(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

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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: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.
(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.
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 left parenthesis alpha right parenthesis equals 0.05


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