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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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