The scatterplot shows the weights, in kilograms, of students of different heights, in centimeters, in a school. According to the line of best fit in the scatterplot, which of the following is the closest approximation of the height of a student whose weight is 75 kilograms? A) 158, B) 166, C) 175, or D) 172.
So in the question, what we need to do is find our approximation for the height of a student whose weight is 75 kilograms. And to do that, we’re going to be using the line of best fit. And the line of best fit is a line that is drawn on a scatterplot to help us model the trend of the points that have been plotted.
So we can see that we’ve got the line of best fit here. So to make an estimate for the height of a student whose weight is 75 kilograms, I drew a line across from 75 kilograms to our line of best fit. And then I drew it down to our 𝑥-axis, which is our height.
So now what we can do is see which one of our answers is going to be the best approximation. So let’s start with 158. Well, I’ve marked on 158 approximately on our 𝑥-axis. We can see that this is not where the line has come down to. So therefore, 158 will not be the correct answer.
Well then, if we look at answer B), we can see that 166, which I’ve now marked on the 𝑥-axis, is actually pretty close to the line that comes down when we’d go across from 75 kilograms to the line of best fit. So this could possibly be our closest approximation.
Let’s move on to C). Well, C) is 175. Well, I’ve marked this on our 𝑥-axis. And we can see that this is in fact further away. So that means that C) is not the correct answer. And if we mark on D) — so that’s 172 — again we can see this is a bit closer than 175. But this is still further away from our line than 166. So this is not the correct answer.
So therefore, we can say that the answer B) 166 is gonna be the closest approximation for the height of a student whose weight is 75 kilograms.