(4) Find the p-value for testing Ho: ßj = o versus Ha: ßj * 0 on the output. Using the p-value, determine whether we can reject Ho by setting a equal to 10, .05, .01, and .001. What do you conclude about the significance of the independent variables in the model? (Round your answers to p-value at ß2 = 0 and B3 = 0 to 4 decimal places. Round other answers to 3 decimal places.) HO: B1 = 0 is HO: B2 = 0 is ; Reject H0 at a = ; Reject HO at a = HO: B3 = 0 is ; Reject HO at a = (5) Calculate the 95 percent confidence interval for ß1. (Round your answers to 3 decimal places. Negative values should be indicated by a minus sign.) 95% C.I. B0 B1 B2 B3

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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I need help with questions 4 and 5.

(4) Find the p-value for testing Họ: ß¡ = 0 versus Ha: Bj # o on the output. Using the p-value, determine whether we can reject Ho by
setting a equal to .10, .05, .01, and .001. What do you conclude about the significance of the independent variables in the model?
(Round your answers to p-value at ß2 = 0 and B3 = 0 to 4 decimal places. Round other answers to 3 decimal places.)
HO: B1 = 0 is
Reject H0 at a =
HO: B2 = 0 is
; Reject HO at a =
HO: B3 = 0 is
; Reject HO at a =
(5) Calculate the 95 percent confidence interval for B1. (Round your answers to 3 decimal places. Negative values should be
indicated by a minus sign.)
95% C.I.
BO
B1
B2
B3
Transcribed Image Text:(4) Find the p-value for testing Họ: ß¡ = 0 versus Ha: Bj # o on the output. Using the p-value, determine whether we can reject Ho by setting a equal to .10, .05, .01, and .001. What do you conclude about the significance of the independent variables in the model? (Round your answers to p-value at ß2 = 0 and B3 = 0 to 4 decimal places. Round other answers to 3 decimal places.) HO: B1 = 0 is Reject H0 at a = HO: B2 = 0 is ; Reject HO at a = HO: B3 = 0 is ; Reject HO at a = (5) Calculate the 95 percent confidence interval for B1. (Round your answers to 3 decimal places. Negative values should be indicated by a minus sign.) 95% C.I. BO B1 B2 B3
Conttielen Standad
Use the Excel output in the below table to do () through (6) for each of Ap. P1. Pa, and P3-
df - n- Ik+ 1) - 16 - (3+ 1) - 12
Excel output for the hospital labor needs case (sample size: n= 16)
Standard Error
504.1819
Lower 15
Upper 35
1045.3201
Confficient
p-ralue
Intereept
1946. B020
3.1413 0.0023
B4.2040
XRay (Hi)
Dedbaya (x2)
Langthstay (x3)
D.D36
D.0130
2.1579
a.0120
0.0102
0.DETO
1.0394
-413.T57
D.0476
15.3157 2.91E-D
0.1922
1.1
a.0012 -628.saso
628.5a50 -198.93DS
(1) Find b4, ab and the t statistic for testing a: - D on the output and report their values. (Round your t value answers to 3
decimal places and other answers to 4 decimal places. Negative values should be indicated by a minus sign.)
bj
sbj
504.1819
HO: B0 =0
1,946 а220
3.861
HO: B1= 0
0.0386
0.0130
2.958
HO B20
1.0334
0.0676
15.386
HO: B3- 0
(413.7580)
98.5983
(4.196
(2) Using the t statistic and appropriate critical values, test ,: 8 - a versus N,: 84 o by setting a equal to .05. Which independent
variables are significantly related to yin the model with a =.05? (Round your answer to 3 decimal places.)
L025 2.145
HO: p0 = 0
Reject
Reject
HO
Hà: B1- 0
HO
HO: B2 = 0
Reject
HO: B3 = 0
Reject
HO
(3) Using the tstatistic and appropriate critical values, test ag: 8, - 0 versus a: 8,- o by setting a equal to .01 Which Independent
variables are significantly related to yin the model with a = .01? (Round your answer to 3 decimal places.)
