An 8th grade class develops a linear model that predicts the number of cheerios (a small round cereal) that fit on the circumference of a plate by using the diameter in inches. Their model is${\hat{\text { cheerios }}}$ $= 0.56 + 5.11$ (diameter).
The slope of this model is best interpreted in context as...
A) For every $5.11$ inches of diameter, the circumference is about 1 cheerio bigger.
B) For every 1 inch of diameter, the circumference holds about $0.56$ more cheerios.
C) It takes $5.11$ cheerios to fill a plate's circumference.
D) For every 1 inch of diameter, the circumference holds about $5.11$ more cheerios.
E) A mistake, because $\pi$ is about $3.14$ and that should be the slope.

Question

Quizplus · Accepted Answer

The slope in a linear model represents the rate of change. In this context, the slope of 5.11 indicates that for every 1 inch increase in the diameter of the plate, the circumference can hold approximately 5.11 more cheerios.

An 8th Grade Class Develops a Linear Model That Predicts cheerios ^{\hat{\text { cheerios }}} cheerios ^

An 8th Grade Class Develops a Linear Model That Predicts ${\hat{\text { cheerios }}}$