Question

for many people, breakfast cereal is an important source of fiber in their diets. cereals also contain potassium, a mineral shown to be associated with maintaining a healthy blood pressure. an analysis of the amount of fiber (in grams) and the potassium content (in milligrams) in one serving of 77 breakfast cereals produced the regression model potassium = 36 + 27 fiber. from this model you can estimate a cereals potassium content from the amount of fiber it contains. in this context, what does it mean to say that a cereal has a negative residual? what does it mean to say that a cereal has a residual of - 22?
in this context, what does it mean to say that a cereal has a negative residual?
a. the cereal is an outlier in the model.
b. the potassium content is actually lower than the model predicts for a cereal with that much fiber.
c. the cereal does not have enough potassium.
d. the potassium content is actually higher than the model predicts for a cereal with that much fiber.

Explanation:

A residual is calculated as the actual value minus the predicted value. If the residual is negative, it means the actual value is less than the predicted value. In this context, the actual potassium content is lower than what the regression model (Potassium = 36 + 27*Fiber) predicts for a cereal with that much fiber.

Answer:

B. The potassium content is actually lower than the model predicts for a cereal with that much fiber.