1005
2.577
Reject
Do not reject
Raject
Reject
HO: B0 = 0
HO
HO
HO: 82 = 0
HO
(4) Find the p-value for testing p: B - D versus : Aj- a on the output. Using the pvalue, determine whether we can reject Ho by
setting a equal to 10, .05..01, and 001. What do you conclude about the significance of the independent variables in the model?
(Round your answers to p-value at B2=0 and B3-0 to 4 decimal places. Round other answers to 3 decimal places.)
;Raject HO at a =
Reject HO at a =
HO: B3 = 0 ia
Raject HO at a=
(5) Calculate the 95 percent confidence interval for 84, (Round your answers to 3 decimal places. Negative values should be
indicated by a minus sign.
95% C.I.
B1
B2
B3
(6) Calculate the 99 percent confidence interval for 84, (Round your answers to 3 decimal places. Negative values should be
Indicated by a minus sign.)
99% C.I.
406. 526
(0.001
3,487.078
0.078
B1
0.833
(714.976)
82
1.246|
B3
(112.540)
Transcribed Image Text:Conttielen Standad Use the Excel output in the below table to do () through (6) for each of Ap. P1. Pa, and P3- df - n- Ik+ 1) - 16 - (3+ 1) - 12 Excel output for the hospital labor needs case (sample size: n= 16) Standard Error 504.1819 Lower 15 Upper 35 1045.3201 Confficient p-ralue Intereept 1946. B020 3.1413 0.0023 B4.2040 XRay (Hi) Dedbaya (x2) Langthstay (x3) D.D36 D.0130 2.1579 a.0120 0.0102 0.DETO 1.0394 -413.T57 D.0476 15.3157 2.91E-D 0.1922 1.1 a.0012 -628.saso 628.5a50 -198.93DS (1) Find b4, ab and the t statistic for testing a: - D on the output and report their values. (Round your t value answers to 3 decimal places and other answers to 4 decimal places. Negative values should be indicated by a minus sign.) bj sbj 504.1819 HO: B0 =0 1,946 а220 3.861 HO: B1= 0 0.0386 0.0130 2.958 HO B20 1.0334 0.0676 15.386 HO: B3- 0 (413.7580) 98.5983 (4.196 (2) Using the t statistic and appropriate critical values, test ,: 8 - a versus N,: 84 o by setting a equal to .05. Which independent variables are significantly related to yin the model with a =.05? (Round your answer to 3 decimal places.) L025 2.145 HO: p0 = 0 Reject Reject HO Hà: B1- 0 HO HO: B2 = 0 Reject HO: B3 = 0 Reject HO (3) Using the tstatistic and appropriate critical values, test ag: 8, - 0 versus a: 8,- o by setting a equal to .01 Which Independent variables are significantly related to yin the model with a = .01? (Round your answer to 3 decimal places.) 1005 2.577 Reject Do not reject Raject Reject HO: B0 = 0 HO HO HO: 82 = 0 HO (4) Find the p-value for testing p: B - D versus : Aj- a on the output. Using the pvalue, determine whether we can reject Ho by setting a equal to 10, .05..01, and 001. What do you conclude about the significance of the independent variables in the model? (Round your answers to p-value at B2=0 and B3-0 to 4 decimal places. Round other answers to 3 decimal places.) ;Raject HO at a = Reject HO at a = HO: B3 = 0 ia Raject HO at a= (5) Calculate the 95 percent confidence interval for 84, (Round your answers to 3 decimal places. Negative values should be indicated by a minus sign. 95% C.I. B1 B2 B3 (6) Calculate the 99 percent confidence interval for 84, (Round your answers to 3 decimal places. Negative values should be Indicated by a minus sign.) 99% C.I. 406. 526 (0.001 3,487.078 0.078 B1 0.833 (714.976) 82 1.246| B3 (112.540)
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