(a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.) 6.264 (b) Test for a significant relationship by using the t test. Use a = 0.05. State the null and alternative hypotheses. OHO: Bo = 0 Hộ Boto OHO: Bo = 0 Ha : Bo = 0 ⒸH₁: B₁ = 0 H₂: B₁ = 0 O Ho: B₁ ≥ 0 1 H₂: B₁ <0
(a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.) 6.264 (b) Test for a significant relationship by using the t test. Use a = 0.05. State the null and alternative hypotheses. OHO: Bo = 0 Hộ Boto OHO: Bo = 0 Ha : Bo = 0 ⒸH₁: B₁ = 0 H₂: B₁ = 0 O Ho: B₁ ≥ 0 1 H₂: B₁ <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:You may need to use the appropriate technology to answer this question.
Consider the data.
X; 2 6
Y₁
8
00
(a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.)
6.264
19 9 24 21
(b) Test for a significant relationship by using the t test. Use a = 0.05.
State the null and alternative hypotheses.
OHO: Bo = 0
Ha: Bo = 0
#
0
o Hoi Boto
Ha: Bo = 0
ⒸH₁: B₁ = 0
Ha: B₁ = 0
OHO: B₁ 20
1
9 13 20
H₂: B₁ <0
1
O Ho: B₁ * 0
1
Ha: B₁ = 0
1
Find the value of the test statistic. (Round your answer to three decimal places.)
1.540
Find the p-value. (Round your answer to four decimal places.)
p-value = 0.2211
State your conclusion.
Reject Ho. We cannot conclude that the relationship between x and y is significant.
Do not reject H. We conclude that the relationship between x and y is significant.
Do not reject Ho. We cannot conclude that the relationship between x and y is significant.
Reject Ho. We conclude that the relationship between x and y is significant.

Transcribed Image Text:(c) Use the F test to test for a significant relationship. Use a = 0.05.
State the null and alternative hypotheses.
o Hoi Boto
#
H₂: : Bo = 0
o Ho: Bo=0
Hai Boo
#
1
O Ho: B₁ * 0
H₂: B₁ = 0
O Ho: B₁ 20
1
H₂: B₁ <0
a
1
Ho: B1
= 0
H₂: B₁
#0
Find the value of the test statistic. (Round your answer to two decimal places.)
1.723445
Find the p-value. (Round your answer to three decimal places.)
p-value = 0.18328
What is your conclusion?
Do not reject Ho. We cannot conclude that the relationship between x and y is significant.
Do not reject Ho. We conclude that the relationship between x and y is significant.
Reject Ho. We cannot conclude that the relationship between x and y is significant.
O Reject Ho. We conclude that the relationship between x and y is significant.
Expert Solution

Step 1: Determine the given data in the question
Here dataset is given of size 5.
To fit the regression using technology.
Assume the level of significance
Step by step
Solved in 3 steps with 14 images
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