The data in the table to the right represent the calories and sugar (in grams) in one serving of seven different types of breakfast cereals. a. Compute and interpret the coefficient of correlation, r. b. At the 0.05 level of significance, is there a significant linear relationship between calories and sugar? (Round to three decimal places as needed.) b. Determine the hypotheses for the test. Choose the correct answer below. OA. Ho: B₁ ≤0 H₁: B₁ > 0 O D. Ho: B₁ 20 H₁: B₁ <0 Compute the test statistic. The test statistic is 3.17. (Round to two decimal places as needed.) Determine the p-value. OB. Ho: p≤0 H₁: p>0 O E. Ho: p20 H₁: p<0 Product Cereal 1 Cereal 2 Cereal 3 Cereal 4 Cereal 5 Cereal 6 Cereal 7 ⒸC. H₁: p=0 H₁: p#0 OF. Ho: Bo=0 Họ: Bo#0 The p-value is. (Round to three decimal places as needed.) Reach a decision. Reject Ho. There is sufficient evidence at the 0.05 level of significance to conclude that there is a significant linear relationship between calories and sugar. Calories 79 103 102 109 133 194 205 Sugar 5 6NWAW 12 9
The data in the table to the right represent the calories and sugar (in grams) in one serving of seven different types of breakfast cereals. a. Compute and interpret the coefficient of correlation, r. b. At the 0.05 level of significance, is there a significant linear relationship between calories and sugar? (Round to three decimal places as needed.) b. Determine the hypotheses for the test. Choose the correct answer below. OA. Ho: B₁ ≤0 H₁: B₁ > 0 O D. Ho: B₁ 20 H₁: B₁ <0 Compute the test statistic. The test statistic is 3.17. (Round to two decimal places as needed.) Determine the p-value. OB. Ho: p≤0 H₁: p>0 O E. Ho: p20 H₁: p<0 Product Cereal 1 Cereal 2 Cereal 3 Cereal 4 Cereal 5 Cereal 6 Cereal 7 ⒸC. H₁: p=0 H₁: p#0 OF. Ho: Bo=0 Họ: Bo#0 The p-value is. (Round to three decimal places as needed.) Reach a decision. Reject Ho. There is sufficient evidence at the 0.05 level of significance to conclude that there is a significant linear relationship between calories and sugar. Calories 79 103 102 109 133 194 205 Sugar 5 6NWAW 12 9
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
![You are testing the null hypothesis that there is no relationship between two variables, X and Y. From your sample of n = 18, you determine that SSR = 80 and SSE=20. Complete parts (a) through (e) below.
c. Based on your answers to (a) and (b), what statistical decision should you make?
O A. Reject Ho. There is no evidence that there is a relationship between X and Y.
O B. Do not reject Ho. There is evidence that there is a relationship between X and Y.
O C. Do not reject Ho. There is no evidence that there is a relationship between X and Y.
Ⓒ D. Reject Ho. There is evidence that there is a relationship between X and Y.
d. Compute the correlation coefficient by first computing and assuming that b₁ is negative.
2 = (Round to four decimal places as needed.)
(Round to four decimal places as needed.)
e. At the 0.05 level of significance, is there a significant correlation between X and Y?
Determine the null and alternative hypotheses for this test.
O A. Ho: p#0
H₁: p=0
OC. Ho: p≤0
H₁: p>0
G
OB. H₂: p=0
H₁: p#0
O D. Ho: p20
H₁: p<0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc91d435c-8a20-4fa9-b80f-5aaeb9e13244%2F50900a7e-7bf5-4dbb-b3fa-7daeb06645c9%2Fn63vs5s_processed.png&w=3840&q=75)
Transcribed Image Text:You are testing the null hypothesis that there is no relationship between two variables, X and Y. From your sample of n = 18, you determine that SSR = 80 and SSE=20. Complete parts (a) through (e) below.
c. Based on your answers to (a) and (b), what statistical decision should you make?
O A. Reject Ho. There is no evidence that there is a relationship between X and Y.
O B. Do not reject Ho. There is evidence that there is a relationship between X and Y.
O C. Do not reject Ho. There is no evidence that there is a relationship between X and Y.
Ⓒ D. Reject Ho. There is evidence that there is a relationship between X and Y.
d. Compute the correlation coefficient by first computing and assuming that b₁ is negative.
2 = (Round to four decimal places as needed.)
(Round to four decimal places as needed.)
e. At the 0.05 level of significance, is there a significant correlation between X and Y?
Determine the null and alternative hypotheses for this test.
O A. Ho: p#0
H₁: p=0
OC. Ho: p≤0
H₁: p>0
G
OB. H₂: p=0
H₁: p#0
O D. Ho: p20
H₁: p<0
![The data in the table to the right represent the calories and sugar (in grams) in one serving of seven different types of breakfast cereals.
a. Compute and interpret the coefficient of correlation, r
b. At the 0.05 level of significance, is there a significant linear relationship between calories and sugar?
(Round to three decimal places as needed.)
b. Determine the hypotheses for the test. Choose the correct answer below.
O A. Ho: B₁ ≤0
H₁: B₁ > 0
O D. Ho: B₁ 20
H₁: B₁ <0
O B.
Ho: p≤0
H₁: p>0
O E. Ho: p²0
H₁: p<0
G
Product
Cereal 1
Cereal 2
Cereal 3
Cereal 4
Cereal 5
Cereal 6
Cereal 7
ⒸC. Ho: p=0
H₁: p#0
OF. Ho: B₂=0
Họ: Bo=0
Compute the test statistic.
The test statistic is 3.17. (Round to two decimal places as needed.)
Determine the p-value.
The p-value is (Round to three decimal places as needed.)
Reach a decision.
Reject Ho. There is sufficient evidence at the 0.05 level of significance to conclude that there is a significant linear relationship between calories and sugar.
Calories
79
103
102
109
133
194
205
Sugar
5
3
ON WAW
12](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc91d435c-8a20-4fa9-b80f-5aaeb9e13244%2F50900a7e-7bf5-4dbb-b3fa-7daeb06645c9%2Fdp7gw28_processed.png&w=3840&q=75)
Transcribed Image Text:The data in the table to the right represent the calories and sugar (in grams) in one serving of seven different types of breakfast cereals.
a. Compute and interpret the coefficient of correlation, r
b. At the 0.05 level of significance, is there a significant linear relationship between calories and sugar?
(Round to three decimal places as needed.)
b. Determine the hypotheses for the test. Choose the correct answer below.
O A. Ho: B₁ ≤0
H₁: B₁ > 0
O D. Ho: B₁ 20
H₁: B₁ <0
O B.
Ho: p≤0
H₁: p>0
O E. Ho: p²0
H₁: p<0
G
Product
Cereal 1
Cereal 2
Cereal 3
Cereal 4
Cereal 5
Cereal 6
Cereal 7
ⒸC. Ho: p=0
H₁: p#0
OF. Ho: B₂=0
Họ: Bo=0
Compute the test statistic.
The test statistic is 3.17. (Round to two decimal places as needed.)
Determine the p-value.
The p-value is (Round to three decimal places as needed.)
Reach a decision.
Reject Ho. There is sufficient evidence at the 0.05 level of significance to conclude that there is a significant linear relationship between calories and sugar.
Calories
79
103
102
109
133
194
205
Sugar
5
3
ON WAW
12
Expert Solution
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Step 1
X | Y |
79 | 5 |
103 | 1 |
102 | 3 |
109 | 4 |
133 | 3 |
194 | 12 |
205 | 9 |
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