Question

Predictor Coef SE Coef T     Constant 10.487 2.967 5.19 X1 0.402 0.03121 4.20 X2 -0.402...

Predictor

Coef

SE Coef

T    

Constant

10.487

2.967

5.19

X1

0.402

0.03121

4.20

X2

-0.402

0.05353

-2.55

X3

0.217

0.03901

-1.89

X4

0.804

0.1420

3.97

X5

-0.345

0.03999

-1.9

  Analysis of Variance

  Source

DF

SS

MS

F

  Regression

5

3710.00

742.00

15.39

  Residual Error

47

2647.38

57.55

  Total

52

6357.38
X1 is the number of architects employed by the company.
X2 is the number of engineers employed by the company.
X3 is the number of years involved with health care projects.
X4 is the number of states in which the firm operates.
X5 is the percent of the firm's work that is health care−related
(a)

Write out the regression equation. (Round your answers to 3 decimal places. Negative amounts should be indicated by a minus sign.)
(b) How large is the sample? How many independent variables are there?
(c-1)

State the decision rule for .05 significance level: H0: β1 = β2 = β3 = β4 = β5 = 0; H1: Not all βi's are 0. (Round your answer to 2 decimal places.)
(c-2) Compute the value of the F statistic. (Round your answer to 2 decimal places.)
(d-1)

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

Answer #1

a)The regression equation is

b) The sample size is 53. Since the total degrees of freedom is n-1=52, n=53  

c) The decision rule for .05 significance level, is to reject the null hypotheis ,since F value is greater than the tabled value that is 15.89 > 2.41= F5,47

F statistic is MSR/MSE= 742/57.55 =12.89

d) Hypothesis is checking that of the individual regression coefficent is zero

The degrees of freedom is n-2 =51, then t value is 1.6752

For the variables X2,X4 and X5 the test statistic value is <1.6752, hence these variables are not significant

Thevalue of the test statistic is given in the table

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