Question bank / Two-variable data: models and scatterplots

Math · Problem-Solving and Data AnalysisMedium

A scatterplot shows 1212 data points and the line of best fit y=1.2x+5y = 1.2x + 5. One of the data points is (10,20)(10, 20). What is the difference between the actual yy-value of this point and the yy-value predicted by the line of best fit (actual minus predicted)?

A

−3-3

B

33

C

1717

D

2020

Show answer and explanation

Answer: B

The predicted value at x=10x = 10 is 1.2(10)+5=171.2(10) + 5 = 17. The actual value is 2020, so actual minus predicted is 20−17=320 - 17 = 3. The point lies 33 units above the line.

Choice A subtracts in the wrong order (predicted minus actual).

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