Question
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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.
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In this context, what does the slope tell you?
Ask by Hobbs Flynn. in the United States
Jan 24,2025
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Answer
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!