Homework SourseThe following regression output was obtained from a study of
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
Coeff
SE Coeff
t
p-value
Constant
7.987
2.967
2.690
0.010
X1
0.122
0.031
3.920
0.000
X2
–1.120
0.053
–2.270
0.028
X3
–0.063
0.039
–1.610
0.114
X4
0.523
0.142
3.690
0.001
X5
–0.065
0.040
–1.620
0.112
Analysis of Variance
Source
DF
SS
MS
F
p-value
Regression
5
3710.00
742.00
12.89
0.000
Residual Error
46
2647.38
57.55
Total
51
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 answers should be indicated by a minus sign.)
= + X1 + X2 + X3 + X4 + X5.
b.
How large is the sample? How many independent variables are there?
Sample n
Independent variables k
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.)
Reject H0 if F >
c-2.
Compute the value of the F statistic. (Round your answer to 2 decimal places.)
Computed value of F is
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 Reject H0. (Click to select)AllNot allof the regression coefficients are zero.
For X1
For X2
For X3
For X4
For X5
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. (Round your answers to 3 decimal places.)
Reject H0 if t < or t > .
d-2.
Compute the value of the test statistic. (Round your answers to 2 decimal places. Negative answers should be indicated by a minus sign.)
t value
X1
X2
X3
X4
X5
d-3.
Which variable would you consider eliminating?
Consider eliminating variables (Click to select)X2 and X3X3 and X5X3 and X4X1 and X5X1 and X2.
| Predictor | Coeff | SE Coeff | t | p-value | ||||
| Constant | 7.987 | 2.967 | 2.690 | 0.010 | ||||
| X1 | 0.122 | 0.031 | 3.920 | 0.000 | ||||
| X2 | –1.120 | 0.053 | –2.270 | 0.028 | ||||
| X3 | –0.063 | 0.039 | –1.610 | 0.114 | ||||
| X4 | 0.523 | 0.142 | 3.690 | 0.001 | ||||
| X5 | –0.065 | 0.040 | –1.620 | 0.112 | ||||
Solution
Write out the regression equation. (Round your answers to 3 decimal places. Negative answers should be indicated by a minus sign.)
Y = 7.987 +0.122 X1 -1.120 X2 -0.0632 X3 +0.523 X4 - 0.065 X5
How large is the sample? How many independent variables are there?
n = 47
k = 5
State the decision rule for .05 significance level: H0: 1 = 2 = 3 =4=5 =0; H1: Not all \'s are 0
Reject H0 if F >
2.9037
Compute the value of the F statistic. (Round your answer to 2 decimal places.)
F = 12.89
Can we conclude that the set of regression coefficients could be different from 0? Use the .05 significance level.
since F > critical value we can conclude that the set of regression coefficients could be different from 0
for the other literals
I CAN GLADLY HELP YOU BUT YOU SHOULD POST IT IN A NEW QUESTION
| How large is the sample? How many independent variables are there? | ||||||
| n = 47 k = 5 State the decision rule for .05 significance level: H0: 1 = 2 = 3 =4=5 =0; H1: Not all \'s are 0
|
