propriate technology to answer this question. e following estimated regression equation based on 10 observations was presented. 9 = 27.1270 + 0.5503x, + 0.4960x, ere, SST = 6,728.125, SSR = 6,228.375, s. = 0.0814, and = 0.0565. a) Compute MSR and MSE. (Round your answers to three decimal places.) MSR = MSE = (b) Compute Fand perform the appropriate F test. Use a = 0.05. State the null and alternative hypotheses. O Ho: B= B2 = 0 H: One or more of the parameters is not equal to zero. Ho: B1 B2 O Ho: B,0 and B, = 0 H,-0 and B, 0 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 H There is sufficient evidence to conclude that the overall model is significant. O Do not reject H. There is sufficient evidence to conclude that the overall model is significant. O Reject H There is insuffident evidence to conclude that the overall model is significant. O Do not reject H There is insufficient evidence to conclude that the overall model is significant. (c) Perform at test for the significance of B, Use a = 0.05. State the null and alternative hypotheses. (c) Perform a t test for the significance of B,. Use a = 0.05. State the null and alternative hypotheses. o "o: P 0 HB, = 0 o o , 0 o "o B, > o o "o: P, < o
propriate technology to answer this question. e following estimated regression equation based on 10 observations was presented. 9 = 27.1270 + 0.5503x, + 0.4960x, ere, SST = 6,728.125, SSR = 6,228.375, s. = 0.0814, and = 0.0565. a) Compute MSR and MSE. (Round your answers to three decimal places.) MSR = MSE = (b) Compute Fand perform the appropriate F test. Use a = 0.05. State the null and alternative hypotheses. O Ho: B= B2 = 0 H: One or more of the parameters is not equal to zero. Ho: B1 B2 O Ho: B,0 and B, = 0 H,-0 and B, 0 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 H There is sufficient evidence to conclude that the overall model is significant. O Do not reject H. There is sufficient evidence to conclude that the overall model is significant. O Reject H There is insuffident evidence to conclude that the overall model is significant. O Do not reject H There is insufficient evidence to conclude that the overall model is significant. (c) Perform at test for the significance of B, Use a = 0.05. State the null and alternative hypotheses. (c) Perform a t test for the significance of B,. Use a = 0.05. State the null and alternative hypotheses. o "o: P 0 HB, = 0 o o , 0 o "o B, > o o "o: P, < o
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:You may need to use the appropriate technology to answer this question.
The following estimated regression equation based on 10 observations was presented.
9 = 27.1270 + 0.5503x, + 0.4960x-2
Here, SST = 6,728.125, SSR = 6,228.375, s, = 0.0814, and s,
= 0.0565.
(a) Compute MSR and MSE. (Round your answers to three decimal places.)
MSR =
MSE =
(b) Compute Fand perform the appropriate F test. Use a = 0.05.
State the null and alternative hypotheses.
O Ho: B = B2 = 0
H: One or more of the parameters is not equal to zero.
O Ho: B1< B2
O Ho: B,+0 and B, +0
H: One or more of the parameters is equal to zero.
O Ho: B > B2
O Ho: B1*0 and B, = 0
H: B = 0 and B, +0
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 H. There is sufficient evidence to conclude that the overall model is significant.
O Do not reject H There is sufficient evidence to conclude that the overail model is significant.
O Reject H 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.
(C) Perform at test for the significance of B,. Use a = 0.05.
State the null and alternative hypotheses.
(c) Perform at test for the significance of B,. Use a = 0.05.
State the null and alternative hypotheses.
o Ho: P 0
H: B, = 0
o Ho ,= o
= 'g H
o "o = 0
H B.> 0
o o B, > o
o o , <0
H: B, 20
Transcribed Image Text:Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
State your conclusion.
O Reject H. There is insufficient evidence to conclude that 8, is significant.
O Do not reject H There is insufficient evidence to conclude that 6, is significant.
O Do not reject H. There is sufficient evidence to conclude that , is significant.
O Reject H There is sufficient evidence to conclude that B, is significant.
(d) Perform at test for the significance of B, Use a
0.05.
State the null and alternative hypotheses.
Hoi Bz>0
Ho Bz =0
H By>0
Ho Az =0
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value
%3D
State your conclusion.
O Do not reject H.. There is sufficient evidence to conclude that B, is significant.
O Reject H.. There is insufficient evidence to conclude that B, is significant.
O Do not reject H. There is insufficient evidence to conclude that B, is significant.
Reject Ho. There is sufficient evidence to conclude that 6, is significant.
CO O
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