Question
A software firm collected data for a sample of 30 computer programmers. Regression analysis can be used to determine if the annual salary ($1000s) was
A software firm collected data for a sample of 30 computer programmers. Regression analysis can be used to determine if the annual salary ($1000s) was related to the years of experience, the score on the firm’s programmer aptitude test, and gender.
Question: To determine the joint significance of the two factors, test score, and gender, in model 1, one should use
Model 1:
Coefficients | Standard Error | |||
Intercept | 9.3536 | 6.2008 | ||
experience | 1.4888 | 0.1829 | ||
Test score | 0.1851 | 0.0757 | ||
female | -2.3613 | 1.0607 |
SST=599.7855, SSE= 75.9380
Model 2:
Coefficients | Standard Error | |
Intercept | -3.3550 | 13.2026 |
test score | 0.4214 | 0.1538 |
female | -0.5609 | 2.2824 |
SST=599.7855, SSE= 390.5162
Model 3:
Coefficients | Standard Error | |
Intercept | 24.2883 | 1.2394 |
experience | 1.6603 | 0.1921 |
female | -3.3741 | 1.1106 |
SST=599.7855, SSE= 104.3472
Model 4:
Coefficients | Standard Error | |
Intercept | 3.1739 | 6.1561 |
experience | 1.4039 | 0.1986 |
test score | 0.2509 | 0.0774 |
SST=599.7855, SSE= 99.4570
Model 5:
Coefficients | Standard Error | ||
Intercept | 22.8111 | 1.3761 | |
experience | 1.6200 | 0.2313 |
SST=599.7855, SSE=160.9988
Model 6:
Coefficients | Standard Error | |
Intercept | -4.7097 | 11.6794 |
test score | 0.4344 | 0.1406 |
SST=599.7855, SSE=391.9035
Model 7:
Coefficients | Standard Error | ||
Intercept | 32.59 | 1.7687 | |
female | -2.71 | 2.5013 |
SST=599.7855, SSE=563.065
options:
t-test or F test | |
partial F test | |
t-test | |
overall F test |
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