o Ho: P1 > B2 O Ho: P1 = B2 = o H: One or more of the parameters is not equal to zero. * 0 and ß, = 0 %3D H: B, = 0 and ß, # 0 o Ho: P1 < B2 Hai Pq Z Bz O Ho: B, # 0 and ß, # 0 H: One or more of the parameters is equal to zero. Find the value of the test statistic. (Round your answer to two decimal places.) F = Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Reject Ho. There is sufficient evidence to conclude that the overall model is significant. O Do not reject Ho. There is sufficient evidence to conclude that the overall model is significant. O Reject Ho. There is insufficient evidence to conclude that the overall model is significant. O Do not reject Ho. There is insufficient evidence to conclude that the overall model is significant.

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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question 3 part 1 

The following estimated regression equation based on 10 observations was presented.
ý :
= 21.1270 + 0.5508x, + 0.4940x2
Here, SST = 6,736.125, SSR = 6,218.375,
= 0.0815, and s,
= 0.0561.
(a) Compute MSR and MSE. (Round your answers to three decimal places.)
MSR =
MSE =
(b) Compute F and perform the appropriate F test. Use a = 0.05.
State the null and alternative hypotheses.
Hoi Bq> Bz
Hoi Bq = B2
H: One or more of the parameters is not equal to zero.
= 0
Ho: B1 + 0 and ß, = 0
= 0 and ß, 0
Hoi Bq < Bz
1
1
Но: В + 0 and B, + 0
H: One or more of the parameters is equal to zero.
a'
Find the value of the test statistic. (Round your answer to two decimal places.)
F =
Find the p-value. (Round your answer to three decimal places.)
p-value =
State your conclusion.
Reject Ho. There is sufficient evidence to conclude that the overall model is significant.
Do not reject Ho. There is sufficient evidence to conclude that the overall model is significant.
Reject H. There is insufficient evidence to conclude that the overall model is significant.
Do not reject Ho: There is insufficient evidence to conclude that the overall model is significant.
Transcribed Image Text:The following estimated regression equation based on 10 observations was presented. ý : = 21.1270 + 0.5508x, + 0.4940x2 Here, SST = 6,736.125, SSR = 6,218.375, = 0.0815, and s, = 0.0561. (a) Compute MSR and MSE. (Round your answers to three decimal places.) MSR = MSE = (b) Compute F and perform the appropriate F test. Use a = 0.05. State the null and alternative hypotheses. Hoi Bq> Bz Hoi Bq = B2 H: One or more of the parameters is not equal to zero. = 0 Ho: B1 + 0 and ß, = 0 = 0 and ß, 0 Hoi Bq < Bz 1 1 Но: В + 0 and B, + 0 H: One or more of the parameters is equal to zero. a' Find the value of the test statistic. (Round your answer to two decimal places.) F = Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Reject Ho. There is sufficient evidence to conclude that the overall model is significant. Do not reject Ho. There is sufficient evidence to conclude that the overall model is significant. Reject H. There is insufficient evidence to conclude that the overall model is significant. Do not reject Ho: There is insufficient evidence to conclude that the overall model is significant.
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