The difference between the observed value of the dependent variable and the value predicted using the estimated regression equation is known as the a. error term. b. constant term. c. model parameter. d. residual

For this case we define the dependent variable as Y and the independent variable X. We assume that we have n observations and that means the following pairs:

For this case we assume that we want to find a linear regression model given by:

Where:

represent the estimated slope for the model

represent the estimated intercept for the model

And for any estimation of the dependent variable is given by this model.

The difference between the observed value of the dependnet variable and the value predicted using the estimated regression equation is known as residual, and the residual is given by this formula:

So the best option for this case is:

d. residual

Step-by-step explanation:

For this case we define the dependent variable as Y and the independent variable X. We assume that we have n observations and that means the following pairs:

For this case we assume that we want to find a linear regression model given by:

Where:

represent the estimated slope for the model

represent the estimated intercept for the model

And for any estimation of the dependent variable is given by this model.

The difference between the observed value of the dependnet variable and the value predicted using the estimated regression equation is known as residual, and the residual is given by this formula:

So the best option for this case is:

d. residual

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

ok then what happened.