Question

How many of the 9 people listed in the scatterplot have an actual height that differs by more than 3 centimeters from the height predicted by the line of best fit?

Answer 1

So as we can see we have 4 points out of the 9 who satisfy the condition
`|y_i -\hat y_i| \geq 3`

Explanation:

We assume that we have a plot given like the figure 1 attached

We have n points and we need to find How many of the 9 people listed in the scatterplot have an actual height that differs by more than 3 centimeters from the height predicted by the line of best fit?

So for this case we need to have the predicted value
`\hat y` and the real value y. We are going to put these two values and the difference

`y_i`
`\hat y_i`
`|y_i -\hat y_i|`

157 161.5 4.5

163 163.1 0.1

175 167 8.0

171 170.5 0.5

173 172.5 0.5

173 174.3 1.3

172 176 4.0

183 178 5.0

178 180 2.0

So as we can see we have 4 points out of the 9 who satisfy the condition
`|y_i -\hat y_i| \geq 3`