The following estimated regression equation based on 10 observations was presented. ý = 29.1970 + 0.5509x, + 0.4920x, Here, SST = 6,722.125, SSR = 6,211.375, s. = 0.0819, and s, = 0.0567. (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. Hoi ßg> B2 Ho: B, + 0 and B, + 0 H: One or more of the parameters is equal to zero. * 0 and B, = 0 H: B, - 0 and B2 0 %3D Hoi B1 = 82 = 0 : One or more of the parameters is not 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 H,. 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 Hg. There is insufficient evidence to conclude that the overall model is significant.

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The following estimated regression equation based on 10 observations was presented.
ý = 29.1970 + 0.5509x, + 0.4920x,
Here, SST = 6,722.125, SSR = 6,211.375, s, = 0.0819, and
= 0.0567.
(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.
Ho: B, > B2
1
S 82
H.:
Ho: B +0 and B, * 0
H: One or more of the parameters is equal to zero.
Ho: B1 + 0 and 8, = 0
= 0 and 82 + 0
H: B,
Ho: B1 < B2
1.
Hoi B1 = B2 = 0
H: One or more of the parameters is not equal to zero.
%3D
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.
Do not reject H,. 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.
O Do not reject Hg. 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 = 29.1970 + 0.5509x, + 0.4920x, Here, SST = 6,722.125, SSR = 6,211.375, s, = 0.0819, and = 0.0567. (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. Ho: B, > B2 1 S 82 H.: Ho: B +0 and B, * 0 H: One or more of the parameters is equal to zero. Ho: B1 + 0 and 8, = 0 = 0 and 82 + 0 H: B, Ho: B1 < B2 1. Hoi B1 = B2 = 0 H: One or more of the parameters is not equal to zero. %3D 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. Do not reject H,. 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. O Do not reject Hg. There is insufficient evidence to conclude that the overall model is significant.
(c) Perform a t test for the significance of 8,. Use a = 0.05.
State the null and alternative hypotheses.
= 0
Ho: B1
B, 2 0
< 0
H :
H.: B, 0
H : B
= 0
Ho: B1 > 0
H: B, s0
= 0
H: B, + 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
State your conclusion.
O Reject Hg. There is sufficient evidence to conclude that B, is significant.
Do not reject Hg. There is insufficient evidence to conclude that B, is significant.
Reject Hg. There is insufficient evidence to conclude that 8, is significant.
Do not reject Hg. There is sufficient evidence to conclude that 8, is significant.
(d) Perform a t test for the significance of 8,. Use a = 0.05.
State the null and alternative hypotheses.
Ho: B2 < 0
H: B2 2 0
Ho: B2 = 0
H: 82
Ho: B2 >0
H: B2 s0
Ho: B2
H: B2
= 0
Ho: B2 = 0
H: B2 > 0
Find the value of the test statistic. (Round your answer to two decimal places.)
t =
Transcribed Image Text:(c) Perform a t test for the significance of 8,. Use a = 0.05. State the null and alternative hypotheses. = 0 Ho: B1 B, 2 0 < 0 H : H.: B, 0 H : B = 0 Ho: B1 > 0 H: B, s0 = 0 H: B, + 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 State your conclusion. O Reject Hg. There is sufficient evidence to conclude that B, is significant. Do not reject Hg. There is insufficient evidence to conclude that B, is significant. Reject Hg. There is insufficient evidence to conclude that 8, is significant. Do not reject Hg. There is sufficient evidence to conclude that 8, is significant. (d) Perform a t test for the significance of 8,. Use a = 0.05. State the null and alternative hypotheses. Ho: B2 < 0 H: B2 2 0 Ho: B2 = 0 H: 82 Ho: B2 >0 H: B2 s0 Ho: B2 H: B2 = 0 Ho: B2 = 0 H: B2 > 0 Find the value of the test statistic. (Round your answer to two decimal places.) t =
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