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. Product Calories 76 Sugar o Cereal 1 7 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? Cereal 2 Cereal 3 Cereal 4 Cereal 5 Cereal 6 Cereal 7 98 101 2 3 5 114 135 4 185 11 203 10 a. The coefficient of correlation, r=, indicates (Round to three decimal places as needed) v correlation. b. Determine the hypotheses for the test. Choose the correct answer below. OA H B =0 H Po #0 O D. H B, S0 H B >0 OC. H p=0 O B. Ho: pso H p>0 O E. Ho p20 H p<0 H,i p=0 OF. Ho B, 20 H;: B, <0 Compute the test statistic The test statistic is (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. V Họ. There is evidence at the 0.05 level of significance to conclude that there is a significant linear relationship between calories and sugar.

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Sugar
7
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.
Product
Calories
Cereal 1
76
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?
Cereal 2
98
2
Cereal 3
101
3
Cereal 4
114
5
Cereal 5
135
4
Cereal 6
185
11
Cereal 7
203
10
a. The coefficient of correlation, r= , indicates
correlation.
(Round to three decimal places as needed.)
b. Determine the hypotheses for the test. Choose the correct answer below.
O A. Ho: Bo = 0
H;: Bo #0
O B. Ho: ps0
OC. Ho: p=0
H,: p#0
H;: p>0
O D. Ho: B, s0
H;: B, >0
O E. Ho: p20
H;: p<0
O F. Ho: B, 20
H1: B, <0
Compute the test statistic.
The test statistic is
(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.
V Họ. There is
V evidence at the 0.05 level of significance to conclude that there is a significant linear relationship between calories and sugar.
Transcribed Image Text:Sugar 7 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. Product Calories Cereal 1 76 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? Cereal 2 98 2 Cereal 3 101 3 Cereal 4 114 5 Cereal 5 135 4 Cereal 6 185 11 Cereal 7 203 10 a. The coefficient of correlation, r= , indicates correlation. (Round to three decimal places as needed.) b. Determine the hypotheses for the test. Choose the correct answer below. O A. Ho: Bo = 0 H;: Bo #0 O B. Ho: ps0 OC. Ho: p=0 H,: p#0 H;: p>0 O D. Ho: B, s0 H;: B, >0 O E. Ho: p20 H;: p<0 O F. Ho: B, 20 H1: B, <0 Compute the test statistic. The test statistic is (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. V Họ. There is V evidence at the 0.05 level of significance to conclude that there is a significant linear relationship between calories and sugar.
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