 X¡ + 1.634 (D, * X)i (2.1805) (- 3.457) (1.263) (7.605) (2.98) R? = 0.8968 Y: Annual Income in Lakhs of Rupees Di and D2 are MBA and gender dummies respectively X: Work experience in years DI = 1 if one has MBA degree = 0 otherwise D2 = 1 for a female executive = 0 for a male executive i. Write the regression equations for female MBA executives and male MBA executives separately. ii. Find the mean income level for the reference category and interpret it. iii. Test the statistical significance of differential intercept coefficient between female MBA executives and Male MBA executives at 5% level of significance. iv. Interpret the coefficient of D,*Xi.
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