The scatterplot shows the relationship between the length of the first metacarpal bone and height for 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?
The scatterplot shows the relationship between the length of the first metacarpal bone and height for 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?
The correct option is B 4
Choice
B is correct. The people who have first metacarpal bones of length 4.0,4.3,4.8 and 4.9 centimeters have heights that are greater than 3 centimeters different from the height predicted by the line of best
fit.
Choice A is not the correct answer. There are 2 people whose actual
heights are more than 3 centimeters above the height predicted by the
line of best fit. However, there are also 2 people whose actual heights
are farther than 3 centimeters below the line of best fit.
Choice C is not the correct answer. There are 6 data points in which
the absolute value of the between the actual height and the height
predicted by the line of best fit is greater than 1 centimeter.
Choice D is not the correct answer. The data on the graph represents 9 different people; however, the absolute value of the difference
between actual height and predicted height is not greater than 3 for all
of the people.
Choice B is correct. The people who have first metacarpal bones of length 4.0,4.3,4.8 and 4.9 centimeters have heights that are greater than 3 centimeters different from the height predicted by the line of best fit.
Choice A is not the correct answer. There are 2 people whose actual heights are more than 3 centimeters above the height predicted by the line of best fit. However, there are also 2 people whose actual heights are farther than 3 centimeters below the line of best fit.
Choice C is not the correct answer. There are 6 data points in which the absolute value of the between the actual height and the height predicted by the line of best fit is greater than 1 centimeter.
Choice D is not the correct answer. The data on the graph represents 9 different people; however, the absolute value of the difference between actual height and predicted height is not greater than 3 for all of the people.
