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). Questions: 1. How do I interpret the slope of the model? 2. How do I interpret the intercept of the model? Does it make sense? Why or why not? 3. If the diameter is increased from 4 inches to 14 inches, the predicted number of cheerios will increase by what amount? (answer: 72.1)
Problem:
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).
Questions:
1. How do I interpret the slope of the model?
2. How do I interpret the intercept of the model? Does it make sense? Why or why not?
3. If the diameter is increased from 4 inches to 14 inches, the predicted number of cheerios will increase by what amount? (answer: 72.1)
4. The observed number of cheerios for a plate with a diameter of 11 inches is 51. What is the predicted number of cheerios for a plate with a diameter of 11? (answer: 56.77)
5. Find the residual for a plate with a diameter of 11 and interpret its meaning. (answer: -5.77 but how do I interpret it. I'm not really understanding the residual).
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