Question

A line of best fit is f(x) ≈ −0. 86x 13. 5 for the set of points in the table. A 2-column table with 7 rows. The first column is labeled x with entries 2, 3, 5, 6, 7, 8, 9. The second column is labeled f(x) with entries 12, 10, 10, 8, 9, 5, 6. Using the equation for the line of best fit, what is a good approximation for the value of the function, f(x), when x = 18? −5 −2 3 12.

Answer 1

The good approximation for the value of the function, f(x), when x = 18 is -2.

Given

A line of best fit is for the set of points in the table.

What is the linear equation?

The standard form of the linear equation is;

$\rm y =mx+c$

Where m is the slope of the line and c is the intercept.

Therefore,

By using the equation for the line of best fit, what is a good approximation for the value of the function, f(x), when x = 18 is;

$\rm f(x) = -0.86x + 13.5\\\\f(18)= -0.86(18)+13.5\\\\f(18)= -15.48 + 13.5 \\\\ f(18)= -1.98$

Hence, The good approximation for the value of the function, f(x), when x = 18 is -2.

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