The data in the table to the right represent the calories and sugar (in grams) i
ID: 3247554 • Letter: T
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 80 5
Cereal 2 96 1
Cereal 3 95 4
Cereal 4 112 4
Cereal 5 129 3
Cereal 6 186 11
Cereal 7 200 9
(Fill in the Blank, Choose Correct Choice)
a. The coefficient of correlation, r = ___?, indicates (no, a perfect negative, a positive, a negative, a perfect positive) correlation.
(Round to three decimal places as needed.)
b. Determine the hypotheses for the test. (Choose the correct answer below)
A. H0: 1 0
H1: 1 <0
B. H0: r 0
H1: r <0
C. H0: r =0
H1: r 0
D. H0: r 0
H1: r >0
E. H0: 0 =0
H1: 0 0
F. H0: 1 0
H1: 1 >0
Compute the test statistic. (Fill in the Blanks)
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.
(Reject, Do not reject) H0. There is (sufficient, insufficient) evidence at the 0.05 level of significance to conclude that there is a significant linear relationship between calories and sugar.
Explanation / Answer
a) Correlation = 0.823
A positive correlation
b) H0: r =0
H1: r 0
Test statistic = 3.23
p-value = 0.0231
Reject; Sufficient
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