(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: Bq = 0 H: 8, - 0 O Ho: B 20 O Ho: B = 0 H: B 0 O Ho: Bo = 0 H: Bo = 0 O Ho: Bo +0 H 8o = 0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Consider the data.
х, | 2
6
13
20
9
17
10
27
24
(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
H: B, = 0
O Ho: B, 2 0
H: B, < 0
O Ho: B, = 0
H: B + 0
O Ho: Bo = 0
H: Bo + 0
O Ho: Bo + 0
H: B, = 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.
O Reject H. We cannot conclude that the relationship between x and y is significant.
O Do not reject Hn. We conclude that the relationship between x and y is significant.
O Reject H. We conclude that the relationship between x and y is significant.
O Do not reject H.. We cannot conclude that the relationship between x and y is significant.
Transcribed Image Text:Consider the data. х, | 2 6 13 20 9 17 10 27 24 (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 H: B, = 0 O Ho: B, 2 0 H: B, < 0 O Ho: B, = 0 H: B + 0 O Ho: Bo = 0 H: Bo + 0 O Ho: Bo + 0 H: B, = 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. O Reject H. We cannot conclude that the relationship between x and y is significant. O Do not reject Hn. We conclude that the relationship between x and y is significant. O Reject H. We conclude that the relationship between x and y is significant. O Do not reject H.. We cannot conclude that the relationship between x and y is significant.
O Do not reject Hg. 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.
O Ho: B1 * 0
H: B = 0
O Ho: Bo +0
H2: Bo = 0
O Hoi Bq 20
H: Bg < 0
O Ho: B, = 0
H: B, * 0
O Ho: Bo = 0
H: Bo + 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.
O Reject H,. We conclude that the relationship between x and y is significant.
O Do not reject H,. We conclude that the relationship between x and y is significant.
O Do not reject H.. We cannot conclude that the relationship between x and y is significant.
Transcribed Image Text:O Do not reject Hg. 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. O Ho: B1 * 0 H: B = 0 O Ho: Bo +0 H2: Bo = 0 O Hoi Bq 20 H: Bg < 0 O Ho: B, = 0 H: B, * 0 O Ho: Bo = 0 H: Bo + 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. O Reject H,. We conclude that the relationship between x and y is significant. O Do not reject H,. We conclude that the relationship between x and y is significant. O Do not reject H.. We cannot conclude that the relationship between x and y is significant.
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