consider the graph of the line of best fit, $y = 0.5x + 1$, and the given data points.\nwhich is the…

consider the graph of the line of best fit, $y = 0.5x + 1$, and the given data points.\nwhich is the residual value when $x = 2$\n- $-2$\n- $-1$\n- $1$\n- $2$

consider the graph of the line of best fit, $y = 0.5x + 1$, and the given data points.\nwhich is the residual value when $x = 2$\n- $-2$\n- $-1$\n- $1$\n- $2$

Answer

Explanation:

Step1: Find observed y at x=2

From the graph, when $x=2$, the observed $y$-value is $1$.

Step2: Calculate predicted y at x=2

Substitute $x=2$ into $y=0.5x+1$: $y = 0.5(2) + 1 = 1 + 1 = 2$

Step3: Compute residual value

Residual = Observed $y$ - Predicted $y$ $1 - 2 = -1$

Answer:

-1