An 8th grade class develops a linear model that predicts the number of cheerios that fit on the circumference of a plate by using the diameter in inches.   Their model is Cheerios=0.56+ 5.11 (diameter)    a. Interpret the slope of your model in context.    b. What is the predicted number of cheerios for a plate with a diameter of 11?      c. The observed number of cheerios for a plate with a diameter of 11 inches is 51. Find the residual for a plate with a diameter of 11 and interpret its meaning.      d. Based on your residual from part c, was this an over- or underestimate?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 2CYU
Question
An 8th grade class develops a linear model that predicts the number of cheerios that fit on the circumference of a plate by using the diameter in inches.

 

Their model is Cheerios=0.56+ 5.11 (diameter) 

 

a. Interpret the slope of your model in context. 

 

b. What is the predicted number of cheerios for a plate with a diameter of 11? 

 

 

c. The observed number of cheerios for a plate with a diameter of 11 inches is 51. Find the residual for a plate with a diameter of 11 and interpret its meaning. 

 

 

d. Based on your residual from part c, was this an over- or underestimate? 

 

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