Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

kiley gathered the data in the table. she found the approximate line of…

Question

kiley gathered the data in the table. she found the approximate line of best fit to be ( y = 1.6x - 4 ). what is the residual value when ( x = 3 )? -1.8 -0.2 0.2 1.8

Explanation:

Step1: Calculate the predicted value \( \hat{y} \)

Substitute \( x = 3 \) into the line of best - fit equation \( y=1.6x - 4 \).

$$ LATEXBLOCK0 $$

Step2: Calculate the residual value

The formula for the residual is \( e=y-\hat{y} \). From the table, when \( x = 3 \), \( y=-1 \).

$$ LATEXBLOCK1 $$

Answer:

-1.8