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While spending time with his extended family, Doug asked his family members for their ages, , and how many books they had read in the past year, . Then, he created a scatter plot and drew a line of best fit.
The equation for the line of best fit is .
In this context, what does the slope tell you?
Getting 3 years older was associated with reading 1 less book per year.
Getting 1 year older was associated with reading 3 fewer books per year.
Doug’s family members tended to read fewer than 22 books.
Doug’s family members tended to read at least 22 books.

Ask by Hobbs Flynn. in the United States
Jan 24,2025

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Getting 3 years older was associated with reading 1 less book per year.

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Mind Expander

Ah, the slope of a line can tell us so much! In Doug’s case, the line of best fit is represented by . The slope, which is , indicates that for every increase in age of 3 years ( ), there is a corresponding decrease in the number of books read by 1 ( ). So, if Doug’s family ages a bit, they might just be reading a tad less!
Now, about that y-intercept! When (which might humorously suggest a newborn), the equation suggests that they would read about 22 books. This implies that when they are very young, family members have a high capacity for reading—who knew toddlers could be bookworms? So, no matter how old they get, there’s still hope for a love of books!

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