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# Question 4 of 30

beginning of content:

# M:C:MC:SET:2B

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SAT

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PSAT/NMSQT

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PSAT 10

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Heart of Algebra

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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.

Which of the following is the best interpretation of the slope of the line of best fit in the context of this problem?

### Select an Answer

The predicted height increase in centimeters for one centimeter increase in the first metacarpal bone

Correct Answer:
Yes

The predicted first metacarpal bone increase in centimeters for every centimeter increase in height

Correct Answer:
No

The predicted height in centimeters of a person with a first metacarpal bone length of 0 centimeters

Correct Answer:
No

The predicted first metacarpal bone length in centimeters for a person with a height of 0 centimeters

Correct Answer:
No

### View Correct Answer

Choice A is correct. The slope is the change in the vertical distance divided by the change in the horizontal distance between any two points on a line. In this context, the change in the vertical distance is the change in the predicted height of a person, and the change in the horizontal distance is the change in the length of his or her first metacarpal bone. The unit rate, or slope, is the increase in predicted height for each increase of 1 centimeter of the first metacarpal bone.

Choice B is not the correct answer. Students who select this answer may have interpreted slope incorrectly as run over rise.

Choice C is not the correct answer. Students who select this answer may have mistaken slope for the y-intercept.

Choice D is not the correct answer. Students who select this answer may have mistaken slope for the x-intercept.

Question Difficulty:
easy
Objective:

Students must interpret the meaning of the slope of the line of best fit in the context provided.