kiley gathered the data in the table. she found the approximate line of best fit to be ( y = 1.6x - 4 )…

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

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

Answer

Explanation:

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

Substitute ( x = 3 ) into the line of best - fit equation ( y=1.6x - 4 ). [ \begin{align*} \hat{y}&=1.6\times3-4\ &=4.8 - 4\ &=0.8 \end{align*} ]

Step2: Calculate the residual value

The formula for the residual is ( e=y-\hat{y} ). From the table, when ( x = 3 ), ( y=-1 ). [ \begin{align*} e&=-1 - 0.8\ &=-1.8 \end{align*} ]

Answer:

-1.8