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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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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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
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
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
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