Ascatter plot with a line is shown: which statement is most likely correct about the line? it can be a line of best fit because it is close to most data points. it can be a line of best fit because it passes through all the data points. it cannot be a line of best fit because it is not close to most of the points. *** it cannot be the line of best fit because it does not show a positive association.

Answer

It can be the line of best fit because it closely fits the data points.

Step-by-step explanation:

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1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.