You may need to use the appropriate technology to answer this question. Consider the data. X1 2 69| 13 20 YI 5 19 11 26 22 (a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.) (b) Test for a significant relationship by using the t test. Use a = 0.05. State the null and alternative hypotheses. C Ho: B, + 0 Ha: B = 0 C Họ: Bị = 0 H3: Bz # 0 %3D C Họ: Bị 2 0 Ha: B1 < 0 C Ho: Po + 0 Ha: Bo = 0 C Ho: Bo = 0 Hg: Bo #0 %3D Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. C Reject Ho. 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. Do not reiect H We concluude that the relationshin between x and v is significant
You may need to use the appropriate technology to answer this question. Consider the data. X1 2 69| 13 20 YI 5 19 11 26 22 (a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.) (b) Test for a significant relationship by using the t test. Use a = 0.05. State the null and alternative hypotheses. C Ho: B, + 0 Ha: B = 0 C Họ: Bị = 0 H3: Bz # 0 %3D C Họ: Bị 2 0 Ha: B1 < 0 C Ho: Po + 0 Ha: Bo = 0 C Ho: Bo = 0 Hg: Bo #0 %3D Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. C Reject Ho. 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. Do not reiect H We concluude that the relationshin between x and v is significant
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
1
![You may need to use the appropriate technology to answer this question.
Consider the data.
*1 2 6 9 13 20
Y; 5 19 11 26
22
(a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.)
(b) Test for a significant relationship by using the t test. Use a = 0.05.
State the null and alternative hypotheses.
C Ho: B + 0
H3: Bz = 0
C Ho: Bị = 0
C Ho: Bị z0
Ha: B1 < 0
C Ho: Po + 0
Hạ: Po = 0
C Họ: Po = 0
H3: Bo # 0
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Reject Ho. 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.
C Do not reject Ho. We conclude that the relationship between x and y is significant.
C Reject Ho. We cannot 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.
C Ho: Bo + 0
H3: Po = 0
C Ho: Po = 0
Ha: Po * 0
C Ho: P1 2 0
Hạ: Bz < 0
C Ho: B = 0
C Ho: B1 + 0
Hạ: B = 0
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
What is your conclusion?
C Do not reject Ho. We conclude that the relationship between x and y is significant.
Reject Ho. We conclude that the relationship between x and y is significant.
C Reject Ho. We cannot conclude that the relationship between x and y is significant.
C Do not reject Ho. We cannot conclude that the relationship between x and y is significant.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff12f66ad-f5f7-4ea8-a18a-0cfe5c26a701%2F7cfaf5a3-1445-4872-8536-5bc4c1400827%2Fnpohy9i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:You may need to use the appropriate technology to answer this question.
Consider the data.
*1 2 6 9 13 20
Y; 5 19 11 26
22
(a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.)
(b) Test for a significant relationship by using the t test. Use a = 0.05.
State the null and alternative hypotheses.
C Ho: B + 0
H3: Bz = 0
C Ho: Bị = 0
C Ho: Bị z0
Ha: B1 < 0
C Ho: Po + 0
Hạ: Po = 0
C Họ: Po = 0
H3: Bo # 0
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Reject Ho. 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.
C Do not reject Ho. We conclude that the relationship between x and y is significant.
C Reject Ho. We cannot 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.
C Ho: Bo + 0
H3: Po = 0
C Ho: Po = 0
Ha: Po * 0
C Ho: P1 2 0
Hạ: Bz < 0
C Ho: B = 0
C Ho: B1 + 0
Hạ: B = 0
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
What is your conclusion?
C Do not reject Ho. We conclude that the relationship between x and y is significant.
Reject Ho. We conclude that the relationship between x and y is significant.
C Reject Ho. We cannot conclude that the relationship between x and y is significant.
C Do not reject Ho. We cannot conclude that the relationship between x and y is significant.
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