Write out the regression equation. (Round your answers to 3 decimal places. Nega
ID: 3258329 • Letter: W
Question
Write out the regression equation. (Round your answers to 3 decimal places. Negative amounts should be indicated by a minus sign.)
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.)
Can we conclude that the set of regression coefficients could be different from 0? Use the .05 significance level.
State the decision rule for .05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
Compute the value of the test statistic. (Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.)
a.
Write out the regression equation. (Round your answers to 3 decimal places. Negative amounts should be indicated by a minus sign.)
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. Coef SE Coef Predictor Constant 9.487 2.264 4.19 0.362 0.087 4.16 0.362 0.144 2.51 0.177 0.096 1.84 0.194 3.94 0.764 -0.305 0.164 1.86 Analysis of Variance DF SS MS F Source Regression 3710.00 742.00 14.39 Residual Error 56 2647.38 57.55 Total 61 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-relatedExplanation / Answer
Answer:
Write out the regression equation. (Round your answers to 3 decimal places. Negative amounts should be indicated by a minus sign.)
= 9.487 + 0.362 X1 + (-0.362)X2 + 0.177 X3 + 0.764 X4 + (-0.305)X5.
b.
How large is the sample? How many independent variables are there?
Sample n=62
Independent variables k=5
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 >2.38
c-2.
Compute the value of the F statistic. (Round your answer to 2 decimal places.)
Computed value of F is 14.39
c-3.
Can we conclude that the set of regression coefficients could be different from 0? Use the .05 significance level.
Reject H0. Not all of 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. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
Reject H0 if t < -2.003 or t > 2.003.
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
4.16
X2
-2.51
X3
-1.84
X4
3.94
X5
-1.86
e.
Which variable would you consider eliminating?
Consider eliminating variables X3 and X5.
Write out the regression equation. (Round your answers to 3 decimal places. Negative amounts should be indicated by a minus sign.)
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.