Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

The following regression output was obtained from a study of architectural firms. The dependent variable is the total amount of fees in millions of dollars.

The following regression output was obtained from a study of architectural firms. The dependent variable is the total amount of fees in millions of dollars.

Predictor Coef SE Coef T
Constant 9.737 3.005 3.24
X1 0.302 0.074 4.08
X2 -0.302 0.123 -2.46
X3 0.117 -0.065 -1.8
X4 0.704 0.376 1.87
X5 -0.245 -0.118 2.08

Analysis of Variance
Source DF SS MS F
Regression 5 3710.00 742.00 14.64
Residual Error 54 2647.38 57.55
Total 59 6357.38

X1is the number of architects employed by the company.
X2is the number of engineers employed by the company.
X3is the number of years involved with health care projects.
X4is the number of states in which the firm operates.
X5is the percent of the firm's work that is health carerelated.

a.

Write out the regression equation.(Round your answers to 3 decimal places. Negative amounts should be indicated by a minus sign.)

=+X1+X2+X3+X4+X5.

b. How large is the sample? How many independent variables are there?

Samplen
Independent variablesk

c-1.

State the decision rule for .05 significance level:H0: 1= 2= 3=4=5=0;H1: Not all 's are 0.(Round your answer to 2 decimal places.)

RejectH0ifF>

c-2. Compute the value of theFstatistic.(Round your answer to 2 decimal places.)

Computed value ofFis

c-3.

Can we conclude that the set of regression coefficients could be different from 0? Use the .05 significance level.

(Click to select)RejectDo not RejectH0.(Click to select)AllNot allof the regression coefficients are zero.

ForX1 ForX2 ForX3 ForX4 ForX5
H0: 1= 0 H0: 2= 0 H0: 3= 0 H0: 4= 0 H0: 5= 0
H1: 1 0 H1: 2 0 H1: 3 0 H1: 4 0 H1: 5 0

d-1.

State the decision rule for .05 significance level.(Negative amountsshould be indicated by a minus sign.Round your answers to 3 decimal places.)

RejectH0ift.

d-2.

Compute the value of the test statistic.(Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.)

t value
X1
X2
X3
X4
X5

e. Which variable would you consider eliminating?

Consider eliminating variables(Click to select)X3 and X4X1 and X4X2 and X3X3 and X5.

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

High School Math 2012 Common-core Algebra 2 Grade 10/11

Authors: Savvas Learning Co

Student Edition

9780133186024, 0133186024

More Books

Students also viewed these Mathematics questions

Question

5. Preblem 4.12 (Matio Calcuisbens)

Answered: 1 week ago