The following estimated regression equation based on 10 observations was presented. ŷ = 23.1170 + 0.5101x, + 0.4920x2 6,224.375, Sby = 0.0569. Here, SST = 6,722.125, SSR = = 0.0816, and

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The following estimated regression equation based on 10 observations was presented.
ŷ = 23.1170 + 0.5101x, + 0.4920x2
%3D
Here, SST = 6,722.125, SSR = 6,224.375,
0.0816, and
= 0.0569.
%3D
zas
(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.
Но: В + 0 and B, + 0
H: One or more of the parameters is equal to zero.
Ho: B1 > B2
Hg: Bq s Bz
Ho: B1 = B2 = 0
: One or more of the parameters is not equal to zero.
%D
Ho: B1 < B2
Ho: B1 + 0 and ß, = 0
%3D
Ha: B1
= 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.
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 Ho. 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. ŷ = 23.1170 + 0.5101x, + 0.4920x2 %3D Here, SST = 6,722.125, SSR = 6,224.375, 0.0816, and = 0.0569. %3D zas (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. Но: В + 0 and B, + 0 H: One or more of the parameters is equal to zero. Ho: B1 > B2 Hg: Bq s Bz Ho: B1 = B2 = 0 : One or more of the parameters is not equal to zero. %D Ho: B1 < B2 Ho: B1 + 0 and ß, = 0 %3D Ha: B1 = 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. 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 Ho. 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.
(c) Perform at test for the significance of B,. Use a = 0.05.
State the null and alternative hypotheses.
Ho: B1 > 0
Ho: B1 = 0
Ha: B1 + 0
Ho: B1
= 0
Ha: B1 > 0
Ho: B, + 0
H3: B1 = 0
Hoi B1
H3: B1 2 0
< 0
Find the value of the test statistic. (Round your answer to two decimal places.)
t =
Find the p-value. (Round your answer to three decimal places.)
p-value
%D
State your conclusion.
Do not reject Ho. There is sufficient evidence to conclude that B, is significant.
Reject Ho.
There is sufficient evidence to conclude that ß, is significant.
Reject Ho. There is insufficient evidence to conclude that ß, is significant.
Do not reject Ho: There is insufficient 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.
Ho: B2 > 0
Ha: B2s 0
Ho: B2 = 0
Ha: B2 > 0
Transcribed Image Text:(c) Perform at test for the significance of B,. Use a = 0.05. State the null and alternative hypotheses. Ho: B1 > 0 Ho: B1 = 0 Ha: B1 + 0 Ho: B1 = 0 Ha: B1 > 0 Ho: B, + 0 H3: B1 = 0 Hoi B1 H3: B1 2 0 < 0 Find the value of the test statistic. (Round your answer to two decimal places.) t = Find the p-value. (Round your answer to three decimal places.) p-value %D State your conclusion. Do not reject Ho. There is sufficient evidence to conclude that B, is significant. Reject Ho. There is sufficient evidence to conclude that ß, is significant. Reject Ho. There is insufficient evidence to conclude that ß, is significant. Do not reject Ho: There is insufficient 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. Ho: B2 > 0 Ha: B2s 0 Ho: B2 = 0 Ha: B2 > 0
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