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? Product Calories Sugar Cereal 1 84 6 Cereal 2 101 2 Cereal 3 96 4 Cereal 4 113 3 Cereal 5 128 5 Cereal 6 186 10 Cereal 7 204 10 a. The coefficient of correlation, r=enter your response here, indicates________correlation. (Round to three decimal places as needed.) b. Determine the hypotheses for the test. Choose the correct answer below. A. H Subscript 0:ρ≤0 H Subscript 1:ρ>0 B. H Subscript 0: β Subscript 1≤0 H Subscript 1: β Subscript 1>0 C. H Subscript 0: ρ=0 H Subscript 1: ρ≠0 D. H Subscript 0: β Subscript 0=0 H Subscript 1: β Subscript 0≠0 E. H Subscript 0:ρ≥0 H Subscript 1:ρ<0 F. H Subscript 0:β Subscript 1≥0 H Subscript 1:β Subscript 1<0 Part 3 Compute the test statistic. The test statistic is______enter your response here. (Round to two decimal places as needed.) Determine the p-value. The p-value is enter your response here. (Round to three decimal places as needed.) Reach a decision. ▼ Reject Do not reject H Subscript 0. There is ▼ insufficient sufficient evidence at the 0.05 level of significance to conclude that there is a significant linear relationship between calories and sugar.
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? Product Calories Sugar Cereal 1 84 6 Cereal 2 101 2 Cereal 3 96 4 Cereal 4 113 3 Cereal 5 128 5 Cereal 6 186 10 Cereal 7 204 10 a. The coefficient of correlation, r=enter your response here, indicates________correlation. (Round to three decimal places as needed.) b. Determine the hypotheses for the test. Choose the correct answer below. A. H Subscript 0:ρ≤0 H Subscript 1:ρ>0 B. H Subscript 0: β Subscript 1≤0 H Subscript 1: β Subscript 1>0 C. H Subscript 0: ρ=0 H Subscript 1: ρ≠0 D. H Subscript 0: β Subscript 0=0 H Subscript 1: β Subscript 0≠0 E. H Subscript 0:ρ≥0 H Subscript 1:ρ<0 F. H Subscript 0:β Subscript 1≥0 H Subscript 1:β Subscript 1<0 Part 3 Compute the test statistic. The test statistic is______enter your response here. (Round to two decimal places as needed.) Determine the p-value. The p-value is enter your response here. (Round to three decimal places as needed.) Reach a decision. ▼ Reject Do not reject H Subscript 0. There is ▼ insufficient sufficient evidence at the 0.05 level of significance to conclude that there is a significant linear relationship between calories and sugar.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
Related questions
Question
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?
Product Calories Sugar
Cereal 1 84 6
Cereal 2 101 2
Cereal 3 96 4
Cereal 4 113 3
Cereal 5 128 5
Cereal 6 186 10
Cereal 7 204 10
Cereal 1 84 6
Cereal 2 101 2
Cereal 3 96 4
Cereal 4 113 3
Cereal 5 128 5
Cereal 6 186 10
Cereal 7 204 10
a. The coefficient of correlation,
r=enter your response here,
indicates________correlation.(Round to three decimal places as needed.)
b. Determine the hypotheses for the test. Choose the correct answer below.
H Subscript 0:ρ≤0
H Subscript 1:ρ>0
H Subscript 0: β Subscript 1≤0
H Subscript 1: β Subscript 1>0
H Subscript 0: ρ=0
H Subscript 1: ρ≠0
H Subscript 0: β Subscript 0=0
H Subscript 1: β Subscript 0≠0
H Subscript 0:ρ≥0
H Subscript 1:ρ<0
H Subscript 0:β Subscript 1≥0
H Subscript 1:β Subscript 1<0
Part 3
Compute the test statistic.
The test statistic is______enter your response here.
(Round to two decimal places as needed.)
(Round to two decimal places as needed.)
Determine the p-value.
The p-value is
enter your response here.
(Round to three decimal places as needed.)Reach a decision.
▼
RejectDo not reject
H Subscript 0. There is
▼
insufficientsufficient
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