Question

a line of best fit is $f(x) \approx -0.86x + 13.5$ for the set of points in the table.\
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$x$	$f(x)$	\
---	---	\
2	12.	\
3	10	\
5	10	\
6	8	\
7	9	\
8	5	\
9	6	\

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using the equation for the line of best fit, what is a good approximation the value of the function, $f(x)$, when $x = 18$?\
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options: 3, $-2$, 12, (the last option is partially visible)

Explanation:

Step1: Substitute \( x = 18 \) into the function

We have the line of best fit \( f(x) \approx -0.86x + 13.5 \). Substitute \( x = 18 \) into this equation.
\( f(18) \approx -0.86\times18 + 13.5 \)

Step2: Calculate the multiplication

First, calculate \( -0.86\times18 \). \( -0.86\times18 = -15.48 \)

Step3: Calculate the addition

Now, add 13.5 to \( -15.48 \). \( -15.48 + 13.5 = -1.98 \approx -2 \)

Answer:

\(-2\) (corresponding to the option with value \(-2\))