Dr. Wong has a table of data in her veterinary office that shows the average lifespans and weights of several popular dog breeds
. Alfonso made a scatterplot of these data for a math project.
Answer the questions to make predictions about the lifespan of a specific breed of dog.
1. Describe the association shown by this scatterplot.
2. Alfonso is thinking of getting a bloodhound. Bloodhounds usually weigh about 90 pounds. Based on the data, estimate for the lifespan of a bloodhound. Explain how you made your estimate.
3. Alfonso's friend Dani tells Alfonso that her bloodhound, Ol' Sniffy, lived to be 14.
Based on what you know, do you think this was because:
1. Alfonso didn't use a good estimation method,
2. Dani doesn't remember Ol' Sniffy's age correctly, or,
3. Ol' Sniffy lived an unusually long time?
Answer the questions to make predictions about the lifespan of a specific breed of dog.
1. Describe the association shown by this scatterplot.
2. Alfonso is thinking of getting a bloodhound. Bloodhounds usually weigh about 90 pounds. Based on the data, estimate for the lifespan of a bloodhound. Explain how you made your estimate.
3. Alfonso's friend Dani tells Alfonso that her bloodhound, Ol' Sniffy, lived to be 14.
Based on what you know, do you think this was because:
1. Alfonso didn't use a good estimation method,
2. Dani doesn't remember Ol' Sniffy's age correctly, or,
3. Ol' Sniffy lived an unusually long time?
1 answer:
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I'll use subscript notation for brevity, i.e. .
By the chain rule,
We have
and
When , we have
and the partial derivatives take on values of
So we end up with