Problem-Solving and Data AnalysisHardPoint farthest from the line of best fit
Problem-Solving and Data Analysis practice question
x | actual y | predicted y
1 | 8 | 7
3 | 15 | 11
5 | 14 | 15
7 | 20 | 19
The table shows the actual y-value and the y-value predicted by a line of best fit at four values of x. At which value of x is the actual point FARTHEST from the line?
- A. x = 3Correct
- B. x = 1
- C. x = 5
- D. x = 7
Answer: A. x = 3
The distance from the line is the gap between actual and predicted: 1, 4, 1 and 1 respectively. The largest gap, 4, is at x = 3.
Why the other answers are wrong
- B. x = 1
- At x = 1 the gap is 8 − 7 = 1.
- C. x = 5
- At x = 5 the gap is 15 − 14 = 1 (the point is below the line, but only by 1).
- D. x = 7
- At x = 7 the gap is 20 − 19 = 1.
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