(c) Perform a t test for the significance of B₁. Use a = 0.05. State the null and alternative hypotheses. Ho: B₁ = 0 H₂: B₁ = 0 Ho: B₂ > 0 1 Ha: B₁ ≤0 1 O Ho: B₁ <0 1 H₂: B₁ 20 1 O Ho: B₁ = 0 B1 H₂: B₁ * 0 H₁: B ₁ = 0 1 H₂: B₁ > 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. Reject Ho. There is insufficient evidence to conclude that B₁ is significant. Do not reject H. There is sufficient evidence to conclude that B₁ is significant. Reject Ho. There is sufficient evidence to conclude that B₁ is significant. O Do not reject Ho. There is insufficient evidence to conclude that is significant. (d) Perform a t test for the significance of ß₂. Use a = 0.05. State the null and alternative hypotheses. Ho: B₂ <0 Ha: B₂ 20 = 0 Ho: B₂ Ha: B₂ > 0 O Ho: B₂ = 0 H₂: B₂ = 0 Ho: B₂ = 0 # 2 H₂: B₂ = 0 O Ho: B₂ > 0 H₂: B₂ ≤0
(c) Perform a t test for the significance of B₁. Use a = 0.05. State the null and alternative hypotheses. Ho: B₁ = 0 H₂: B₁ = 0 Ho: B₂ > 0 1 Ha: B₁ ≤0 1 O Ho: B₁ <0 1 H₂: B₁ 20 1 O Ho: B₁ = 0 B1 H₂: B₁ * 0 H₁: B ₁ = 0 1 H₂: B₁ > 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. Reject Ho. There is insufficient evidence to conclude that B₁ is significant. Do not reject H. There is sufficient evidence to conclude that B₁ is significant. Reject Ho. There is sufficient evidence to conclude that B₁ is significant. O Do not reject Ho. There is insufficient evidence to conclude that is significant. (d) Perform a t test for the significance of ß₂. Use a = 0.05. State the null and alternative hypotheses. Ho: B₂ <0 Ha: B₂ 20 = 0 Ho: B₂ Ha: B₂ > 0 O Ho: B₂ = 0 H₂: B₂ = 0 Ho: B₂ = 0 # 2 H₂: B₂ = 0 O Ho: B₂ > 0 H₂: B₂ ≤0
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:(c) Perform a t test for the significance of B₁. Use a = 0.05.
State the null and alternative hypotheses.
Ho: B₁ = 0
1
: B₁ = 0
Ho: B₁ > 0
H₂: B₁ ≤0
1
1
H₂
Ho: B₁ <0
1
Ha: B₁ ≥ 0
1
Ho: B₁ = 0
B1
Ha: B₁ * 0
Ho: B1 = 0
Ha: B₁ > 0
1
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.
Reject H. There is insufficient evidence to conclude that ₁ is significant.
Do not reject Ho. There is sufficient evidence to conclude that B₁ is significant.
Reject Ho. There is sufficient evidence to conclude that B₁ is significant.
Do not reject Ho. There is insufficient evidence to conclude that B₁ is significant.
(d) Perform a t test for the significance of ₂. Use a = 0.05.
State the null and alternative hypotheses.
Ho: B₂ <0
Ha: B₂ ≥ 0
= 0
Ho: B₂
Ha: B₂ > 0
2
Ho: B₂ = 0
H₂: B₂ #0
O Ho: B₂ = 0
2
Ha: B₂
= 0
O Ho: B₂ > 0
Ha: B₂ ≤0

Transcribed Image Text:The following estimated regression equation based on 10 observations was presented.
ŷ = 27.1270 +0.5104x₁ + 0.4980x₂
1
Here, SST = 6,736.125, SSR = 6,222.375, 5b₁ = 0.0813, and
= 0.0567.
562
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