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Question

A large company has 19 mainframe computers of a certain class. The scatterplot above shows the value and age for each of the 19 computers. A line of best fit for the data is also shown.
What is the number of computers for which the line of best fit predicts a value less than the actual value?

The correct answer is: 9


    We need to find the number of points marked on the scatterplot where, the corresponding value on the best fit is less than the actual value.
    Step-by-step solution:-
    Actual values are denoted by points marked on the scatterplot.
    ∴ we count the number of points for which the line of best fit is below those points on the diagram.
    i.e. 2  1-year-old computers, 2 2-year-old computers, 1 4-year-old computer, 1 5-year-old computer, 1 6-year-old computer and 2 7-year-old computers.
    ∴ Total number of such computers = 2 + 2 + 1 + 1 + 1 + 2 = 9.
    Final Answer:-
    ∴ Number of computers for which the line of best fit predicts a value less than the actual value is 9.

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