Question

the chart represents a data sets given values, predicted values (using a line of best fit for the data), and residual values.

x	given	predicted	residual
2	12	11	1
3	13	15	g
4	20	19	h

which are the missing residual values?

• $g = 2$ and $h = -1$
• $g = 28$ and $h = 39$
• $g = -2$ and $h = 1$
• $g = -28$ and $h = -39$

Explanation:

Step1: Recall Residual Formula

Residual = Given - Predicted.

Step2: Calculate g

For \( x = 3 \), Given = 13, Predicted = 15.
\( g = 13 - 15 = -2 \).

Step3: Calculate h

For \( x = 4 \), Given = 20, Predicted = 19.
\( h = 20 - 19 = 1 \).

Answer:

\( g = -2 \) and \( h = 1 \) (the option: \( g = -2 \) and \( h = 1 \))