QUESTION #2

The set of data below shows a random sample of 14 systems analysts who were surveyed in 1978.

Years of

SampledYears inPost-secondaryAnnual Pay

PersonExperienceEducationGenderin $1,000s

A5.54.0F29.9

B9.04.0M35.5

C4.05.0F33.9

D8.04.0M34.0

E9.55.0M32.5

F3.04.0F30.5

G7.03.0F31.0

H1.54.5F27.7

I8.55.0M40.0

J7.56.0F35.0

K9.52.0M31.0

L6.02.0F28.6

M2.54.0M30.0

N1.54.5M27.5

A MULTIPLE REGRESSION WAS RUN.Note that Male/Female - the gender variable was given dummy symbols as Female = 1 and Male = 0, or vice-versa.

MULTIPLE REGRESSION ANALYSIS

The set of data above shows a random sample of 14 systems analysts who were surveyed in 1978.

Years of

SampledYears inPost-secondaryAnnual Pay

PersonExperienceEducationGenderin $1,000s

A5.54.0F=129.9

B9.04.0M=035.5

C4.05.0F=133.9

D8.04.0M=034.0

E9.55.0M=032.5

F3.04.0F=130.5

G7.03.0F=131.0

H1.54.5F=127.7

I8.55.0M=040.0

J7.56.0F=135.0

K9.52.0M=031.0

L6.02.0F=128.6

M2.54.0M=030.0

N1.54.5M=027.5

RESULTS - COMPUTER OUTPUT

SYSTEMS ANALYSTS ANNUAL PAY

REGRESSION FUNCTION & ANOVA FOR PAY

PAY = 20.8779 + 0.801571 EXPRC + 1.595737 EDUC - 0.382572 GENDER

R-Squared= 0.675011

Adjusted R-Squared = 0.577514

Standard error of estimate = 2.251716

Number of cases used = 14

Analysis of Variance

SourceSSdfMSF ValueSig Prob

p-value

Regression105.30990335.103306.923420.008376

Residual50.70225105.07022

Total 156.0121013

SYSTEMS ANALYSTS ANNUAL PAY

REGRESSION COEFFICIENTS FOR PAY

Two-Sidedp-value

VariableCoefficientStd Errort ValueSig Prob

Constant20.877903.06815 6.804720.000047

EXPRC0.80157 0.22847 3.508450.005646

EDUC1.59574 0.56064 2.846260.017361

GENDER-0.38257 1.28741 -0.29716 0.772423 *

* indiciates that the variable is marked for leaving

Standard error of estimate = 2.251716

Durbin-Watson statistic= 2.487978

Use the above computer output to answer the question below

What is the estimated multiple regression?

ANSWER

At a level of significance of = 0.05, which variables are statistically significant and which ones are not statistically significant?

ANSWER

Explain the meaning behind R-Squared in this problem

ANSWER

Does the output point to gender discrimination in pay?Why or why not?

ANSWER