# M:C:MC:SET:2C

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Learn more about Problem Solving and Data Analysis.

**Questions 3–5 refer to the following information.**

The first metacarpal bone is located in the wrist. The scatterplot below shows the relationship between the length of the first metacarpal bone and height for 9 people. The line of best fit is also shown.

Based on the line of best fit, what is the predicted height for someone with a first metacarpal bone that has a length of 4.45 centimeters?

### Select an Answer

168 centimeters

169 centimeters

170 centimeters

171 centimeters

### View Correct Answer

Choice C is correct. Students must see that the scale of the *x*-axis is 0.1, and therefore the *x*-value of 4.45 is halfway between the unmarked value of 4.4 and the marked value of 4.5. The student must then find the *y*-value on the line of best fit that corresponds with an *x*-value of 4.45, which is 170.

Choice A is not the correct answer. A student who mistakenly finds the point on the line between the *x*-values of 4.3 and 4.4 will find a predicted metacarpal bone length of 168 centimeters.

Choice B is not the correct answer. A student who mistakenly finds the point on the line that corresponds with an *x*-value of 4.4 centimeters will find a predicted height of approximately 169 centimeters.

Choice D is not the correct answer. A student who mistakenly finds the point on the line that corresponds with an *x*-value of 4.5 centimeters will find a predicted height of approximately 171 centimeters. Students might also choose this option if they mistakenly use the data point that has an *x*-value closest to 4.45 cm.

Students must use the line of best fit to make a prediction. Students must also demonstrate fluency in reading graphs and decimal numbers.