In: Statistics and Probability
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
75
6
Cereal 2
105
1
Cereal 3 104
4
Cereal 4 114
5
Cereal 5 126
5
Cereal 6 189
10
Cereal 7
198 11
c) find t stat and P value and interpret.
INTERPRETATION:
The sign of the correlation coefficient represents the direction of the relationship. Positive coefficients indicate that when the value of one variable increases, the value of the other variable also tends to increase. In this case, sign of correlation is positive, it means that as the sugar content in cereal increases, calories increases. In this case magnitude of correlation coefficient is 0.8083 indicating strong correlation between sugar and calories.