Question

jace gathered the data in the table. he found the approximate line of best fit to be ( y = - 0.7x + 2.36 ). what is the residual value when ( x = 5 )? ( - 3.14 ) ( - 0.86 ) ( 0.86 ) ( 3.14 )

Explanation:

Step1: Find the predicted y-value

Using the line of best fit \( y = -0.7x + 2.36 \), substitute \( x = 5 \):
\( y = -0.7(5) + 2.36 = -3.5 + 2.36 = -1.14 \)

Step2: Calculate the residual

Residual = Observed y - Predicted y. From the table, when \( x = 5 \), observed \( y = -2 \).
Residual = \( -2 - (-1.14) = -2 + 1.14 = -0.86 \)

Answer:

-0.86