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Үндсэн товъёог

Scatter plot: smokers

Video transcript

The percent of adults who smoke recorded every few years since 1967 suggests a negative linear association with no outliers. On average, the percent drops by 0.5 points each year. Which of the following plots suits the above description? So let's see, this looks like a negative linear association. As the years go by, you have a smaller percentage of smokers. This one does too. As years go by, you have the number of smokers go down and down. This one down here also looks like that, although it's not as smooth. If you were to fit a line here, it looks like you have a few outliers. Well, this is a positive correlation. So we can definitely rule out Graph 4. Now, the other thing that they told us is that there are no outliers, suggests a negative linear association with no outliers. If you were to try to fit a line to Graph 3, you could fit a line pretty reasonably. That would go someplace like that. But it would have this outlier right over here. It looks like it's 12 or 13 years after 1967. So that would be 1980. It looks like an outlier there. But they said it didn't have any outliers. So we would rule out Graph 3. And so we have to pick between Graph 1 and Graph 2. So the other hint they give us or piece of data they give us is that the percent drops by 0.5% each year. So here's what's happening. In 1967, it looks like we're at about 55%. And then 10 years go by. We are roughly at around 45, a little under 45%. So we dropped 10% in 10 years. That seems to be how much this is dropping, roughly 10% in 10 years. Another 10 years go by. We go from 45, a little more than 10% in 10 years. And so that would mean that we're dropping, on average, more than one percentage point per year. That seems more than what's going on here. Now, let's look over here. Over here, we're starting, it looks like, at around 42%. And then after 10 years, it looks like we're at 37%. So it looks like we've dropped about 5% in 10 years, which is consistent with this. If you drop 5% in 10 years, that means you drop half a percent per year. So we'll go with Graph 2.