Question

yannis claims that this line appropriately fits the data. which statement best describes yannis’s claim? a the claim is false because the line should go through the origin. b the claim is true because the line is through some of the data points. c the claim is true because the line is through or above all the data points. d the claim is false because the line should have about the same number of data points above and below it.

Explanation:

Step1: Analyze the Line and Data Points

Observe the graph: the line is above or through all data points. A good line of fit should have roughly equal data points above and below.

Step2: Evaluate Each Option

• Option A: Origin isn't necessary for a line of fit. Eliminate.
• Option B: The line isn't through "some" in a fitting way (it's above most). Eliminate.
• Option C: A line of fit shouldn't be above all; it should balance points. Eliminate.
• Option D: The line is through or above all data, so the claim is false as a good fit needs balanced points above/below. Correct.

Answer:

D. The claim is false because the line should have about the same number of data points above and below it.