Consider the data. X; 2 6 9 13 20 YI 9 20 10 25 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. O Ho: B, + 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Consider the data.
x; 2 69
13
Y;| 9
20 10
25
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.
Ho: Bq # 0
Ha: B1
= 0
Ho: Bo + 0
Hai Po
= 0
Ho: Po = 0
Ho: Bo
Ha: Po
Ho: B1 2 0
Ha: B1 < 0
O Ho: B1 = 0
H: B, + 0
a
1
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.
Reject Ho. We cannot 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 reject Ho: We conclude that the relationship between x and y is significant.
20
O O O
Transcribed Image Text:Consider the data. x; 2 69 13 Y;| 9 20 10 25 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. Ho: Bq # 0 Ha: B1 = 0 Ho: Bo + 0 Hai Po = 0 Ho: Po = 0 Ho: Bo Ha: Po Ho: B1 2 0 Ha: B1 < 0 O Ho: B1 = 0 H: B, + 0 a 1 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. Reject Ho. We cannot 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 reject Ho: We conclude that the relationship between x and y is significant. 20 O O O
(c) Use the F test to test for a significant relationship. Use a =
0.05.
State the null and alternative hypotheses.
Ho: B1 + 0
Ha: B1
Ho: Bo + 0
Hai Bo
= 0
Ho: Bo
= 0
Ha: Bo + 0
O Ho: B1 = 0
H: B1 + 0
a'
O Ho: B1 2 0
Ha: 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?
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.
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. Ho: B1 + 0 Ha: B1 Ho: Bo + 0 Hai Bo = 0 Ho: Bo = 0 Ha: Bo + 0 O Ho: B1 = 0 H: B1 + 0 a' O Ho: B1 2 0 Ha: 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? 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. 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.
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