(B) 4 of the 9 people have an actual height that differs by more than 3 centimeters from the height predicted by the line of best fit.
To find how many of the nine people have an actual height:
- People with first metacarpal bones measuring 4.0, 4.3, 4.8, and 4.9 centimeters have heights that differ by more than 3 centimeters from the height predicted by the line of best fit.
- Option A is not the correct response. There are two people whose actual heights are more than 3 centimeters higher than the line of best fit predicts. There are, however, two people whose actual heights are more than three centimeters below the line of best fit.
- Option C is not the correct response. There are 6 data points with absolute values greater than 1 centimeter between the actual height and the height predicted by the line of best fit.
- Option D is not the correct response. The data on the graph represents 9 different people; however, the absolute value of the difference between actual and predicted height for all of the people is less than 3.
Therefore, (B) 4 of the 9 people have an actual height that differs by more than 3 centimeters from the height predicted by the line of best fit.
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The complete question is shown below:
The scatterplot shows the relationship between the length of the first metacarpal bone and the height of 9 people. The line of best fit is also shown.
How many of the nine people have an actual height that differs by more than 3 centimeters from the height predicted by the line of best fit?
