Question

Jace gathered the data in the table. he found the approximate line of best fit to be y = –0.7x 2.36. a 2-column table with 5 rows. the first column is labeled x with entries 0, 1, 4, 5, 7. the second column is labeled y with entries 3, 1, 0, negative 2, negative 2. what is the residual value when x = 5? –3.14 –0.86 0.86 3.14

Answer 1

The residual value is the difference in the value of the y coordinate between the real value and the expected value. The residual value will be equal to -0.86.

What is residual value?

The residual value is the difference in the value of y coordinate between the real value and the expected value.

Residual Value =  Real value of y - The predicted value of y

The value of y in the table is -2 when the value of x is 5. And as per the function, the value of y when the value of x is 5 can be written as,

$y = -0.7x+2.36\\\\y = -0.7(5)+2.36\\\\y= -3.5+2.36\\\\y=-1.14$

Now, the residual value can be written as,

$\text{Residual Value} = \text{(Value of y in the table)} - \text{(Value of y as per the function)}\\\\\text{Residual value} = -2 - (-1.14)\\\\\text{Residual value} = -2+1.14\\\\\text{Residual value} = -0.86$

Hence, the residual value will be equal to -0.86.

Learn more about Residual Value:

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