Question

a line of best fit is (f(x) approx -0.86x + 13.5) for the set of points in the table.

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)?

-2
-5
3
12

Explanation:

Identify the given equation and input value

The line of best fit is given by:

$$f(x) \approx -0.86x + 13.5$$

We need to approximate the value of \(f(x)\) when \(x = 18\).

Substitute the value of x into the equation

Substitute \(x = 18\) into the linear model:

$$f(18) \approx -0.86(18) + 13.5$$

Calculate the final approximated value

Compute the multiplication and addition:

$$-0.86 \times 18 = -15.48$$

$$f(18) \approx -15.48 + 13.5 = -1.98$$

Rounding \(-1.98\) to the nearest integer gives \(-2\).

Answer:

• (A) -2 (Correct answer)
• (B) -5
• (C) 3
• (D) 12