Based on this equation, estimate the score for a student that spent 3.8 hours studying.
So it would be thisĬhoice right over here. And if we look at all of these choices, only this one has a slope of 20. Trying to fit to the data, is 20 over one. So our change in y overĬhange in x for this model, for this line that's When we increase by one, when we increase along our x-axis by one, so change in x is one, what is our change in y? Our change in y looks like, let's see, we went from 20 to 40. Of these choices here have a y-intercept of 20, so So essentially, we just want to figure out what is the equation of this line? Well, it looks like the Over here by this line that's trying to fit to the, that's trying to fit to the data. Model, they're really saying which of these linear equations describes or is being plotted right Of these linear equations best describes the given And so then, and these areĪll the different students, each of these points represents a student, and then they fit a line. This over here looks like a student who studied over four hours, or they reported that, and they got, looks likeĪ 95 or a 96 on the exam. This right over here shows, or like this one over here is a student who says they studied two hours, and it looks like they scoredĪbout a 64, 65 on the test.
More than half an hour, and they didn't actuallyĭo that well on the test, looks like they scored aĤ3 or a 44 on the test. Point right over here, this shows that some studentĪt least self-reported they studied a little bit Which of these linear equations best describes the given model? So this, you know, this Like a pretty good fit if I just eyeball it. They don't tell us how the line was fit, but this actually looks Students spent studying and their score on the test. Shows the relationship between how many hours Included a survey question asking how many hours students
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