A nutritionist collects data from 25 popular breakfast cereals. For each cereal, the number of calories per serving is plotted on the x - axis against the number of milligrams of sodium on the y - axis. The value of r for the resulting scatterplot is 0 point 8 3 Which of the following is a correct interpretation of this value?
Answer
A
As the number of calories increases, the amount of sodium decreases. The relationship is strong.
B
Each additional calorie is predicted to add approximately 0 point 8 3 mg of sodium.
C
There is a positive relationship between calories and sodium. The relationship is strong.
D
There is a positive relationship between calories and sodium. The relationship is weak.
Explanation
The correlation coefficient r = 0.83 is positive, so calories and sodium tend to increase together. Because 0.83 is fairly close to 1, the positive relationship is strong. It describes the direction and strength of the association, not the sodium increase for each additional calorie.
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